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Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions...

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Perturbative QCD in hadron collisions Gavin Salam CERN, LPTHE/CNRS (Paris) & Princeton University IX Latin American Symposium on High Energy Physics (SILAFAE 2012) ao Paolo, Brazil, 10–14 December 2012
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Page 1: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

Perturbative QCD in hadron collisions

Gavin Salam

CERN, LPTHE/CNRS (Paris) & Princeton University

IX Latin American Symposium on High Energy Physics (SILAFAE 2012)Sao Paolo, Brazil, 10–14 December 2012

Page 2: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

An exciting past 24 months

Higgs(-like) discovery

tt asymmetry

W + dijet CDF anomaly

Exclusion of swathes of SUSY, etc.

. . .

This talk: examine recent collider-QCD developments andthe role they’re playing in some of these “headline” topics,

as well as touch on some open problems

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 2 / 35

Page 3: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

Some of what goes into collider predictions

eventunderlying

π, K, p, etc.hadronisation

shower

u

proton proton

τ + τ −

H

u

u

hardproc.

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 3 / 35

Page 4: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

Some of what goes into collider predictions

eventunderlying

π, K, p, etc.hadronisation

shower

u

proton proton

τ + τ −

H

u

u

hardproc.

αn + αn+1 + ...

τ + τ −

H

u

u

hardproc.

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 3 / 35

Page 5: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

What a perturbative series should look like

E.g. QCD corrections to e+e− → hadrons cross section:

R = 1 + 0.32αs + 0.14α2s − 0.41α3

s − 0.82α4s

keep in mind αs(mZ ) ≃ 0.118

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 4 / 35

Page 6: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

What it looks like at hadron colliders

Consider LO, NLO and their ratio K =NLO

LO

0.001

0.01

0.1

1

10

100

1000

200 400 600 800 1000 1200 1400

dσ/d

p t [p

b/G

eV]

pt [GeV]

pp, 14 TeVFastNLO, kt R=0.7

LO

NLO

NLO/LO ≃ 1.2

Adapted from Rubin, GPS & Sapeta ’10

Look at p t ofquark or gluon (jets)

gluon

proton proton

quark

1 + 2αs looks like a reasonable series

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 5 / 35

Page 7: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

What it looks like at hadron colliders

Consider LO, NLO and their ratio K =NLO

LO

10-2

10-1

1

101

102

103

104

200 400 600 800 1000 1200 1400

dσ/d

p t,Z

[fb

/ 100

GeV

]

pt,Z [GeV]

pp, 14 TeV

LO

NLO

NLO/LO ≃ 1.5

MCFM

Adapted from Rubin, GPS & Sapeta ’10

Look at p t ofZ−boson Z−boson

proton proton

quark

1 + C × αs, with quite large C ≃ 5

To date, no generalised understanding of size of C when in range 5− 10

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 5 / 35

Page 8: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

What it looks like at hadron colliders

Consider LO, NLO and their ratio K =NLO

LO

10-2

10-1

1

101

102

103

104

200 400 600 800 1000 1200 1400

dσ/d

p t,j1

[fb

/ 100

GeV

]

pt,j1 [GeV]

pp, 14 TeV

LO

NLO

NLO/LO ≃ 5

MCFM

Adapted from Rubin, GPS & Sapeta ’10

Look at p t ofquark (jet) Z−boson

proton proton

quark

1 + Cαs −→ C = 50 ?!! Often driven by new topologies

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 5 / 35

Page 9: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

The NLO revolutionand one way it’s being used

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 6 / 35

Page 10: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

SUSY example: gluino pair production

Signal

~g

~g~g

~q

~q

χ0

χ0

g

q

q

q

q

g

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 7 / 35

Page 11: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

SUSY example: gluino pair production

Signal

~g

~g~g

~q

~q

χ0

χ0

g

q

q

q

q

g

ET/

ET/

jet

jet

jet

jet

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 7 / 35

Page 12: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

SUSY example: gluino pair production

Signal Background

~g

~g~g

~q

~q

χ0

χ0

g

q

q

q

q

g

ET/

ET/

jet

jet

jet

jet

g

q

g

ν

ν−

g

q

q

Z

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 7 / 35

Page 13: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

SUSY example: gluino pair production

Signal Background

~g

~g~g

~q

~q

χ0

χ0

g

q

q

q

q

g

ET/

ET/

jet

jet

jet

jet

g

q

g

ν

ν−

g

q

q

ZET/

jet jet

jet

jet

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 7 / 35

Page 14: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

SUSY example: gluino pair production

Signal Background

g

q

g

ν

ν−

g

q

q

ZET/

jet jet

jet

jet

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 7 / 35

Complexity of NLO calculation determinedby final-state multiplicity: a 2 → 5 process.

