polarized positive polarized positive ++ and negative and negative --

muon beams muon beams

@@

to perform DVCS measurements to perform DVCS measurements for GPD study for GPD study

Nicole d’Hose, CEA-SaclayOn behalf of the COMPASS collaboration

workshop on positronsJLab 25 March 2009

exclusive single-photon productionexclusive single-photon production

μμ p p μμ p p

dd |T |TDVCSDVCS||22 + |T + |TBHBH||22 + + Interference TermInterference Term

DVCSDVCS

small t

p

p

BHBH

GPD

slow pslow p small t

At COMPASS or BH or DVCS can dominate the cross section

COMPASS : domain 10COMPASS : domain 10-2-2 < x < 10 < x < 10-1-1

JLab

CO

MP

AS

S

HE

RM

ES

ZEUSH1

Limit due to luminosity ?

Limit due to acceptance

BHdominance

|t |<1 GeV2

xB=0.05

xB=0.1xB=0.2

Q2=2Q2=2

Q2=2

Q2=4

Q2=4

Q2=4

DVCS dominatesDVCS dominatesBH important

|t |<1 GeV2

|t |<1 GeV2

|t |<1 GeV2

|t |<1 GeV2|t |<1 GeV2

DVCS /2BH/10

DVCS /2BH/10

Comparison BH and DVCS at 160 GeVComparison BH and DVCS at 160 GeV

dσ(μpμp) = dσBH + dσDVCSunpol

+ Pμ dσDVCSpol

+ eμ aBH Re ADVCS + eμ Pμ aBH Im ADVCS

Twist-3 M01

DVCS + BH with DVCS + BH with ++ andand -- beambeam and unpolarized and unpolarized targettarget

Twist-2 M11 Twist-2 gluon M-11>>

θμ’μ

*

p

μ

pμ

pBH calculableDVCS

+

Belitsky,Müller,Kirchner

DVCSBH Aa e )coscoscos()()(

323210

213

6IntIntIntInt cccc

PtPxye

)sin( DVCSDVCSpol

sQy

ed

122

6

= 2Pμ

+ 2eμ

Bea

m

Char

ge

& s

pin

diff

eren

ce

DU,CS

dσ(μpμp) = dσBH + dσDVCSunpol

+ Pμ dσDVCSpol

+ eμ aBH Re ADVCS + eμ Pμ aBH Im ADVCS

Twist-3 M01

DVCS + BH with DVCS + BH with ++ andand -- beambeam and unpolarized and unpolarized targettarget

Twist-2 M11 Twist-2 gluon M-11>>

φφ

θμ’μ

*

p

μ

pμ

pBH calculableDVCS

+

Belitsky,Müller,Kirchner

DVCSBH Aa e )coscoscos()()(

323210

213

6IntIntIntInt cccc

PtPxye

)sin( DVCSDVCSpol

sQy

ed

122

6

= 2Pμ

+ 2eμ

This is the good way to get rid of the large BH contribution if we are able to control the + and - fluxes and efficiencies we can extract c0

Int and c1Int

Bea

m

Char

ge

& s

pin

diff

eren

ce

DU,CS

dσ(μpμp) = dσBH + dσDVCSunpol

+ Pμ dσDVCSpol

+ eμ aBH Re ADVCS + eμ Pμ aBH Im ADVCS

Twist-3 M01Twist-2 M11 Twist-2 gluon M-11>>

φ

θμ’μ

*

p

μ

pμ

pBH calculableDVCS

+

Belitsky,Müller,Kirchner

)coscos()()(

),,(

2

21021

2BHBHBHBBH cCc

PP

tQxd

)sinsin()()(

221

213

6IntInt ss

PtPxye

)coscos( 221022

6DVCSDVCSDVCSDVCS

unpolcCc

Qye

d

= 2

+ 2

+ 2 eμ Pμ

Bea

m

Char

ge

& s

pin

s

um

SU,CS

DVCS + BH with DVCS + BH with ++ andand -- beambeam and unpolarized and unpolarized targettarget

dσ(μpμp) = dσBH + dσDVCSunpol

+ Pμ dσDVCSpol

+ eμ aBH Re ADVCS + eμ Pμ aBH Im ADVCS

Twist-3 M01Twist-2 M11 Twist-2 gluon M-11>>

φφ

θμ’μ

*

p

μ

pμ

pBH calculableDVCS

+

Belitsky,Müller,Kirchner

)coscos()()(

),,(

2

21021

2BHBHBHBBH cCc

PP

tQxd

)sinsin()()(

221

213

6IntInt ss

PtPxye

)coscos( 221022

6DVCSDVCSDVCSDVCS

unpolcCc

Qye

d

= 2

+ 2

+ 2 eμ Pμ

After integration over φ in all the acceptance and subtraction of BH contrib. contribution we can get DVCS contribution only, C0

