future studies of transverse momentum dependent (tmd) functions

Future studies of Future studies of Transverse Momentum Transverse Momentum

Dependent (TMD) functionsDependent (TMD) functions

Delia Hasch

Symmetry and Spin 2005 Advanced Studies Institute, Praha (CZ), Jul 27-Aug

03

δq q q

objectobject

nxxxx T1

55LTw2Corr Sγγ)(qγ)(qS)(q

2

1)(

add kT dependent DF :

transversity

___ Delia Hasch______ Future TMD measurements _____________ Symmetry and Spin 2005 _______ Praha (CZ), 01-08-05

Sivers

Boehr

Mulders

new class of FF

more functions @twist-3 …manifest in azimuthal/SSA/ l-r asymmetries

observablesobservables

pp eesidis

DY, ATT incl. jets

Xhpp

leftright

AN

jet correlations,

…

X(h)hepl

AUT(±S),

AUL(), ALU()AUU(), …production, VM, …

, ALT(±S)

DF FF

e-

e+

Collins FFIFFunpol FF

___ Delia Hasch______ Future TMD measurements _____________ Symmetry and Spin 2005 _______ Praha (CZ), 01-08-05

ALT

beam target

observables observables experimentsexperiments

pp eesidis

@6GeV

(very) far future PAX@GSI JLab@12GeV EIC

future TMD pp sidis ee

measurements RHIC PAX HERMES COMPASS JLab EIC BELLE

summary

@RHIC:

@DESY

@CERN

@KEK



summary

higher twist

Sivers effect

Collins effect

contributions:

TMDs @RHIC TMDs @RHIC

Xhpp

leftright

Fermilab E704: √s ~20 GeV



summary


Xhpp

leftright

Fermilab E704: √s ~20 GeV RHIC: √s ~200 GeV



summary


Xhpp

leftright

Fermilab E704: √s ~20 GeV RHIC: √s ~200 GeV

map kinematic dependencies xF, PT

hadron ID: 0, K, p

with current data set till 2005 (<Pb>~0.45):

new observables to disentangle

different mechanism:

AT with 32pb-1

future:future: TMDs @RHIC TMDs @RHIC

2 1 jetjetpp azimuthal back to back correlation betweenhadrons in opposite hemisphere jets:

clean channel for Sivers effect

analysis of jet structure:

isolate Collins effect 2hadron interference

Xjet)(ππpp

ll pp DY, inclusive jets:

direct access to h1

30-100 pb-1

Pb ≥ 0.5

1-30 pb-1

Pb = 0.5

0.1-1 fb-1

Pb ≥ 0.7

silicon tracker

FMS



summary

Future:Future: Drell Yan p p Drell Yan p p @GSI @GSI

spin-transfer from polarized electrons of the target to antiprotons

)M,q(x)M,q(xe

)M,(xh)M,(xhe

adσdσ

dσdσA

22

q

21

2q

22

q1

q

21

q1

2q

TTTT

GSI: s~30-50 GeV2 =x1x2=M2/s~0.2-0.3

exploration of valence quarks (h1

q(x,Q2) large)

RHIC: =x1x2=M2/s~10-3

exploration of the sea quark ATT very small (~ 1 %)

TT

TT

a

A

T=22 GeV (s=6.7 GeV)

T=15 GeV(s=5.7 GeV)

Anselmino et al. PLB 594,97

(2004)

xF=x1-x2



summary

~2020~2020… new ideas for dedicated DY @RHIC!

X(h)heNl )()(

TMDs in SIDIS TMDs in SIDIS



summary

AUT S, ALT S,

AUL, ALU,…

in single/double hadronproduction

production, VM

@6GeV e27GeV e 160GeV

TMDs @HERMES TMDs @HERMES

Xπepe

Collins + Sivers effects disentangled !significant non-zero results



summary

0 , K on the way

weighted asymmetries under study hP

)()( 11 zHxh )()( 11 zHxh )()( 1T1 zDxf )()( 1T1 zDxf

TMDs @HERMES TMDs @HERMES

Xepe

significant non-zero result IFF non-zero!



summary

)()( 11 zHxh )()( 11 zHxh



summary

TMDs @HERMES TMDs @HERMES HERMES will run till mid 2007

data with transversely polarised target till Nov2005

~double(2002-2004) statistics by end 2005

Collins/Sivers asymmetry AUT(S) for K

2hadron asymmetry (IFF) for

till 2007: ALU() in 1 and 2 hadron production

all asymmetries compatible with zero



summary

TMDs @COMPASS TMDs @COMPASS

add 2003/2004 statistics: ~8∙(2002)

improved trigger for higher x, Q2

hadron ID with RICH

Xhd Xhhd

Collins

Sivers



summary

TMDs @COMPASSTMDs @COMPASS

two 60 cm long target-containerswith opposite polarisation

superconductive solenoid (2.5 T)