Page 15: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

NLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timeline

1980 1985 1990 1995 2000 2005 2010

Page 16: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

NLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timeline

1980 1985 1990 1995 2000 2005 2010

2→

1

1979: NLO Drell-Yan [Altarelli, Ellis & Martinelli]1991: NLO gg → Higgs [Dawson; Djouadi, Spira & Zerwas]

Page 17: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

NLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timeline

1980 1985 1990 1995 2000 2005 2010

2→

1

2→

2

1987: NLO high-pt photoproduction [Aurenche et al]1988: NLO bb, tt [Nason et al]1988: NLO dijets [Aversa et al]1993: Vj [JETRAD, Giele, Glover & Kosower]

Page 18: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

NLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timeline

1980 1985 1990 1995 2000 2005 2010

2→

1

2→

2

2→

3

1998: NLO Wbb [MCFM: Ellis & Veseli]2000: NLO Zbb [MCFM: Campbell & Ellis]2001: NLO 3j [NLOJet++: Nagy]· · ·

2007: NLO tt j [Dittmaier, Uwer & Weinzierl ’07]· · ·

Page 19: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

NLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timeline

1980 1985 1990 1995 2000 2005 2010

2→

1

2→

2

2→

3

2→

4(W

/Z+3j,ttbb,ttjj,...)

Page 20: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

NLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timeline

1980 1985 1990 1995 2000 2005 2010

2→

1

2→

2

2→

3

2→

4(W

/Z+3j,ttbb,ttjj,...)

2009: NLO W+3j [Rocket: Ellis, Melnikov & Zanderighi] [unitarity]2009: NLO W+3j [BlackHat+Sherpa: Berger et al] [unitarity]2009: NLO ttbb [Bredenstein et al] [traditional]2009: NLO ttbb [HELAC-NLO: Bevilacqua et al] [unitarity]2009: NLO qq → bbbb [Golem: Binoth et al] [traditional]2010: NLO tt jj [HELAC-NLO: Bevilacqua et al] [unitarity]2010: NLO Z+3j [BlackHat+Sherpa: Berger et al] [unitarity]. . .

Page 21: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

NLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timelineNLO timeline

1980 1985 1990 1995 2000 2005 2010

2→

1

2→

2

2→

3

2→

4(W

/Z+3j,ttbb,ttjj,...)

2→

5(W

+4j,Z+4j)

automation

2→

6(ee→

7j[LC])

2010: NLO W+4j [BlackHat+Sherpa: Berger et al] [unitarity]2011/12: NLO WWjj [Rocket: Melia et al; GoSaM+MadX Greiner et al] [unitarity]2011: NLO Z+4j [BlackHat+Sherpa: Ita et al] [unitarity]2011/12: NLO 4j [BlackHat/NGluons+Sherpa: Bern et al; Badger et al] [unitarity]2011–: first automation [MadNLO: Hirschi et al] [unitarity + feyn.diags]2011–: first automation [Helac NLO: Bevilacqua et al] [unitarity]2011–: first automation [GoSam: Cullen et al] [feyn.diags(+unitarity)]2011: e+e− → 7j [Becker et al, leading colour] [numerical loops]

Page 22: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

W + 0,1,2,3,4 jets @NLO je

ts)

[pb]

jet

N≥(W

+

σ

1

10

210

310

410 + jetsνl→W

=7 TeVsData 2010, ALPGENSHERPAPYTHIABLACKHAT-SHERPA

-1Ldt=36 pb∫ jets, R=0.4Tanti-k

|<4.4jet y>30 GeV, |T

jetp

ATLAS

jets

) [p

b]je

tN≥

(W +

σ

1

10

210

310

410

jetNInclusive Jet Multiplicity,

0≥ 1≥ 2≥ 3≥ 4≥

The

ory/

Dat

a

0

1

jetNInclusive Jet Multiplicity,

0≥ 1≥ 2≥ 3≥ 4≥

The

ory/

Dat

a

0

1

jetNInclusive Jet Multiplicity,

0≥ 1≥ 2≥ 3≥ 4≥

The

ory/

Dat

a

0

1

Technical revolution has gonehand-in-hand with LHCmeasurements of thesecomplex processes.

