contalbrigo marco infn ferrara partons in nucleons and nuclei september 30, 2011 marrakech
TRANSCRIPT
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Contalbrigo Marco INFN Ferrara
Partons in Nucleons and Nuclei September 30, 2011 Marrakech
OVERVIEW OF TMD MEASUREMENTS
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PDFs fpu(x),…
TMD PDFs: fpu(x,kT),…
d 2kT x=
0,t=0
Wpq(x,kT,r) “Mother” Wigner distributions
d3 r d 2k
T
Exclusive MeasurementsMomentum transfer to targetDirect info about spatial distribution
Semi-inclusive measurementsMomentum transfer to quarkDirect info about momentum distribution
(FT)
GPDs: Hpu(x,x,t), …
Quantum phase-space distributions of quarks
pT< 2 GeV/c
√s = 20 GeV
xF
AN
May solveproton spin puzzle
May explain SSA & Lam-Tung
Probability to find a quark q in a nucleon P with a certain polarization in a position r & momentum k
2 PANIN 11, 30th September 2011, MarrakechContalbrigo M.
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N/q U L T
U
L
T
Leading Twist TMDsquark polarisation
nu
cleo
n
po
lari
sat
ion
Interference between wave functions with different angular momenta: contains information about parton orbital angular motion and spin-orbit effects
Testing QCD at the amplitude level
Off-diagonal elements:
T1f
Sivers
Survives transverse momentum integration (missing leading-twist collinear piece)
Differs from helicity due to relativistic effects and no mix with gluons in the spin-1/2 nucleon
Transversity:
Worm-gear
3Contalbrigo M.
Transversity1h
PANIN 11, 30th September 2011, Marrakech
N/q U L T
U
L
T
quark polarisation
nu
cleo
n
po
lari
sat
ion
Unpolarized Collins
1h
Boer-Mulders
L1h
Worm-gear
T1h
Pretzelosity
1g
Helicity
1fNumber
T-odd elements:
Strict prediction from TMDs + QCD !
sign change between DY and SIDIS
• universality of TMDs
Number density and helicity:
Focusing here in transverse momentum dependence
Density
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Physics reactions
DF
FF
4Contalbrigo M. PANIN 11, 30th September 2011, Marrakech
SIDIS
e+e-
DY
pp
DF
FF
FFDF
FF
DF DF
DF
FF
SIDIS: rich phenomenology, the most explored so far
e+e-: B-factories as powerful fragmentation laboratories
DY: challenging for experiments (only unpolarized so far)
Hadron reactions: challenging for theory (ISI + FSI)
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N/q U L T
U
L
T
The SIDIS casequark polarisation
nu
cleo
n
po
lari
sat
ion
1fNumber
1g
Helicity
T1f
Sivers
1h
Boer-Mulders
L1h
Density
Worm-gear
Worm-gear
5Contalbrigo M.
T1h
Transversity1h
Pretzelosity
SIDIS cross section(transversely polarized target):
PANIN 11, 30th September 2011, Marrakech
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N/q U L T
U
L
T
The SIDIS casequark polarisation
nu
cleo
n
po
lari
sat
ion
1fNumber
1g
Helicity
T1f
Sivers
1h
Boer-Mulders
L1h
Density
Worm-gear
Worm-gear
DF
FF
6Contalbrigo M.
T1h
Transversity1h
DF FF
Pretzelosity
SIDIS cross section(transversely pol. target):
PANIN 11, 30th September 2011, Marrakech
Involved phenomenology due to theconvolution over transverse momentum
TMD factorization for PT<<Q
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7Contalbrigo M. PANIN 11, 30th September 2011, Marrakech
First evidences
A. Airapetian et al, Phys. Rev. Lett. 94 (2005) 012002
Non-zero transversity !! Non-zero Collins function !!
SIDIS:ep e’hX
Non-zero Sivers function !!
