Higgs and beyond at the LHCwith a little help from QCD
Gavin Salam
CERN, Princeton University & LPTHE/CNRS (Paris)
MIT Physics Colloquium6 September 2012
The LHC has been colliding protons since late 2009
The world’s largest fundamental physics endeavour
Involving O (10 000) scientists and engineersFrom about 60 countries across the worldAt a cost of several billion US dollars
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 2 / 40
The scales at play[Introduction]
The scales at play[Introduction]
tµ τneutrinos e
ud s cb
The scales at play[Introduction]
Nuc
l. P
hys.
Che
mis
try
tµ τneutrinos e
ud s cb
The scales at play[Introduction]
1 century
Nuc
l. P
hys.
Che
mis
try
Fla
v. fa
ctor
ies
Tev
atro
n
neutrinoexperiments
tµ τneutrinos e
ud s cb
The scales at play[Introduction]
1 century
Nuc
l. P
hys.
Che
mis
try
Fla
v. fa
ctor
ies
Tev
atro
n
neutrinoexperiments
LHC
tµ τneutrinos e
ud s cb
The scales at play[Introduction]
happens here...get clues as to what
The hope:
matter−antimatter asymmetry+ other questions, e.g.
nature of dark matter/energy
Nuc
l. P
hys.
Che
mis
try
Fla
v. fa
ctor
ies
Tev
atro
n
neutrinoexperiments
LHC
tµ τneutrinos e
ud s cb
The Standard Model[Higgs mechanism]
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 5 / 40
The Standard Model[Higgs mechanism]
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 5 / 40
Higgs/ABEHGHK’tH in an (oversimplified) slide[Higgs mechanism]
Among the terms in theStandard Model Lagrangian:
g2w
φ2 ZµZµ
Higgs/ABEHGHK’tH in an (oversimplified) slide[Higgs mechanism]
Among the terms in theStandard Model Lagrangian:
g2w
φ2 ZµZµ
Z-boson fields
Higgs/ABEHGHK’tH in an (oversimplified) slide[Higgs mechanism]
Among the terms in theStandard Model Lagrangian:
g2w
φ2 ZµZµ
gauge coupling Z-boson fields
Higgs/ABEHGHK’tH in an (oversimplified) slide[Higgs mechanism]
Among the terms in theStandard Model Lagrangian:
g2w
φ2 ZµZµ
gauge coupling
scalar field
Z-boson fields
Higgs/ABEHGHK’tH in an (oversimplified) slide[Higgs mechanism]
Among the terms in theStandard Model Lagrangian:
g2w
φ2 ZµZµ
gauge coupling
scalar field
Z-boson fields
0 v
V(φ)
φPotential for scalar field is
V (φ) = −µ2φ2 + λφ4
Universe lives at minimum of poten-tial, φ ≃ v . Rewrite φ in terms ofperturbations H around minimum
Higgs/ABEHGHK’tH in an (oversimplified) slide[Higgs mechanism]
Among the terms in theStandard Model Lagrangian:
g2w
φ2 ZµZµ
gauge coupling
scalar field
Z-boson fields
0 v
V(φ)
φ
Minimum of potential at
φ = v ≡√
µ2
2λ
Potential for scalar field is
V (φ) = −µ2φ2 + λφ4
Universe lives at minimum of poten-tial, φ ≃ v . Rewrite φ in terms ofperturbations H around minimum
Higgs/ABEHGHK’tH in an (oversimplified) slide[Higgs mechanism]
Among the terms in theStandard Model Lagrangian:
g2w
φ2 ZµZµ
gauge coupling
scalar field
Z-boson fields
0 v
V(φ)
φ
Minimum of potential at
φ = v ≡√
µ2
2λ
Potential for scalar field is
V (φ) = −µ2φ2 + λφ4
Universe lives at minimum of poten-tial, φ ≃ v . Rewrite φ in terms ofperturbations H around minimum
φ ≡ v +H → φ2 = v2 +2vH +H2H is the Higgs-boson field
Higgs/ABEHGHK’tH in an (oversimplified) slide[Higgs mechanism]
Among the terms in theStandard Model Lagrangian:
g2w
φ2 ZµZµ
gauge coupling
scalar field
Z-boson fields
0 v
V(φ)
φ
Minimum of potential at
φ = v ≡√
µ2
2λ
Potential for scalar field is
V (φ) = −µ2φ2 + λφ4
Universe lives at minimum of poten-tial, φ ≃ v . Rewrite φ in terms ofperturbations H around minimum
φ ≡ v +H → φ2 = v2 +2vH +H2H is the Higgs-boson field
g2wφ2ZµZ
µ → g2wv2︸ ︷︷ ︸
Z mass2
ZµZµ + 2g2w v
︸ ︷︷ ︸
HZZ coupling
HZµZµ
Mechanism generatesparticle masses
And a “Higgs” boson
A similar mechanism holds for fermions, with a Yukawa coupling yf ,yf φf f̄ → yf v f f̄
︸ ︷︷ ︸
fermion mass
+ yf H f f̄︸ ︷︷ ︸
interaction
Higgs mechanism gives massto all fundamental particles(except maybe neutrinos).