Powerful validation of NLOapproach.

So do SUSY searches nowjust compare data to NLO?

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 9 / 35

Page 23: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

Two plots from a CMS SUSY analysis

Data v. Monte Carlo backgrounds Data v. “data-driven” backgrounds

So where are the NLO predictions being used?

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 10 / 35

Page 24: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

The CMS search did not estimate Z+jets bkgd from NLO. Instead used

dσZ+jets

dHT

=

(

dσγ+jets

dHT

)

data

×

(

dσZ+jets

dHT

/dσγ+jets

dHT

)

NLO

Example of widelyused data-drivenbkgd estimates

Combine best oftheory knowledgewith best of exper-imental knowledge.

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 11 / 35

Page 25: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

Merging NLO and showersand the CDF W + dijet anomaly

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 12 / 35

Page 26: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

Remember the CDF W+dijet excess?

]2 [GeV/cjjM100 200

)2E

vent

s/(8

GeV

/c

0

100

200

300

400

500

600

700

xxxxxx

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) -1CDF data (4.3 fbGaussian 2.5%WW+WZ 4.8%W+Jets 78.0%Top 6.3%

xxx

xxx

xxx

xxx

xxx

xxx

xxx

xxx

Z+jets 2.8%QCD 5.1%

(c)

) -1CDF data (4.3 fbGaussian 2.5%WW+WZ 4.8%W+Jets 78.0%Top 6.3%

xxx

xxx

xxx

xxx

xxx

xxx

xxx

xxx

Z+jets 2.8%QCD 5.1%

]2 [GeV/cjjM100 200

)2E

vent

s/(8

GeV

/c

0

100

200

300

400

500

600

700

]2 [GeV/cjjM100 200

)2E

vent

s/(8

GeV

/c

-50

0

50

100

150) -1Bkg Sub Data (4.3 fb

Gaussian

WW+WZ

) -1Bkg Sub Data (4.3 fb

Gaussian

WW+WZ

(a)

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 13 / 35

Page 27: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

and the D0 W+dijet non-excess?

]2Dijet Mass [GeV/c0 50 100 150 200 250 300

)2E

ve

nts

/ (

10

Ge

V/c

0

200

400

600

800

1000

1200DataDibosonW+JetsZ+JetsTopMultijetsGaussian (4 pb)

2 = 145 GeV/cjjM

-1DØ, 4.3 fb

(a)

]2Dijet Mass [GeV/c0 50 100 150 200 250 300

)2E

ve

nts

/ (

10

Ge

V/c

-50

0

50

100

150

200

250

300Data - Bkgd

1 s.d.±Bkgd

DibosonGaussian (4 pb)

2 = 145 GeV/cjjM

-1DØ, 4.3 fb(b)

) = 0.5262χP(

CDF and DØ data are not being compared to NLO (=W+partons):

They are “detector-level” data and can only be compared tohadron-level calculations + detector simulation.

In this case hadron-level = Alpgen ⊗ Pythia

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 13 / 35

Page 28: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

Perturbative expansion: for precision.Parton Showers (PS): for realism;

To combine them: must remove double counting

Tree-level (LO) + PSDifferent tree-level multiplicites (W, W+1j, W+2j, etc.) get combined

MLM/CKKW: Alpgen+Pythia/Herwig, MadGraph, Sherpa, . . .Fully automated

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 14 / 35

eventunderlying

π, K, p, etc.hadronisation

shower

u

proton proton

τ + τ −

H

u

u

hardproc.

αn + αn+1 + ...

τ + τ −

H

u

u

hardproc.

eventunderlying

π, K, p, etc.hadronisation

shower

u

proton proton

τ + τ −

H

u

u

hardproc.