3He – 4He dilution refrigerator (T~50mK)

dipole (0.5 T)

COMPASS is foreseen to run up to the end of the present mid-term plan of CERN (2010)

2006++

2007/08 priority of hadron program

70mradpresentacceptance

180mrad


proton target in 2006: 30 days NH3

with possibly new Compass magnet



summary

TMDs @COMPASSTMDs @COMPASS

two 60 cm long target-containerswith opposite polarisation

superconductive solenoid (2.5 T)

3He – 4He dilution refrigerator (T~50mK)

dipole (0.5 T)

COMPASS is foreseen to run up to the end of the present mid-term plan of CERN (2010)

2006++

2007/08 priority of hadron program


180mrad


proton target in 2006: 30 days NH3

with possibly new Compass magnet

Collins/Sivers asymmetry AUT(S) - on d,p target- for identified hadrons

2hadron asymmetry (IFF) ~

[ ALU() in 1 and 2 hadron production, AUL() ]

, VM production



summary

TMDs @JLab TMDs @JLab (6 GeV)(6 GeV) longitudinal target/beam asymmetries from

CLAS:

AUL ALU

PRELIMINARY

IC

424 PbWO4 ……..crystals

CLAS

CLAS+IC



summary

TMDs @JLab TMDs @JLab (6 GeV)(6 GeV) longitudinal target/beam asymmetries from

CLAS:

AUL

PRELIMINARY

IC

424 PbWO4 ……..crystals

11Lsin2UL HhA

Mulders

TMDs @JLab TMDs @JLab (6 GeV )(6 GeV ) transverse target polarisation:

approved proposal @Hall-A with 3He neutron

projections for 24 days

valence region small z-range

limited acceptance



summary

TMDs @JLab TMDs @JLab (6 GeV )(6 GeV )



summary

precise data with longitudinal beam/target polarisation:

ALU(), AUL() for , 1 hadron (2hadron) prod.

upcoming: AUT on neutron

!factorisation tests !

JLab @12 GeV ~2015

fragmentationfragmentationfunctionfunction

ee++ee--

fragmentation in sidis fragmentation in sidis

f

hfff zDdxqz )()()(d h



summary

FFFF fromfrom e e++ee--

)cos(

),(),(

21

221111

mzHmzHA

e-

e+

e+

e-

h2P

h1P

)2cos()()( 2111 zHzH

e-

e+

h1P

h2P

)cos()()( 212111 zHzHA

Xee jet21jet X)π(π)π(πee jet2jet1



summary

Collins FF interference FF

FFFF fromfrom e e++ee--e-

e+

add 0: favoured/unfavoured

extension to IFF straight forward

KEK: L~150 fb-1 per year

10% off-resonant

“unlimited” running: KEK superKEK 2012++

FF measurement will be dominated by systematic uncertainties



summary

current facilities: current facilities: near+mid term near+mid term futurefuture

far future JLab @12GeV PAX @GSI

Collins/2hadron FF with high accuracy

JLAB @6GeV

and a “dream” EIC

e-

e+

first extraction of TMDs feasible



summary

dream:dream: Electron Ion Collider Electron Ion Collider



summary

have a look at unpolarised DIS

current polarised DIS experiments

EIC would be “THE ” machine for polarised physics:

q, G, q, …

eRHIC @BNL ELIC @JLabeRHIC @BNL ELIC @JLab

• 5-10 GeV polarised e/e

• 20-250 GeV polarised p, ions luminosity ~ 1∙1033cm-2s-1

linac + eRing + RHIC

• 3-7 GeV polarised e

• 30-150 GeV polarised p, ions luminosity ~8∙1034 cm-2s-1



summary

Summary Summary

TMDs

SIDIS AUT, ALT, AUL, ALU, AUU

for single and double hadrons

production, VM

HERMES, Compass,

JLab@6GeV

JLab@12GeV, EIC

ee CollinsFF , IFF BELLE

pp AN for inclusive hadrons, di-jets Sivers AT in jets: Collins FF IFF

ATT inclusive jets, DY

STAR, PHENIX, BrahmsPAX

factorisationuniversality



summary

future studies of transverse momentum dependent (tmd) functions

Documents

gev tmds

gev e s

gev future

gev pax

gev eic

gev y4s ff

e ejet production

aulpreliminarymulders