It predicts characteristic rela-tionship between their massesand their interactions with theHiggs boson.
W+
W−
H
2iM2Wv
gµν
Z
ZH
2iM2Zv
gµν
f
f_
Himfv
v ≃ 246 GeV is known as vacuum expectation value of Higgs field
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 7 / 40
Higgs Mass ↔ no-lose proposition[Higgs mechanism]
V (φ) = −µ2φ2 + λφ4 −→ MH =√2λv
quartic coupling λ unknown, so no prediction about Higgs mass
Still, strong arguments say
◮ it cannot be below 70 GeV, because λ too small — renormalisation groupevolution drives it negative and our universe is unstable
◮ if MH & 800 GeV, λ is large and we see new non-perturbative physics at∼ 1 TeV
So ideally build a collider that can discover Higgs-boson upto 800 GeV and perform WW scattering up to ≃ 1 TeV
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 8 / 40
LHC concept got serious in first half of 80’s[LHC]
From the CERN Courier in 1984:
The installation of a hadron collider inthe [27km] LEP tunnel, using supercon-ducting magnets, has always been fore-seen by ECFA and CERN as the naturallong term extension of the CERN facili-ties beyond LEP. [...]
Although the installation of such ahadron collider in the LEP tunnel mightappear still a long way off [...], it [is] anopportune moment for ECFA, in collabo-ration with CERN, to organize a ’Work-shop on the Feasibility of a Hadron Col-lider in the LEP Tunnel’ [...]
E ∝ BR
ring radius R ∼ 4×Tevatronsuperconduction magnets: B = 8 T
(2× Tevatron)
Tevatron ∼ 2∼ 2∼ 2TeV −→−→−→ LHC ∼ 14∼ 14∼ 14TeVGavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 10 / 40
Interconnection betweentwo “dipoles” (bendingmagnets) in the LHCtunnel.
Cryogenics plant: 96 000 kg of Helium circulate through the machine at 1.9K
The detectors:
To accumulate 5× 1016 collisions over a few years, theyhave to be able to handle a pp collision rate of 109Hz
[25 collisions every 25 ns]
Typically, about 100 000 000 channels to read out.[must be examined 40 000 000 times/s,
interesting events written to long-term storage ∼400–1000 times/s]
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 13 / 40
ATLAS: general purpose CMS: general purpose
ALICE: heavy-ion physics LHCb: B-physics
+ TOTEM, LHCf
HIGGSPRODUCTION CHANNELS
(always indirect, because H couples
only weakly to light quarks)
cross section ≃ 20 pb∼ 1 Higgs every 5× 109 pp collisions
[for mH = 125.5 GeV]
protonproton
gluon gluon
Higgs
top
87%
W+ W−Z Z
quarkquark
Higgs
or
7%
5%
quarkantiquark
W or Z Higgs
0.6%
gluon gluon
topanti−top
Higgs
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 15 / 40
DECAY CHANNELS[for mH = 125.5 GeV]
WW and ZZ suppressed relative to
simple coupling proportionality,
because they cannot be produced
on-shell
Best channels for detection areγγ and ZZ ∗(→ 4e, µ), becauseof excellent experimental massresolution and manageable
backgrounds
b57%
b
Z Z * 2.8%
0.01% for 4 e, µ
6%τ+ τ−
0.2%
photonphoton
top
photonphotonW
W W
22%W W*
1% for 2 e, µ + 2ν
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 16 / 40
γγ pair invariant mass distribution[Higgs searches]
100 110 120 130 140 150 160
Eve
nts
/ 2 G
eV
500
1000
1500
2000
2500
3000
3500 ATLAS
γγ→H
Data
Sig+Bkg Fit
Bkg (4th order polynomial)
-1Ldt=4.8fb∫=7 TeV, s-1Ldt=5.9fb∫=8 TeV, s
(a)
=126.5 GeV)H
(m
100 110 120 130 140 150 160
Eve
nts
- B
kg
-200-100
0100200
(b)
100 110 120 130 140 150 160
wei
ghts
/ 2
GeV
Σ
20
40
60
80
100Data S/B Weighted
Sig+Bkg Fit
Bkg (4th order polynomial)
=126.5 GeV)H
(m
(c)
[GeV]γγm100 110 120 130 140 150 160
w
eigh
ts -
Bkg
Σ -8-4048
(d)
(GeV)γγm110 120 130 140 150S
/(S
+B
) W
eig
hte
d E
ve
nts
/ 1
.5 G
eV
0
500
1000
1500
Data
S+B Fit
B Fit Component
σ1±
σ2±
-1 = 8 TeV, L = 5.3 fbs
-1 = 7 TeV, L = 5.1 fbsCMS
(GeV)γγm120 130
Eve
nts
/ 1
.5 G
eV
1000
1500
Unweighted
ZZ ∗ (4-lepton) invariant mass distribution[Higgs searches]
[GeV]4lm100 150 200 250
Eve
nts/
5 G
eV
0
5
10
15
20
25
-1Ldt = 4.8 fb∫ = 7 TeV: s-1Ldt = 5.8 fb∫ = 8 TeV: s
4l→(*)ZZ→H
Data(*)Background ZZ
tBackground Z+jets, t
=125 GeV)H
Signal (m
Syst.Unc.