2005: First evidence from HERMES measuring SIDIS on proton
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NUMBER DENSITY& HELICITY
(THE BASELINE)
N/q U L T
U
L
Tnu
cleo
n
po
lari
sat
ion
1fNumber
T1f
Sivers
1h
Boer-Mulders
L1h
Density
Worm-gear
Worm-gearT1h
Transversity1h
Pretzelosity
1g
Helicity
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9Contalbrigo M. PANIN 11, 30th September 2011, Marrakech
The hadron multiplicities
Reflects different flavor contentCorrelated systematics cancels
Proton-deuteron asymmetry:LO interpretation:
SIDIS data constrain fragmentation at low c.m. energy and bring enhanced flavor sensitivity
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Disentanglement of z and : access to the transverse intrinsic quark kT and fragmentation pT,
i.e. from gaussian anstaz
10Contalbrigo M. PANIN 11, 30th September 2011, Marrakech
The Ph -unintegrated multiplicities
TPh
TPh2
TPh2TPh
2
TPh
arXiv: 0709.3020
arXiv: 1008.5125
Joosten, DIS 2011
Hall C - JLab
T
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11Contalbrigo M. PANIN 11, 30th September 2011, Marrakech
The evolution
Drell-Yan
z ~ 0.5
SIDIS
arXiv: 1003.2190 arXiv: 1101.5057
Is pT independent of z ? arXiv: 1008.5125
Gaussian ansatz
f1u
Indirect indication of a kT and pT broadening with c.m. energy:
TMD Q2 evolution
f1u
New !
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12Contalbrigo M. PANIN 11, 30th September 2011, Marrakech
The ALL Asymmetry
Hint of different transverse momentum widths for helicity vs number density
TPh arXiv: 1003.4549
CLAS
HERMES
COMPASSarXiv: 1007.1562
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TRANSVERSITY
(THE COLLINEAR MISSING PIECE)
N/q U L T
U
L
Tnu
cleo
n
po
lari
sat
ion
1fNumber
1g
Helicity
T1f
Sivers
1h
Boer-Mulders
L1h
Density
Worm-gear
Worm-gearT1h
Transversity1h
Pretzelosity
+ -
-+
Chirally-odd
First evidence: 2005
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14Contalbrigo M. PANIN 11, 30th September 2011, Marrakech
The Collins fragmentationCorrelation between quark polarization and observed hadron transverse momentum
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The Collins fragmentation
15Contalbrigo M. PANIN 11, 30th September 2011, Marrakech
Different from zero signal!
At low z little memory of the struck quark
At low thrust spherical events and gluon emission
New !
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The Collins SIDIS amplitude
16Contalbrigo M.
HERMES p
PANIN 11, 30th September 2011, Marrakech
Opposite sign for pions reveals Collins features
Consistent non-zero signals for charged pions
New !
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xh1(
x)
Transversity signals
18Contalbrigo M.
hXlld '
hXllp '
Xhhee 21
First extraction of Transversity!
Anselmino et al. Phys. Rev. D 75 (2007)
- Existing data limited to x < 0.3- Gaussian ansatz - Evolution from high energy colliders
Soffer bound
xh1(
x)d
xh1(
x)u
xh1(
x, k
)T
uxh
1(x,
k
)T
d
PANIN 11, 30th September 2011, Marrakech
Tensor charge
M. Anselmino et al hep-ph:0812.4366
M. Wakamatsu hep-ph:0811.4196
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Two hadron asymmetries
19Contalbrigo M. PANIN 11, 30th September 2011, Marrakech
NEW !!
Issue with unknown pp-terms in partial wave expansion
- Survives Ph integration
- Collinear factorization (simple product)- DGLAP volution - Universality
New !
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Transversity signals
20Contalbrigo M. PANIN 11, 30th September 2011, Marrakech
Bacchetta et al., PRL 107 (11)
1st collinear extraction !
NEW !!
arXiv: 1104.2425
q1
quark spine+
q2
quark spin
( )
z2 z1
φR1φR2
( ) e-
Different from zero correlations !
New !
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Transversity signals
21Contalbrigo M. PANIN 11, 30th September 2011, Marrakech
No significant asymmetries seen in
pp reactions at mid-rapidity.