π, K, p, etc.hadronisation

shower

Page 29: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

NLO + PS — MC@NLO, POWHEGGreater accuracy, but harder to perform than LO+PS:

NLO contains more physics than LO,so more double-counting with parton shower

Less “available” than tree+PS: until recently,➥ A single (low) multiplicity, e.g. W@NLO + PS

➥ Programmed manually for each process

Recently: move towards automation:

POWHEGBox: tt+jet, W+W++2j, . . .aMC@NLO (MadLoop + auto MC@NLO): W+2j, Z+2b, . . .

+ ideas for combining multiplicities, extending their applicabilitye.g. MENLOPS, MINLO, FxFx merging, Sherpa merging, UNLOPS, . . .

One application of this progress has been to the W+dijet anomaly

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 15 / 35

Page 30: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

CDF & DØ use Alpgen (scaled): tree level QCD + parton shower

adapted from Frederix et al 1110.5502

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 16 / 35

Page 31: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

CDF & DØ use Alpgen (scaled): tree level QCD + parton shower

NLO has substantial shape differences: should we worry?

adapted from Frederix et al 1110.5502

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 16 / 35

Page 32: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

CDF & DØ use Alpgen (scaled): tree level QCD + parton shower

NLO has substantial shape differences: should we worry?

NLO + parton shower (aMC@NLO) is close to Alpgen→ QCD under good control

adapted from Frederix et al 1110.5502

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 16 / 35

Page 33: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

Instead of data−MC ⇒ data/MC

]2 [GeV/cjjM100 200

)2E

vent

s/(8

GeV

/c

0

100

200

300

400

500

600

700

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) -1CDF data (4.3 fbGaussian 2.5%WW+WZ 4.8%W+Jets 78.0%Top 6.3%

xxx

xxx

xxx

xxx

xxx

xxx

xxx

xxx

Z+jets 2.8%QCD 5.1%

(c)

) -1CDF data (4.3 fbGaussian 2.5%WW+WZ 4.8%W+Jets 78.0%Top 6.3%

xxx

xxx

xxx

xxx

xxx

xxx

xxx

xxx

Z+jets 2.8%QCD 5.1%

]2 [GeV/cjjM100 200

)2E

vent

s/(8

GeV

/c

0

100

200

300

400

500

600

700

Dat

a / M

C

Mjj [GeV/c2]

Data extracted from

CD

F plots w

ith aid of g3data

CDF lνjj data (7.3 fb-1)MC = VV, V+j, ttbar, QCD

MC + Gaussian

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1

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Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 17 / 35

Page 34: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

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CDF lνjj data (7.3 fb-1)MC = VV, V+j, ttbar, QCD

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Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 17 / 35

Page 35: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

Instead of data−MC ⇒ data/MC

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) -1CDF data (4.3 fbGaussian 2.5%WW+WZ 4.8%W+Jets 78.0%Top 6.3%

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Z+jets 2.8%QCD 5.1%

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vent

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Data extracted from

CD

F plots w

ith aid of g3data

CDF lνjj data (7.3 fb-1)MC = VV, V+j, ttbar, QCD

0.8

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Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 17 / 35

Page 36: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

Instead of data−MC ⇒ data/MC

]2 [GeV/cjjM100 200

)2E

vent

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GeV

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vent

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600

700

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a / M

C

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Data extracted from

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F plots w

ith aid of g3data

CDF lνjj data (7.3 fb-1)MC = VV, V+j, ttbar, QCD

0.8

0.9

1

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aMC@NLOuncertainties: −→−→−→

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 17 / 35

“Anomaly” is a 10% effect(not clear it’s really a peak)

10% is clearly at limitof NLO accuracy

Page 37: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

Going beyond limitations of NLO[two of the options]

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 18 / 35

High precision — NNLO — is crucial forkey processes, but not yet always available:

✓ W, Z, Higgs, γγ, VBF, VH, (tt)

✗ V V , (tt), inclusive jets, etc.

Important also to develop methods so thatwe’re less sensitive to limits on our precision.

Generally by finding ways to distinguish signalsfrom the background more efficiently, i.e.

increasing S/B .