ATLAS
✹
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✁
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✽
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✶✁
✶✂
✶✄❉☎✆☎
❩✝✞
✯✟ ❩❩✤❩
❂✠✡☛ ☞✌✍❍♠
❈✎❙✲✏✥ ✑ ✒❡✓✱ ▲ ✥ ✺✔✸ ❢✕s✲✏✥ ✖ ✒❡✓✱ ▲ ✥ ✺✔✗ ❢✕s
✘✙✚✛✜✢✣✦✧★ ✦✢★ ✦✩★
❊✪✫✬✭✮✰✳✴✫✵
✷
✻
✼
✾
✿
❀
❁ ❃ ✷❄❀❅❑
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 18 / 40
Significance of the “bumps”?[Higgs searches]
p0 value = probability background fluctuated to produce observed “bumps”.
[GeV]Hm110 115 120 125 130 135 140 145 150
0L
oca
l p
-1110
-1010
-910
-810
-710
-610
-510
-410
-310
-210
-110
1
Obs. Exp.
σ1 ±-1Ldt = 5.8-5.9 fb∫ = 8 TeV: s-1Ldt = 4.6-4.8 fb∫ = 7 TeV: s
ATLAS 2011 - 2012
σ0σ1σ2
σ3
σ4
σ5
σ6
(GeV)Hm116 118 120 122 124 126 128 130
Local p-v
alu
e-1210
-1110
-1010
-910
-810
-710
-610
-510
-410
-310
-210
-110
11
2
3
4
5
6
7
Combined obs.
Expected for SM H
= 7 TeVs
= 8 TeVs
CMS-1
= 8 TeV, L = 5.3 fbs-1
= 7 TeV, L = 5.1 fbs
ZZ✣ + H ✢✢✣ H
≥ 5σ≥ 5σ≥ 5σ: OBSERVATION OF A NEW PARTICLEBY BOTH ATLAS AND CMS!
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 20 / 40
Properties of this new “Higgs-like” particle[Higgs searches]
◮ decay to γγ indicates either spin 0 or 2data by end of year should pin down spin and parity
◮ Mass: ATLAS: 126.0± 0.4± 0.4 GeVCMS: 125.3± 0.4± 0.5 GeV
◮ Couplings to other SM particles (key prediction of Higgs mechanism)
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 21 / 40
Properties of this new “Higgs-like” particle[Higgs searches]
◮ decay to γγ indicates either spin 0 or 2data by end of year should pin down spin and parity
◮ Mass: ATLAS: 126.0± 0.4± 0.4 GeVCMS: 125.3± 0.4± 0.5 GeV
◮ Couplings to other SM particles (key prediction of Higgs mechanism)
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 21 / 40
Properties of this new “Higgs-like” particle[Higgs searches]
◮ decay to γγ indicates either spin 0 or 2data by end of year should pin down spin and parity
◮ Mass: ATLAS: 126.0± 0.4± 0.4 GeVCMS: 125.3± 0.4± 0.5 GeV
◮ Couplings to other SM particles (key prediction of Higgs mechanism)
)µSignal strength (
-1 0 1
Combined
4l→ (*) ZZ→H
γγ →H
νlν l→ (*) WW→H
ττ →H
bb→W,Z H
-1Ldt = 4.6 - 4.8 fb∫ = 7 TeV: s-1Ldt = 5.8 - 5.9 fb∫ = 8 TeV: s
-1Ldt = 4.8 fb∫ = 7 TeV: s-1Ldt = 5.8 fb∫ = 8 TeV: s
-1Ldt = 4.8 fb∫ = 7 TeV: s-1Ldt = 5.9 fb∫ = 8 TeV: s
-1Ldt = 4.7 fb∫ = 7 TeV: s-1Ldt = 5.8 fb∫ = 8 TeV: s
-1Ldt = 4.7 fb∫ = 7 TeV: s
-1Ldt = 4.6-4.7 fb∫ = 7 TeV: s
= 126.0 GeVHm
0.3± = 1.4 µ
ATLAS 2011 - 2012
SM/Best fit
-1 0 1 2 3
bb✣H
✢✢✣H
WW✣H
ZZ✣H
✜✜✣H
CMS-1
= 8 TeV, L = 5.3 fbs-1
= 7 TeV, L = 5.1 fbs
= 125.5 GeVH
m
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 21 / 40
Interpretations. . .[Higgs searches]
Fits to underlying couplings Stability of universe at Mplanck
Degrassi et al
Since the discovery, a slew of papers have discussed couplings,proposed new physics explanations of deviations, etc.