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SIVERS
(THE TMD CHALLENGE)
N/q U L T
U
L
Tnu
cleo
n
po
lari
sat
ion
1fNumber
1g
Helicity
T1f
Sivers
1h
Boer-Mulders
L1h
Density
Worm-gear
Worm-gearT1h
Transversity1h
Pretzelosity
Naïve-T-oddNon-trivial gauge link
Process dependence+ -
++
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h+
h-
COMPASS p
The Sivers signals
23Contalbrigo M.
HERMES p
Non zero ! for positive hadrons on proton
Flavor tagging: K+ signals larger than p+
No signal on deuteron target
PANIN 11, 30th September 2011, Marrakech
x z TPh (GeV/c)
Jlab Hall-A n New !
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The Sivers signals
24Contalbrigo M. PANIN 11, 30th September 2011, Marrakech
COMPASSHERMES
HERMES vs COMPASScomparison:are data consistent ?
New !
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The Sivers challenges
25Contalbrigo M.
Coverage at large pT and relation with twist-3 collinear approach
Sivers effect from SIDIS to Drell-Yan:
Sign change as a crucial test of TMDs factorization
arXiv: 0901.3078
Sivers effect from SIDIS to pp:
A possible candidate to explain SSA
PANIN 11, 30th September 2011, Marrakech
arXiv: 1107.4446
x
Sivers from SIDIS and collinear twist-3as candidates forSSA explanation
arXiv: 0801.2990
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The inclusive hadron SSA
26Contalbrigo M. PANIN 11, 30th September 2011, Marrakech
Sign mismatch between SIDIS and pp SSA ?
arXiv: 1103.1591
T3 correlator from pp Sivers moment from SIDIS
Sivers effect from SIDIS to pp:
ANL s=4.9 GeV
BNL s=6.6 GeV
FNAL s=19.4 GeV
RHIC s=62.4 GeV
ANL s=4.9 GeV
BNL s=6.6 GeV
FNAL s=19.4 GeV
RHIC s=62.4 GeV
Persistent with energy
Asymptotic 1/pT not reachedIssues on factorizationarXiv: 0801.2990
New !
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Inclusive hadron SSA in SIDIS
27Contalbrigo M. PANIN 11, 30th September 2011, Marrakech
AUT is vanishing at low pT
Q2 increases with pT
approaching DIS regime
Study transition from perturbative to non-perturbative regime
Non-zero signals for positive hadrons resembling Sivers
Sivers modulation sin(f-fS) can survives as sin(f)
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CAHN & BOER-MULDERS
(THE NEGLECTED EFFECTS)
N/q U L T
U
L
Tnu
cleo
n
po
lari
sat
ion
1fNumber
1g
Helicity
T1f
Sivers
1h
Boer-Mulders
L1h
Density
Worm-gear
Worm-gearT1h
Transversity1h
Pretzelosity
Naïve-T-oddChirally-odd
Spin effect in unpolarized reactions
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29Contalbrigo M. PANIN 11, 30th September 2011, Marrakech
The Lam-Tung relation
NA10
E866
E615
Preserved by NLO and resummationAnalogous of SIDIS Callan-Gross
NA10 (pp) E615 (pp)
140 GeV 194 GeV 286 GeV
E866 (pp, pD)
qq hh 11Boer-Mulders offers a possible explanation
pT (GeV)pT (GeV)
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EMC (1987)
30Contalbrigo M. PANIN 11, 30th September 2011, Marrakech
The azimuthal modulation
Kinematical effect redicted since 1978 by Cahn due to non-zero intrinsic kT
Non perturbative contribution
PT (GeV/c)
• No hadron identification
• No charge separation• Poor statistics for
cos2f
Till 2008: qualitative agreement with Cahn expectations
Leading-twist contribution introducedby Boer & Mulders in 1998
Boer & Mulders PRD 57 (1998)
Cahn PLB 78 (1978)
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31Contalbrigo M. PANIN 11, 30th September 2011, Marrakech
Non-zero !
