Tev4LHC @ BNL 3-5 Feb 2005

Diffraction from CDF2LHC K. Goulianos 1

Diffraction from CDF2LHC

K. GoulianosTev4LHC

3-5 February 2005Brookhaven National Laboratory

Tev4LHC @ BNL 3-5 Feb 2005

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What is Dark Energy?

* * ** * *

H He

E

M

* * ** * *

H He

E

M

Tev4LHC @ BNL 3-5 Feb 2005

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Rapidity Gaps

Gaps are exponentially suppressed

From Poisson statistics:

dydneyP y )(

(=particle density in rapidity space)

Rapidity gaps are formed bymultiplicity fluctuations.

Non-diffractive interactions

Bj, PRD 47 (1993) 101: regions of (pdeudo)rapidity devoid of particles

ε1220t M

1~dMdσΔy2εe~

Δyddσ

2lnlnln Msy

Rapidity gaps at t=0 grow with y.Diffractive interactions

pp /

2: negative particle density!

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CDF Run I results

93(2004)141601

http://physics.rockefeller.edu/dino/my.html

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valence quarksantiproton

x=

Single Diffraction

proton

)or(1)(

xxfx

g=0.20

q=0. 04

R=-0.5

g=0.5

q=0.3

SOFT HARD

deep seaDerive diffractivefrom inclusive PDFsand color factors

antiproton

valence quarks

pp

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Inclusive Single Diffraction

Unitarity problem: Using factorization and std pomeron flux SD exceeds T at Renormalization: normalize the Pomeron flux to unity

)(Mσξ)(t,fdtdξ

σd 2XpIPIP/p

SD2

KG, PLB 358 (1995) 379

TeV.2s

1dtdξξ)(t,f0.1

ξIP/p

0

tmin

2~ sSD

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A Scaling Law in Diffraction

KG&JM, PRD 59 (1999) 114017

Factorization breaksdown in favor of

M2-scaling

12

2

2 )(Ms

dMd

renormalization

1

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Elastic and Total Cross Sections

ytel etsf ),(Im

y sy ln

The exponential rise of T(y’) is dueto the increase of wee partons with y’

(see E. Levin, An Introduction to Pomerons,Preprint DESY 98-120)

yooT ess )(

y sy ln

QCD expectations

Total cross section:power law rise with energy

Elastic cross section:forward scattering amplitude

s

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Soft Diffraction

yy

yt ,2 independent variables:

yo

ytp eetFC

yddtd

22

2

)(gap probability

Renormalization removes the s-dependence SCALING

ye 2~ 22ln

minsydyssy

y

t

colorfactor 17.0

)0()(

ppIP

IPIPIP tg

(KG, hep-ph/0205141)

sub-energy x-section

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The Factors and Experimentally: KG&JM, PRD 59 (114017) 1999

g=0.20

q=0.04

R=-0.5

fg=gluon fractionfq=quark fraction

λx1f(x)x

18.03125.0

8175.0121f

11f 2

QNN c

qc

gColor factor:12.0ww qqgg Pomeron intercept:

104.0,02.017.0

pIP

IPIPIPg

λ

/sxs~dxxf

1

1)(

CTEQ5L

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Multigap Diffraction

ye 2~ 22ln

minsyssy

y

Same suppressionas for single gap!

2122

2-1i1

2

51

5

)( yyo

ytp

ii

eetFCdV

dii

Gap probability Sub-energy cross section(for regions with particles)

1y 2y1y 2y

1y 2y

1t 21 yyy 5 independent variables2t color

factors

(KG, hep-ph/0205141)

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Central and Two-Gap CDF Results

One-gap cross sections are suppressed Two-gap/one-gap ratios are 17.0

Differential shapes agree with Regge predictions

DD SDD DPE

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Gap Survival Probability

0.23GeV)(1800S gapgap/01gapgap/12

0.29GeV)(630S gapgap/01gapgap/12

S =

Results similar to predictions by:Gotsman-Levin-MaorKaidalov-Khoze-Martin-RyskinSoft color interactions

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Diffractive DIS @ HERA

),(1),,( 221

2)3(2 QQ xFxF D

e Q2*p

jet

reorganize

Factorization holds: J. Collins

e*

tp

IP

Pomeron exchange Color reorganization

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Inclusive vs Diffractive DIS

CCFQ

QQD

1212)3(

21

)()(

)(1),,(2

P(0)-1(q)/2

F2 ~ x

q

KG, “Diffraction: a New Approach,” J.Phys.G26:716-720,2000 e-Print Archive: hep-ph/0001092

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diff/incl DIS at HERA

At fixed x:flat Q2-dependence

At fixed Q2:flat x-dependence

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Diffractive Dijets @ Tevatron

),/(1),,( 2221 QQ xFxF D

pjet

reorganizep

jet

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FDJJ(,Q2) @ Tevatron

C

sx

CFQ

QQD

2122111

)/(

)(1),,()(

22

2

εε

2sβ1~

βxξ1

ξ 211

renorm sβξdξN

minmin

min

)2()(1

121

~R2

RENORM

x

QsxSD

ND

4.02.0 xg

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SD/ND Dijet Ratio vs xBj@ CDF

(x)F(x)F

R(x) NDjj

SDjj

0.035 < < 0.095

Flat dependence

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Tevatron vs HERA:Factorization Breakdown

dN/dgap dN/dgap

p

ppIP

CDF

H1

p

ppIP

e *

tp

IP

Predicted in KG, PLB 358 (1995) 379

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New: FDJJ() from ZEUS-LPS Data

Fit includingcharm dataFit withoutcharm data

ZEUS

H1

M. Arneodo, HERA/LHC workshop, CERN, 11-13 Oct 2004

Flat after subtractingReggeon contribution

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Restoring Factorization @ Tevatron

R(SD/ND)

R(DPE/SD)DSF from two/one gap:factorization restored!

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CDF2LHC TOPIC STATUS (Q2, t) dependence of DSF close to ready

Exclusive c production close to ready Low mass states in DPE need good trigger Exclusive b-bbar production in DPE need b-trigger-dependence of DSF need low lum run Jet-gap-Jet w/jets in miniplugs need low lum run

compositeΔyΔy

BFKLΔyΔyjetgap

jetgap

gapΔyjetΔy

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Diffraction @ LHC

Multigap diffraction

Exclusive production of high mass states

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Summary@CDF Derive diffractive from ND pdf’s and color factors@ LHC Multigap and High Mass Exclusive DiffractionCDF2LHC Special low-lum run needed for low- and JGJ