The forthcoming installments of data will tell us more.
Behind the scenes. . .
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 23 / 40
Oneof
theenablers
fortheLHC’ssuccess
isourunderstan
dingof
the
stronginteraction
Quantum
Chromodynamics
—QCD
0
0.2
0.4
0.6
0.8 1
fraction of ATLAS & CMS papers that cite them
Papers com
monly cited by A
TLA
S and C
MS
as of 2012−06−
28, from ’papers’, excluding self−
citations
Plot by GP Salam based on data from ATLAS, CMS and INSPIREHEP
Pythia 6.4 MCGEANT4Anti−kt jet alg.CTEQ6 PDFs
Herwig 6 MCALPGENCTEQ6.6 PDFsMSTW2008 PDFs
MC@NLOJIMMYRPP2010LO* PDFsPOWHEG (2007)
MadGraph4MC@NLO heavy−flavour
FastJetHerwig++ MCCT10 PDFsFEWZ NNLOCL(s) techniqueLHC MachineZ1 UE TunePythia 8.1PDF4LHC
QC
D
Gavin
Salam
(CERN/Prin
ceton/Paris)
Higgs@
LHC
andQCD
MIT
2012-09-06
24/40
Rough combination of ATLAS and CMS H → γγ signal strengths: they see1.6± 0.3 times the standard model expectation — a little high, but stillconsistent
The standard-model cross section for gluon-fusion Higgs production iswritten as a perturbative expansion in powers of the strong couplingconstant, with a leading-order (LO) term:
Higgs productioncross section
gluon gluon
Higgs
top
number of colliding gluon pairsper pp collision ~ 100
Higgs field vacuum expectation value
strong coupling constant ~ 0.11
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 25 / 40
If ATLAS and CMS had used the previous page’s formula they would havefound
σobservedσLO
= 5.6± 1.1
This would have been a strong sign (4σ) of physics beyond the standardmodel!
Where’s the catch? Higher orders of QCD perturbation theory:
σgg→H = σLO(1 + 11.4αs + 63α
2s + · · ·
)
= σLO (1 + 1.27 + 0.79 + · · · )≃ σLO × 3.4
NLO: Dawson ’91; Djouadi, Spira & Zerwas ’91
NNLO: Harlander & Kilgore ’02; Anastasiou & Melnikov ’02; Ravindran, Smith & van Neerven ’03
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 26 / 40
If ATLAS and CMS had used the previous page’s formula they would havefound
σobservedσLO
= 5.6± 1.1
This would have been a strong sign (4σ) of physics beyond the standardmodel!
Where’s the catch? Higher orders of QCD perturbation theory:
σgg→H = σLO(1 + 11.4αs + 63α
2s + · · ·
)
= σLO (1 + 1.27 + 0.79 + · · · )≃ σLO × 3.4
NLO: Dawson ’91; Djouadi, Spira & Zerwas ’91
NNLO: Harlander & Kilgore ’02; Anastasiou & Melnikov ’02; Ravindran, Smith & van Neerven ’03
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 26 / 40
Corrections to total σgg→H are tip of QCD iceberg
Experimental searches break analysisinto sub-channels, which can differ interms of signal process, backgrounds,resolutions, etc. Need QCD predic-tions in each sub-channel.
W+ W−
quarkquark
Higgs
gluon gluon
Higgs
top
One or richest aspects of this kind of event characterization involves jets,which help count the number of energetic quarks and gluons in an event.