Issue on DATA consistency
The SIDIS cos2f dependence
Can be explained bylarge uncertainty on Cahnand neglected HT effects
arXiv: 0912.5194
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32Contalbrigo M. PANIN 11, 30th September 2011, Marrakech
The SIDIS cosf dependenceSignificant difference in hadroncharge might signal
Much larger expectations but largely sensitive on <kT> and kT cutoff
Large and negative increasing with z and Ph
arXiv: 1106.6177
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Summary
33Contalbrigo M.
TMDs describe a new class of phenomena providing novel insights into the rich nuclear structure
Full coverage of valence region not achieved
Limited knowledge on transverse momentum dependences
Role of the higher twist to be quantified
Evolution properties to be defined
Flavor decomposition to be refined
Universality Fundamental test of QCD
SIDIS and e+e- experiments provide evidence of non-zero TMDs
First generation experiments provide promises but also open questions
PANIN 11, 30th September 2011, Marrakech
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34Contalbrigo M. PANIN 11, 30th September 2011, Marrakech
The TMDs Landascape
A very active field to explore for various upcoming experiments !
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┴ ┴
┴
┴
┴
Distribution Functions (DF)
SIVERS Quark orbital angular momentum
BOER-MULDERS Spin orbit effect
3-momentum sp
ace
Impact
parameter space
anti-green remnant
green quark
GPD E GPD ET+2HT
~Deformations by
i.e. Sivers: spin-orbit correlations with same matrix element of anomalus magnetic moment, and GPD E
35 PANIN 11, 30th September 2011, MarrakechContalbrigo M.
The 3D description of the nucleon
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36Contalbrigo M. PANIN 11, 30th September 2011, Marrakech
The hadron multiplicities
Seek for flavor dependences
Nuclear effects shouldbe taken into account for not pure targets
Hermes, arXiv: 1107.3496
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37Contalbrigo M. PANIN 11, 30th September 2011, Marrakech
Asymmetry expected to go As sin2(q)/(1+cos2(q))
The Collins fragmentationAt low thrust spherical events and gluon emission
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PRETZELOSITY
(THE D-WAVE)
N/q U L T
U
L
Tnu
cleo
n
po
lari
sat
ion
1fNumber
1g
Helicity
T1f
Sivers
1h
Boer-Mulders
L1h
Density
Worm-gear
Worm-gear
Transversity1h
T1h
Pretzelosity
Sensitive to the D-wave component and the non spherical shape of the nucleon
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The Pretzelosity
39Contalbrigo M.
Statistical power of existing data is not enough to observe significant signals
h+ deuteron
arXiv: 0812.3246
PANIN 11, 30th September 2011, Marrakech
h+ deuteron
Avakian, PRD78
h- deuteron
Covariant model
Positivity bound
COMPASS pHERMES p
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WORM GEAR
(THE STANDARD OAM EFFECT)
N/q U L T
U
L
Tnu
cleo
n
po
lari
sat
ion
1fNumber
1g
Helicity
T1f
Sivers
1h
Boer-MuldersDensity
Worm-gearT1h
Transversity1h
Pretzelosity
L1h
Worm-gearThe only T-even and chirally-evenoff-diagonal TMD
Proton wave-components withdifferent OAM
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41Contalbrigo M. PANIN 11, 30th September 2011, Marrakech
The AUL Asymmetry
Unexpected pattern needsmore statistics to be verified
arXiv: 1003.4549
arXiv: 1007.1562
COMPASS
Deuteron
Proton
arXiv: 0902.0689
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The ALT Asymmetry
Worm-gear function: longitudinally polarized quarks in a transversely polarized nucleon
42Contalbrigo M.
Statistics not enough to investigate relationssupported by many theoretical models:
(supported by Lattice QCD and first data)
(Wandura-Wilczek type approximation)
From constituent quark model: arXiv: 0903.1271
PANIN 11, 30th September 2011, Marrakech
Jlab Hall-A n
COMPASS pHERMES p
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Higher-twist effects
43Contalbrigo M. PANIN 11, 30th September 2011, Marrakech
Non zero up to the COMPASSenergies