DVCS

Bea

m

Char

ge

& s

pin

s

um

SU,CS

DVCS + BH with DVCS + BH with ++ andand -- beambeam and unpolarized and unpolarized targettarget

Using DU,CS / SU,CS : Beam Charge and Spin Asymmetry

Comparison to different models from VGG

statistical errorsstill under debate

H(x,0,t) = q(x) e t

<b

2>

= q(x) / x α’ t

<b2> = α’ ln 1/x

(α’~0.1)

H(x,ξ,t) ~ q(x) F(t)

New predictions from Dieter MuellerNew predictions from Dieter Mueller

BC&SADieter Mueller uses a Global Fita Global Fit

on H1/ZEUS, HERMES, CLAS

and JLab Hall A

and no JLab Hall A

Using SU,CS : dDVCS / dt ~ exp(Bt)

Projections for the t-slope measurement at COMPASS

αα’’ =0. =0.125 GeV125 GeV-2-2

b0 =5.83 0.5 GeV-2

x0=0.0012 (Q2=8,W=82)1<Q2<8

B(x) = b0 + 2 αα’’ ln(x0/x)

for valence quark αα’’ ~ 1 GeV-2 to reproduce FF meson Regge traj.

for gluon αα’’ ~ 0.164 GeV-2 (J/ at Q2=0)

αα’’ ~ 0.02 GeV-2 (J/ at Q2=2-80 GeV2)

<< αα’’ ~ 0.25 GeV-2

for soft Pomeron

FFS modelAdapted by Sandacz

Still many open questions on FoM and Still many open questions on FoM and Systematic Systematic effects:effects:

Efficiency to reject background that simulates exclusive μp μ’p events

Final accuracy of the + and - fluxes and detection efficiencies

to combine both + and - measurements for DU,CS

Final accuracy on the procedure to subtract the known BH contribution

correctly renormalized to the measured yield for SU,CS

Goal of a DVCS pilot run in 2009:Goal of a DVCS pilot run in 2009:

- do an absolute measurement of BH (dominant at small x) FoM + - record and identify a few DVCS events very important for - collect μp μ’X or μ’ + (-) (°) X

μp μ p (°) ()

In 2008In 2008 with 1.5 days of beam of low intensity done in a rush before the shut down (LHC accident)

we have observed ~100 Single Eclusive photons

identified to BH due to their distribution in

analysis to be released tomorrow

bins for BH with minimal DVCS contaminationbins for BH with minimal DVCS contamination to study the phi dependence to study the phi dependence to determine the FoMto determine the FoM

1<Q2<2 0.005<x<0.01 300 BH (5 DVCS + int.) 6 % 6 % 2<Q2<4 0.01<x<0.02 121 BH (3 DVCS + int.) 9 % 9 %

in 7 days accuracy on BHin 7 days accuracy on BH

in 2009in 2009 absolute measurement of BH at small xabsolute measurement of BH at small x

* μ’μ

*

p

Characteristic feature of the -dependenceof BH and DVCS

first insight for DVCSfirst insight for DVCS

Experimental determination of the DVCS yield to control the credibility of estimation

in 2009in 2009

15

Perform accurate control of: - the + and - fluxes - the halos flux - the detection efficiencies

collect with collect with μμ+ and + and μμ- - inclusive, semi-inclusive, semi-inclusive inclusive and exclusive events:and exclusive events:

μμp p μμ’X ’X or or μμ’ ’ + (+ (-) (-) (°) X °) X or or μμ’’ p p ( (°) (°) ())

roadmaproadmap

- ’’Letter of Intent’’ CERN-SPSC-2009-003 a complete proposal for june 2009

- Demonstrate the feasibility of such an experiement

- 1rst phase in ~2011/12 DVCS with unpolarised proton target

- 2nd phase in ~2013/14 DVCS with polarised proton target

new equipments needed

d /dt impact parameter b

Proposal to study ‘’GPDs @ COMPASS’’ in 2 phases

Phase 1: DVCS experiment in ~2011/12 to constrain GPD H

with +, - beam + unpolarized long LH2 (proton) target + recoil detector + ECAL1,2 (possibly 0) + all COMPASS equipment

Phase 2: DVCS experiment in ~2013/14 to constrain GPD E

with + and transversely polarized NH3 (proton) target + recoil detector + ECAL1,2 (possibly 0) + all COMPASS equipment

d( +, ) + d( -, ) Im(F1 H) sin d( +, ) - d( -, ) Re(F1 H) cos

d(, S) - d(, S+π) Im(F2 H – F1 E) sin (- S) cos