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 27 / 40
Quarks & gluons? We only ever see “jets”[Jets]
q
q
Start off with quark and anti-quark, qq̄
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 28 / 40
Quarks & gluons? We only ever see “jets”[Jets]
In perturbative quantum chromody-namics (QCD), probability that aquark or gluon emits a gluon:
∼ αsdE
E
dθ
θ
Diverges for small gluon energies E
Diverges for small angles θ
θ
q
q
A quark never survives unchangedit always emits a gluon (usually low-energy, at small angles)
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 28 / 40
Quarks & gluons? We only ever see “jets”[Jets]
In perturbative quantum chromody-namics (QCD), probability that aquark or gluon emits a gluon:
∼ αsdE
E
dθ
θ
Diverges for small gluon energies E
Diverges for small angles θ
q
q
Each gluon radiates a further gluon
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 28 / 40
Quarks & gluons? We only ever see “jets”[Jets]
In perturbative quantum chromody-namics (QCD), probability that aquark or gluon emits a gluon:
∼ αsdE
E
dθ
θ
Diverges for small gluon energies E
Diverges for small angles θ
q
q
And so forth
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 28 / 40
Quarks & gluons? We only ever see “jets”[Jets]
In perturbative quantum chromody-namics (QCD), probability that aquark or gluon emits a gluon:
∼ αsdE
E
dθ
θ
Diverges for small gluon energies E
Diverges for small angles θ
q
q
And then a non-perturbative transition occurs
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 28 / 40
Quarks & gluons? We only ever see “jets”[Jets]
jet
jet
q
q
π, K, p, ...
Giving a pattern of hadrons that “remembers” the gluon branchingHadrons mostly produced at small angle wrt qq̄ directions or with low energy
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 28 / 40
Jets made systematic: jet definitions[Jets]
jet 1 jet 2
LO partons
Jet Def n
jet 1 jet 2
Jet Def n
NLO partons
jet 1 jet 2
Jet Def n
parton shower
jet 1 jet 2
Jet Def n
hadron level
π π
K
p φ
LHC events may be discussed in terms of quarks, quarks+gluon, or hadrons
A jet definition provides common representation of different “levels” ofevent complexity.
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 29 / 40
A $100 000 000, 20-year old problem[Jets]
QCD theorists have spent the past 10–15 years making accuratecalculations of signals and backgrounds at the LHC, many of them with jets(with remarkable advances in field theory on the way)
O (100) people × 10 years ≃ $100 000 000
Problem 1: the jet definitions originally foreseen by LHC experiments werenot compatible with these calculations — they “leaked” infinities:
σ = σLO(1 + c1 αs + c2 α
2s +∞∞∞α3s + · · ·
)
Problem 2: the jet definitions advocated by theorists since 1990’s hadbeen mostly shunned by proton-collider experiments
a) bad response to experimental noiseb) severe computational issues (1 minute/event ×1010 recorded events)
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 30 / 40
Solving the jets problem[Jets]
Discovered a link between QCD jet-finding and problemsof 2D computational geometry
Cacciari & GPS ’05
Jet clustering reduces to 2D dynamic nearest neighbour problem
time to cluster N particles reduced from N3 → N lnN (or N 32 )
Developed a theory of the interplay between jet-finding,
QCD radiation and experimental noiseCacciari, GPS & Soyez ’08
A crucial element was linearity of response
Spin-off applications for γ and lepton ID in Higgs searches
Proposed a new jet-definition based on what we’d learntanti-kt
Cacciari, GPS & Soyez ’08
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 31 / 40
Anti-kt algorithm[Jets]
simple agglomerative clustering algorithm
repeatedly cluster objects with smallest dij =∆R2ij
max(k2ti , k2tj)
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 32 / 40
Anti-kt algorithm[Jets]
simple agglomerative clustering algorithm
repeatedly cluster objects with smallest dij =∆R2ij
max(k2ti , k2tj)
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 32 / 40
Anti-kt algorithm[Jets]
simple agglomerative clustering algorithm
repeatedly cluster objects with smallest dij =∆R2ij
max(k2ti , k2tj)
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 32 / 40
Anti-kt algorithm[Jets]
simple agglomerative clustering algorithm
repeatedly cluster objects with smallest dij =∆R2ij
max(k2ti , k2tj)
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 32 / 40
Anti-kt algorithm[Jets]
simple agglomerative clustering algorithm
repeatedly cluster objects with smallest dij =∆R2ij
max(k2ti , k2tj)
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 32 / 40
Anti-kt algorithm[Jets]
simple agglomerative clustering algorithm
repeatedly cluster objects with smallest dij =∆R2ij
max(k2ti , k2tj)
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 32 / 40
Anti-kt algorithm[Jets]
simple agglomerative clustering algorithm
repeatedly cluster objects with smallest dij =∆R2ij
max(k2ti , k2tj)
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 32 / 40
Anti-kt algorithm[Jets]
simple agglomerative clustering algorithm
repeatedly cluster objects with smallest dij =∆R2ij
max(k2ti , k2tj)
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 32 / 40
