M. Guidal, IPN Orsay
description
Transcript of M. Guidal, IPN Orsay
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General introduction to GPDsGeneral introduction to GPDs
From data to GPDs From data to GPDs
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General introduction to GPDsGeneral introduction to GPDs
From data to GPDs From data to GPDs
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Operator inOperator inspace coordinatesspace coordinates
Structure function inStructure function inmomentum coordinatesmomentum coordinates
pyqqp )()0( O)(),( 11 xgxfep eX
pqqp )0()0(' O)(),(),(),( 21 tGtGtFtF PAep ep
pyqqp )()0(' O),,(
~),,,(
~),,,(),,,(
txEtxH
txEtxH
ep ep
DiagrammeDiagramme ProcessProcess
(restricting myself to LT-LO, chiral even, quark sector)
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H, H, E, E (x,ξ,t)~ ~
Standard Parton Distributions
H(x,0,0) = q(x), H(x,0,0) = Δq(x) ~
x
Elastic Form Factors
H(x,ξ,t)dx = F(t) ( ξ)
x
Ji’s sum rule
2Jq = x(H+E)(x,ξ,0)dx
gq LGL 21
21
(nucleon spin)
x+ξ x-ξ
tγ, π, ρ, ω…
-2ξ
: don’t appear in DIS : NEW INFORMATION
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<x ><x >00
<x ><x >-1 -1
t=0t=0
<x ><x >11
DDsDDs
« D-term »« D-term »x,bx,b
GPDsGPDs
Pion cloudPion cloudLong.mom./trans.pos. correlationsLong.mom./trans.pos. correlations
F (t), G (t)F (t), G (t)1,21,2 A,PSA,PS
q(x),q(x),q(x)q(x)
R (t),R R (t),R (t)(t)AA VVJJqq
(z)(z)
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p p’
H,E,H,E~ ~
x
t
Deconvolution needed !Deconvolution needed !x : mute variable
x
Hq(x,,t) but only and t accessible experimentally
d
d dtB
~ A H (x,,t)q
x-idx +B E (x,,t)
q
x-idx +….
1 1
-1 -1
2
= xB1-x /2B t=(p-p ’)2
x = xB !
/2
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GPD and DVCSGPD and DVCS
1
1
1
1
),,(),,(
~),,(
~ tHidxx
txHPdx
ix
txHT DVCS
Cross-section measurementand beam charge asymmetry (ReT)
integrate GPDs over x
Beam or target spin asymmetrycontain only ImT,
therefore GPDs at x = and
(at leading order:)
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General introduction to GPDsGeneral introduction to GPDs
From data to GPDs From data to GPDs
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The experimental actorsThe experimental actors
p-DVCS
BSAs,lTSAs
p-DVCS
X-sec
Hall BHall A
JLab CERNCOMPASS
Vector mesons
DVCS
p-DVCS
X-sec,BCA
p-DVCS
BSA,BCA,
tTSA,lTSA
H1/ZEUSHERMES
DESY
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In general, 8 GPD quantities accessible (Compton Form Factors)
DVCS : goldenChannelAnticipatedLeading Twist dominancealready at low Q2
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Model-independent fit, at fixed xB, t and Q2, of DVCS observables with
MINUIT + MINOS
Given the well-established LT-LO DVCS+BH amplitude
DVCS Bethe-Heitler
GPDs
7 unknowns (the CFFs), non-linear problem, strong correlations
M.G. EPJA 37 (2008) 319 M.G. & H. Moutarde, EPJA 42 (2009) 71)
M.G. PLB 689 (2010) 156 M.G. arXiv:1005.4922 [hep-ph] (acc.PLB)
Only 3 CFFs come out from the fit with finite error bars: HIm , HIm and HRe
~
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* « Shrinkage » of HIm
* HIm>HRe
As energy increases:
JLabxB=0.36,Q2=2.3
*Different t-behavior for HIm&HRe
(model dependent Fit ofD. Muller, K. KumerickiHep-ph 0904.0458
HERMES
HIm HRe
HIm HRexB=0.09,Q2=2.5
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xB dependence at fixed t of HIm
VGG prediction
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xB-dependence at fixed t
Fitting the CLAS & HERMES lTSAslTSAs:
of HIm
~
VGG predictionFit with 7 CFFs(boundaries 5xVGG CFFs)
Fit with 7 CFFs(boundaries 3xVGG CFFs)
JLabHERMES
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VGG prediction
Fit with 7 CFFs(boundaries 5xVGG CFFs)
Fit with 7 CFFs(boundaries 3xVGG CFFs)
Fit with ONLY H and H~
t-dependence at fixed xB
of HIm & HIm
~
Axial charge more concentrated than electromagnetic charge ?
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First CFFs model independent fits First CFFs model independent fits (leading-twist/leading order (leading-twist/leading order approximation); approximation); “Minimal theoretical input”“Minimal theoretical input”
Procedure tested by Procedure tested by Monte-CarloMonte-Carlo
Procedure is working on Procedure is working on real datareal data; ; extraction of extraction of HHImIm and and HHReRe at JLab at JLab (cross sections)(cross sections)
and HERMES and HERMES (asymmetries)(asymmetries) energies energies
Relatively large uncertainties on extracted CFFsRelatively large uncertainties on extracted CFFs(due to lack of observables -and precision on data-)(due to lack of observables -and precision on data-)
Introducing more theoretical input will reduceIntroducing more theoretical input will reduceuncertainties uncertainties (but model dependency)(but model dependency)
Large flow of new observables and data expected soon;Large flow of new observables and data expected soon;will bring much more experimental constraints to extractwill bring much more experimental constraints to extractCFFs with minimum theoretical inputCFFs with minimum theoretical input