Page 38: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

NNLO: crucial for precision

New in 2010: NNLO VBF→H

σ (pb) at LHC√s = 7 TeV

scale choice:Q/4 ≤ µR,µF ≤ 4Q

LONLONNLO

10-1

1

10-1

1

σ(µR,µF)/σNNLO(Q)

0.92

0.96

1

1.04

1.08

100 150 200 250 300 350 400 450 500

mH(GeV)

Bolzoni, Maltoni, Moch & Zaro

New in 2011: NNLO WH (differential)

LO

NNLONLO

Ferrera, Grazzini & Tramontano

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 19 / 35

Page 39: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

Most groundbreaking new NNLO calculation of past years:

qq → tt

Baernreuther, Czakon and Mitov 2012

First NNLO calculation with coloured particles in the initialand final state. Its new techniques may help open the way

to many other important NNLO calculations.

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 20 / 35

Page 40: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u
Page 41: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

LO, NLO , NNLO res

Baernreuther, Czakon & Mitov NNLO qq → tt cross-section

Page 42: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

NNLO: yet not always reassuring

New in 2011: NNLO γγ

LO

NLO

NNLO

Catani, Cieri, de Florian, Ferrera & Grazzini

Some key processes see large orgiant NLO/NNLO corrections.

Can’t help but wonder if we’remissing something,

especially in the gg → H case.

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 23 / 35

Page 43: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

One series that’s ugly: gluon fusion Higgs cross section

For 8 TeV pp collisions, mH = 125 GeV:

σgg→H = 6.8 pb(

1 + 9.9αs + 36α2s + · · ·

)

= 6.8 pb (1 + 1.23 + 0.56 + · · · ) = 19.0 pb

for µR = µF = 12mH , αs(µR) = 0.124

σgg→H = 5.6 pb(

1 + 11.4αs + 63α2s + · · ·

)

= 5.6 pb (1 + 1.27 + 0.79 + · · · ) = 17.2 pb

for µR = µF = mH , αs(µR) = 0.112

There are explanations: threshold logarithms, π2 terms from analyticcontinuation. A problem is perhaps that there are too many explanations. . .

Baglio & Djouadi have raised the convergence issue before

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 24 / 35

Page 44: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

Consequences of a bad series

Everything else you try about (gluon-fusion) Higgs production suffers as aresult of the original bad series: e.g. jet veto efficiency

FIXED ORDER PREDICTION

ε(p

t,ve

to)

pt,veto [GeV]

Higgs production (mH = 125 GeV), NNLO

pp, 7 TeVmH/4 < µR,F < mH

MSTW2008 NNLO PDFsanti-kt, R = 0.5

scheme a

scheme b

scheme c

0

0.2

0.4

0.6

0.8

1

10 100

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 25 / 35

Page 45: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

Consequences of a bad series

Everything else you try about (gluon-fusion) Higgs production suffers as aresult of the original bad series: e.g. jet veto efficiency

FIXED ORDER PREDICTION

ε(p

t,ve

to)

pt,veto [GeV]

Higgs production (mH = 125 GeV), NNLO

pp, 7 TeVmH/4 < µR,F < mH

MSTW2008 NNLO PDFsanti-kt, R = 0.5

scheme a

scheme b

scheme c

0

0.2

0.4

0.6

0.8

1

10 100

RESUMMED PREDICTION

ε(p t

,vet

o)

gg → H, mH = 125 GeV

NNLO

NNLL+NNLO

HqT-rescaled POWHEG + Pythia 0.2

0.4

0.6

0.8

1

pp, 8 TeVmH /4 < µR,F , Q < mH , schemes a,b,cMSTW2008 NNLO PDFsanti-kt, R = 0.5Pythia partons, Perugia 2011 tune

ε(p t

,vet

o) /

ε cen

tral

(pt,v

eto)

pt,veto [GeV]

0.8

0.9

1

1.1

1.2

10 20 30 50 70 100

Banfi, Monni, GPS & Zanderighi ’12

see also Becher & Neubert ’12Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 25 / 35

Page 46: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

Looking at data differently

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 26 / 35

Page 47: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

H → bb (57% of decays) v. hard to see

Best hope is pp → W±H (and ZH), W±→ ℓ±ν, H → bb.

e,µ

b

νb

H

W

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 27 / 35

Page 48: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

H → bb (57% of decays) v. hard to see

Best hope is pp → W±H (and ZH), W±→ ℓ±ν, H → bb.

pp → WH → ℓνbb + bkgds

ATLAS TDR 1999

Conclusion (ATLAS TDR):

“The extraction of a signal from H → bbdecays in the WH channel will be verydifficult at the LHC, even under the mostoptimistic assumptions [...]”