Anti-kt algorithm[Jets]
simple agglomerative clustering algorithm
repeatedly cluster objects with smallest dij =∆R2ij
max(k2ti , k2tj)
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 32 / 40
Anti-kt algorithm[Jets]
simple agglomerative clustering algorithm
repeatedly cluster objects with smallest dij =∆R2ij
max(k2ti , k2tj)
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 32 / 40
Anti-kt algorithm[Jets]
simple agglomerative clustering algorithm
repeatedly cluster objects with smallest dij =∆R2ij
max(k2ti , k2tj)
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 32 / 40
Anti-kt algorithm[Jets]
simple agglomerative clustering algorithm
repeatedly cluster objects with smallest dij =∆R2ij
max(k2ti , k2tj)
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 32 / 40
Anti-kt algorithm[Jets]
simple agglomerative clustering algorithm
repeatedly cluster objects with smallest dij =∆R2ij
max(k2ti , k2tj)
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 32 / 40
Coefficient of “infinity”
10-5 10-4 10-3 10-2 10-1 1
Fraction of hard events failing IR safety test
JetClu
SearchCone
PxCone
MidPoint
Midpoint-3
Seedless [SM-pt]
Seedless [SM-MIP]
Anti-Kt, SISCone
50.1%
48.2%
16.4%
15.6%
9.3%
1.6%
0.17%
0 (none in 4x109)
Safe for perturbative QCD:No infinities
Speed
10-4
10-3
10-2
10-1
1
10
102
102 103 104 105t
[s]
N
time to cluster N particles
OLD
: KtJ
et (s
afe
for t
heor
y)
OLD
: CDF
JetCl
u (ver
y un
safe)
NEW
: Fas
tJet a
nti-k t
LHC lo-lumi LHC hi-lumi LHC Pb-Pb
∼ 1000 times faster than previouscodes
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 33 / 40
anti-kt used in nearly all jetmeasurements at the LHC
→ possible to make accuratepredictions for range of
measurements, including Higgs
allowing the experiments to pindown Higgs couplings moreaccurately in years to come
e.g.: fraction of Higgs eventsthat pass a “jet veto,” which
matters for measuring H → WW
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
cf. talk tomorrow by Pier Monni
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 34 / 40
QCD is, in part, about predicting properties of collisions
But also about devising techniques to carry out more
effective searches
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 35 / 40
H → bb̄ (57% of decays) v. hard to see[Jet substructure]
Best hope is pp → W±H (and ZH), W± → ℓ±ν, H → bb̄.
e,µ
b
νb
H
W
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 36 / 40
H → bb̄ (57% of decays) v. hard to see[Jet substructure]
Best hope is pp → W±H (and ZH), W± → ℓ±ν, H → bb̄.
pp → WH → ℓνbb̄ + bkgds
ATLAS TDR
Conclusion (ATLAS TDR):
“The extraction of a signal from H → bb̄decays in the WH channel will be verydifficult at the LHC, even under the mostoptimistic assumptions [...]”
Low efficiency, huge backgrounds, e.g. tt̄
NB: Evidence of this channel seen recently
at Tevatron, but similar difficulties
e,µ
b
νb
H
W
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 36 / 40
H → bb̄ (57% of decays) v. hard to see[Jet substructure]
Best hope is pp → W±H (and ZH), W± → ℓ±ν, H → bb̄.
pp → WH → ℓνbb̄ + bkgds
ATLAS TDR
Conclusion (ATLAS TDR):
“The extraction of a signal from H → bb̄decays in the WH channel will be verydifficult at the LHC, even under the mostoptimistic assumptions [...]”
Low efficiency, huge backgrounds, e.g. tt̄
Analysis of signal/bkgd suggests:
◮ Go to high pt (ptH , ptW > 200 GeV)◮ Lose 95% of signal, but more efficient?◮ Maybe kill tt̄ & gain clarity?
W
H
bb
e,µ ν
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 36 / 40
pp → ZH → νν̄bb̄, @14TeV, mH=115GeV[Jet substructure]
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/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 37 / 40
pp → ZH → νν̄bb̄, @14TeV, mH=115GeV[Jet substructure]
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/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 37 / 40
pp → ZH → νν̄bb̄, @14TeV, mH=115GeV[Jet substructure]
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/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 37 / 40
pp → ZH → νν̄bb̄, @14TeV, mH=115GeV[Jet substructure]
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/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 37 / 40
pp → ZH → νν̄bb̄, @14TeV, mH=115GeV[Jet substructure]
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/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 37 / 40
pp → ZH → νν̄bb̄, @14TeV, mH=115GeV[Jet substructure]
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/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 37 / 40
pp → ZH → νν̄bb̄, @14TeV, mH=115GeV[Jet substructure]
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/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 37 / 40
pp → ZH → νν̄bb̄, @14TeV, mH=115GeV[Jet substructure]
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/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 37 / 40
pp → ZH → νν̄bb̄, @14TeV, mH=115GeV[Jet substructure]
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/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 37 / 40
“substructure” techniques haveapplications in many searches,
e.g. tt̄ resonances
very active field,(including MIT group!)
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 38 / 40
An overview of some new-physics searches[Jet substructure]
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 39 / 40
LHC Outlook[Outlook]
rest of 2012
continue running at 8 TeV to reach ∼ 30 fb−1 per experiment (a factor of 3more data than used for discovery). Higgs features should emerge more clearly
2013
short proton-lead runfollowed by ∼18 month shutdown to complete LHC repairs
late 2014-
Running at 13− 14 TeVAccumulating several 100 fb−1 over a few years
Cover a large chunk of LHC’s potential to search for new physics
Beyond
LHC luminosity upgrades: factor 5-10?
Linear collider (to study Higgs in detail)?
Higher-energy LHC?Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 40 / 40
EXTRAS
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 41 / 40
Energy–frontier colliders of the past 25 years[Extras]
Collider Lab Date Collided C.o.M. Energy
Tevatron Fermilab/USA 1987 – pp̄ @ 1960 GeVSLC SLAC/USA 1989 – 1998 e+e− @ 100 GeVLEP CERN/Europe 1989 – 2000 e+e− @ 209 GeVHERA DESY/Germany 1992 – 2007 e±p @ 330 GeV
Protons are made of quarks, anti-quarks and gluons. It’s the individualquarks and gluons that collide. Only a fraction of the proton’s energy isactually available in a single quark/gluon collision.
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 42 / 40
ATLAS[Extras]
A slice of CMS[Extras]
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 44 / 40
LHC has now been operating for three years[Extras][Operation]
1995: LHC approved2000: LEP closed
2008/09: LHC beams circulated
2008/09: severe “incident”poor electrical connection, arc, catastrophic Helium release, much damage
Followed by reviews, the fixes that could be made in ∼ 1 year
2009/11: LHC starts up again, 900 GeV pp collisions2009/12: 2360 GeV pp collisions2010/03: 7000 GeV pp collisions (∼ 50 pb−1)
“reduced-energy” target for safe operation
2010/11: 2760 GeV PbPb collisions2011/03: 7 TeV pp collisions (∼ 5 fb−1)2011/11: 2760 GeV PbPb collisions2012/03: 8 TeV pp collisions (∼ 6 fb−1 published, ∼ 14 fb−1 delivered)Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 45 / 40
The challenges in reaching high energies[Extras][Operation]
Circular e+e− collider. Basic issue is synchrotron radiation
Energy loss per orbit ∼ E4
m4R
At LEP the numbers are O (10%) of the electron’s energy per orbit.
Circular pp collider
Proton mass 2000 times larger, so synchrotron radiation not a problem.The limitation is magnetic field needed to bend the protons round
B ∼ ER
Tevatron: R ∼ 1 km, Ec.o.m ∼ 2 TeV =⇒ B = 4 TeV.
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 46 / 40
The challenges in reaching high energies[Extras][Operation]
Circular e+e− collider. Basic issue is synchrotron radiation
Energy loss per orbit ∼ E4
m4R
At LEP the numbers are O (10%) of the electron’s energy per orbit.
Circular pp collider
Proton mass 2000 times larger, so synchrotron radiation not a problem.The limitation is magnetic field needed to bend the protons round
B ∼ ER
Tevatron: R ∼ 1 km, Ec.o.m ∼ 2 TeV =⇒ B = 4 TeV.
So what energy do you need?
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 46 / 40
Higgs mass and Higgs decays?[Extras][EW precision]
[GeV]HM50 100 150 200 250 300 350 400
[G
eV]
top
m
150
155
160
165
170
175
180
185
190
WAtop band for mσ1
WAtop
68%, 95%, 99% CL fit contours excl. m
LE
P 9
5% C
L
Tev
atro
n 9
5% C
L
WAtop
68%, 95%, 99% CL fit contours incl. m
68%, 95%, 99% CL fit contours incl. WA and direct Higgs searchestopm
[GeV]HM50 100 150 200 250 300 350 400
[G
eV]
top
m
150
155
160
165
170
175
180
185
190
G fitter SM
Nov 10
Likely Higgs Mass
There’s some likelihood thatthe Higgs boson will be“light”, MH ∼ 120 GeV