Low efficiency, huge backgrounds, e.g. tt

NB: Evidence of this channel seen recently

at Tevatron, but similar difficulties

e,µ

b

νb

H

W

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 27 / 35

Page 49: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

H → bb (57% of decays) v. hard to see

Best hope is pp → W±H (and ZH), W±→ ℓ±ν, H → bb.

pp → WH → ℓνbb + bkgds

ATLAS TDR 1999

Conclusion (ATLAS TDR):

“The extraction of a signal from H → bbdecays in the WH channel will be verydifficult at the LHC, even under the mostoptimistic assumptions [...]”

Low efficiency, huge backgrounds, e.g. tt

Analysis of signal/bkgd suggests:

◮ Go to high pt (ptH , ptW > 200 GeV)◮ Lose 95% of signal, but more efficient?◮ Maybe kill tt & gain clarity?

W

H

bb

e,µ ν

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 27 / 35

Page 50: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

pp → ZH → ννbb, @14TeV, mH=115GeV

Herwig 6.510 + Jimmy 4.31 + FastJet 2.3

Cluster event, C/A, R=1.2

Butterworth, Davison, Rubin & GPS ’08

also earlier work by Seymour; Butterworth et al

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 28 / 35

Page 51: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

pp → ZH → ννbb, @14TeV, mH=115GeV

Herwig 6.510 + Jimmy 4.31 + FastJet 2.3

Fill it in, → show jets more clearly

Butterworth, Davison, Rubin & GPS ’08

also earlier work by Seymour; Butterworth et al

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 28 / 35

Page 52: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

pp → ZH → ννbb, @14TeV, mH=115GeV

Herwig 6.510 + Jimmy 4.31 + FastJet 2.3

Consider hardest jet, m = 150 GeV

Butterworth, Davison, Rubin & GPS ’08

also earlier work by Seymour; Butterworth et al

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 28 / 35

Page 53: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

pp → ZH → ννbb, @14TeV, mH=115GeV

Herwig 6.510 + Jimmy 4.31 + FastJet 2.3

split: m = 150 GeV, max(m1,m2)m

= 0.92 → repeat

Butterworth, Davison, Rubin & GPS ’08

also earlier work by Seymour; Butterworth et al

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 28 / 35

Page 54: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

pp → ZH → ννbb, @14TeV, mH=115GeV

Herwig 6.510 + Jimmy 4.31 + FastJet 2.3

split: m = 139 GeV, max(m1,m2)m

= 0.37 → mass drop

Butterworth, Davison, Rubin & GPS ’08

also earlier work by Seymour; Butterworth et al

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 28 / 35

Page 55: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

pp → ZH → ννbb, @14TeV, mH=115GeV

Herwig 6.510 + Jimmy 4.31 + FastJet 2.3

check: y12 ≃pt2pt1

≃ 0.7 → OK + 2 b-tags (anti-QCD)

Butterworth, Davison, Rubin & GPS ’08

also earlier work by Seymour; Butterworth et al

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 28 / 35

Page 56: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

pp → ZH → ννbb, @14TeV, mH=115GeV

Herwig 6.510 + Jimmy 4.31 + FastJet 2.3

Rfilt = 0.3

Butterworth, Davison, Rubin & GPS ’08

also earlier work by Seymour; Butterworth et al

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 28 / 35

Page 57: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

pp → ZH → ννbb, @14TeV, mH=115GeV

Herwig 6.510 + Jimmy 4.31 + FastJet 2.3

Rfilt = 0.3: take 3 hardest, m = 117 GeV

Butterworth, Davison, Rubin & GPS ’08

also earlier work by Seymour; Butterworth et al

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 28 / 35

Page 58: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

pp → ZH → ννbb, @14TeV, mH=115GeV

Herwig 6.510 + Jimmy 4.31 + FastJet 2.3

Rfilt = 0.3: take 3 hardest, m = 117 GeV

Butterworth, Davison, Rubin & GPS ’08

also earlier work by Seymour; Butterworth et al

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 28 / 35

Page 59: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

ATLAS and CMS H → bb are high-pt, but 2-jet based

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 29 / 35

Page 60: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

Some taggers and jet-substructure observables

Jet Declustering

Jet Shapes

Matrix−Element

Seymour93

YSplitter

Mass−Drop+Filter

JHTopTagger TW

CMSTopTagger

N−subjettiness (TvT)

CoM N−subjettiness (Kim)

N−jettiness

HEPTopTagger(+ dipolarity)

Trimming

Pruning

Planar Flow

Twist

ATLASTopTagger

Templates

Shower Deconstruction

Qjets

EEC

Multi−variate tagger

apologies for omitted taggers, arguable links, etc.