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 47 / 40
Higgs mass and Higgs decays?[Extras][EW precision]
[GeV]HM50 100 150 200 250 300 350 400
[G
eV]
top
m
150
155
160
165
170
175
180
185
190
WAtop band for mσ1
WAtop
68%, 95%, 99% CL fit contours excl. m
LE
P 9
5% C
L
Tev
atro
n 9
5% C
L
WAtop
68%, 95%, 99% CL fit contours incl. m
68%, 95%, 99% CL fit contours incl. WA and direct Higgs searchestopm
[GeV]HM50 100 150 200 250 300 350 400
[G
eV]
top
m
150
155
160
165
170
175
180
185
190
G fitter SM
Nov 10
Likely Higgs Mass
BR(H)
bb_
τ+τ−
cc_
gg
WW
ZZ
tt-
γγ Zγ
MH [GeV]50 100 200 500 1000
10-3
10-2
10-1
1
Higgs decayproducts v. MHMHMH
There’s some likelihood thatthe Higgs boson will be“light”, MH ∼ 120 GeV
If it is, crucial test of whetherit is the Higgs, will comefrom measuring several dif-ferent decays
Remember: Higgs couplings
intimately related to origin
of particle masses
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 47 / 40
✲�
✲✁✂✄
✁
✁✂✄
�
�✂✄
❉❍
❉❱
❉❢
❉❲
❉❩
❉t
❉❜
❉☎
❉❣
❉❩✆❲
❉☎✆❜
❉❜✆❲
✝① ✥ ✝①❙✞
✟✠✡☛①✮
▲☞✌✍✎✏✑✍✒✓✔ ✕✖✗✘✙✑✍✒✏✑✍✚✓✛ ✕✖✗✘ ✜✢✣✤✱ ✎✛✦ ✧▲★ ✩✕▲✩❙ ✙ ✧✞❙
✪✫ ✬✭✯✰
❞✳✴✳
❞✳✴✳ ✵✶☛✷✸
ICHEP 2012
Plehn & Rauch
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 49 / 40
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 50 / 40
0-jet events
[GeV]l,lm50 100 150 200
eve
nts
/6.7
Ge
V
0
10
20
30
40
50
60
70
80
90
[GeV]l,lm50 100 150 200
eve
nts
/6.7
Ge
V
0
10
20
30
40
50
60
70
80
90 =125 GeVH m data WW *γ Z/ Top VZ W+jets
CMS Preliminary = 8 TeVs
-1L = 5.10 fb
[GeV]l,lm50 100 150 200
eve
nts
/6.7
Ge
V
0
10
20
30
40
50
60
70
80
90
mainly WW ∗
background
1-jet events
[GeV]l,lm50 100 150 200
eve
nts
/6.7
Ge
V
0
5
10
15
20
25
30
35
40
[GeV]l,lm50 100 150 200
eve
nts
/6.7
Ge
V
0
5
10
15
20
25
30
35
40=125 GeVH m data
WW *γ Z/ Top VZ W+jets
CMS Preliminary = 8 TeVs
-1L = 5.10 fb
[GeV]l,lm50 100 150 200
eve
nts
/6.7
Ge
V
0
5
10
15
20
25
30
35
40
also some tt̄background
≥ 2-jet events
not usedtoo much background
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 51 / 40
How does anti-kt fare?[Extras]
[anti-kt ]
Timing v. particle multiplicity 2005
10-4
10-3
10-2
10-1
1
101
102
100 1000 10000 100000
t / s
N
KtJe
t k t
CDF M
idPoin
t (see
ds >
0 GeV
)
CDF M
idPoin
t (seed
s > 1 G
eV)
CDF J
etClu (
very u
nsafe)
3.4 GHz P4, 2 GB
R=0.7
Tevatron LHC lo-lumi LHC hi-lumi LHC Pb-Pb
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 52 / 40
How does anti-kt fare?[Extras]
[anti-kt ]
Timing v. particle multiplicity 2008
10-4
10-3
10-2
10-1
1
101
102
100 1000 10000 100000
t / s
N
KtJe
t k t
CDF M
idPoin
t (see
ds >
0 GeV
)
CDF M
idPoin
t (seed
s > 1 G
eV)
CDF J
etClu (
very u
nsafe)
FastJe
t
Seedl
ess IR
Safe C
one
(SISC
one)
Cam/Aac
hen
R=0.7
anti-k t
LHC lo-lumi LHC hi-lumi LHC Pb-Pb
k t
in critical region of N ∼ 2000− 40001000 times faster than previous attempts with similar jet algorithms
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 52 / 40
How does anti-kt fare?[Extras]
[anti-kt ]
Experimental sensitivity to noise
As good as, orbetter than allpreviousexperimentally-favouredalgorithms
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 52 / 40
How does anti-kt fare?[Extras]
[anti-kt ]
Coefficient of “infinity”
10-5 10-4 10-3 10-2 10-1 1
Fraction of hard events failing IR safety test
JetClu
SearchCone
PxCone
MidPoint
Midpoint-3
Seedless [SM-pt]
Seedless [SM-MIP]
Anti-Kt, SISCone
50.1%
48.2%
16.4%
15.6%
9.3%
1.6%
0.17%
0 (none in 4x109)
Safe for perturbative QCDpredictions:
No “leakage” of infinitiesto higher orders
Gavin Salam (CERN/Princeton/Paris) Higgs@LHC and QCD MIT 2012-09-06 52 / 40
IntroductionHiggs mechanismLHCHiggs searchesQCDJetsJet substructureOutlookExtrasOperationEW precisionfits etc.WW channelanti-kt