[NB: many of the tools available in FastJet & SpartyJet]

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 30 / 35

Page 61: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

Handles for distinguishing signal v. background

their colour (q v. g)

radiation offprongs sensitive to

z

(1−z)

boosted X

softer prong mom. fraction z

radiation off X sensitive to its colour charge

large−angle (>> 2m/pt)

g→gg(g) q→qg(g) g→bb H

→bb t→qqq

softer prong z soft soft hard hard hard

prong colour factors 2×CA CF+CA 2×CF 2×CF 3×CF

system colour factor CA CF CA 0 CF

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 31 / 35

Page 62: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

Boosted Ws and tops in single jets: data!

W’s in a single jet

with Pruning + Mass Drop requirement

NB: combined in IR unsafe way. . .

tops in a single jet

with HEPTopTagger

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 32 / 35

Page 63: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

Some BSM searches with jet-substructure techniques

A range of techniques being used for varied BSM scenarios

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 33 / 35

Page 64: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

Closing

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 34 / 35

Page 65: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

0

0.2

0.4

0.6

0.8

1fr

act

ion

of A

TL

AS

& C

MS

pa

pe

rs th

at ci

te th

em Papers commonly cited by ATLAS and CMS

as of 2012−06−28, from ’papers’, excluding self−citations

Plo

t b

y G

P S

ala

m b

ase

d o

n d

ata

fro

m A

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Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 35 / 35

Page 66: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

0

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today’s progress in QCD = tomorrow’s workhorse

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 35 / 35

Page 67: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

EXTRAS

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 36 / 35

Page 68: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

NLO bottleneck: 1-loop part

TraditionalDraw all Feynman diagrams with 1loop. Work out formulae for them.

Work hard to reduce integrals toknown forms (+ tricks).

Recursive/unitarity methodsAssemble loop-diagrams from indi-vidual tree-level diagrams.

Build trees by sticking togethersimpler tree-level diagrams

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 37 / 35

Page 69: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

NLO bottleneck: 1-loop part

TraditionalDraw all Feynman diagrams with 1loop. Work out formulae for them.

Work hard to reduce integrals toknown forms (+ tricks).

Recursive/unitarity methodsAssemble loop-diagrams from indi-vidual tree-level diagrams.

Build trees by sticking togethersimpler tree-level diagrams

Some main ideas:

Bern, Dixon & Kosower ’93[sewing together trees]

Britto, Cachazo & Feng ’04[on-shell complex loop momenta]

Ossola, Pittau & Papadopoulos ’06[handful of loop momentum choices givefull amplitude]

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 37 / 35

Page 70: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

CDF Wjj: difference wrt MC v. ratio to MC

CDF difference

Dat

a -

MC

(E

vent

s/(8

GeV

/c2 ))

Mjj [GeV/c2]

Data extracted from

CD

F plots w

ith aid of g3data

CDF lνjj data (7.3 fb-1)

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0

50

100

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0.8

0.9

1

1.1

1.2

1.3

1.4

1.5

1.6

100 200

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 38 / 35

Page 71: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

Wjj ratio to MC, DØ v. CDF

DØ ratio

Dat

a / M

C

Mjj [GeV/c2]

Data extracted from

CD

F plots w

ith aid of g3data

D0 (4.3 fb-1)MC = VV, V+j, ttbar, QCD

0.8

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1.1

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100 200

CDF ratio

Dat

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CDF lνjj data (7.3 fb-1)MC = VV, V+j, ttbar, QCD

0.8

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1.3

1.4

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100 200

Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 39 / 35

Page 72: Perturbative QCD in hadron collisions - ICTP – SAIFRSome of what goes into collider predictions event underlying π, K, p, etc. hadronisation shower u proton proton τ+ τ H u u

0

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Gavin Salam (CERN) Perturbative QCD in hadron collisions SILAFAE 2012-12-10 40 / 35


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