Polarized Fragmentation Functions Anselm Vossen Research supported - - PowerPoint PPT Presentation
CPHI-2020, CERN, February 2020 Polarized Fragmentation Functions Anselm Vossen Research supported by the Single Hadron production In SIDIS is a well travelled path Observables: z: fractional energy of the quark carried by the hadron p h,T :
Research supported by the
Parton polarization à Hadron Polarization⇣ Spin averaged longitudinal transverse spin averaged 𝐸#
$/&(𝑨, 𝑞+)
𝐼#
.$/&(𝑨, 𝑞+)
longitudinal Transverse (here L)
Observables: z: fractional energy of the quark carried by the hadron ph,T: transverse momentum of the hadron wrt the quark direction: TMD FFs
2
spin-spin correlations can have spin momentum correlations!
3
Spin-orbit correlations
4
Spacelike SIDIS Timelike SIA X X
5
Parton polarization à Hadron Polarization⇣ Spin averaged longitudinal transverse spin averaged
𝐸#
$/&(𝑨, 𝑞+)
𝑰𝟐
.𝒊/𝒓(𝒜, 𝒒𝑼) longitudinal 𝑯𝟐
𝚳/𝒓 𝒜, 𝒒𝑼
𝑰𝟐𝑴
𝒊/𝒓 𝒜, 𝒒𝑼
Transverse (here L) 𝑬𝟐𝑼
.𝚳/𝒓(𝒜, 𝒒𝑼)
𝑯𝟐𝑼
𝒊/𝒓 𝒜, 𝒒𝑼 =
𝑰𝟐
𝚳/𝐫(𝒜, 𝒒𝑼) =
𝑰𝟐𝑼
.𝚳/𝐫(𝒜, 𝒒𝑼) =
Observables: z: fractional energy of the quark carried by the hadron ph,T: transverse momentum of the hadron wrt the quark direction: TMD FFs
6
Parton polarization à Hadron Polarization⇣ Spin averaged longitudinal transverse spin averaged
𝐸#
$/&(𝑨, 𝑁)
𝑰𝟐
.𝒊/𝒓(𝒜, 𝒒𝑼M, (Ph),q) ‘Di-hadron
Collins’
longitudinal Transverse Ty Type eq equat ation he here.
G1⊥(z,M,Ph,q)=
T
àjet handedness QCD vaccum strucuture
H1∢(z,M, (Ph),q)=.
T
Colinear 7
Additional Observable: 𝑆 = 𝑄
# − 𝑄 W :
The relative momentum of the hadron pair is an additional degree of freedom: the orientation of the two hadrons w.r.t. each other and the jet direction can be an indicator of the quark transverse spin
Needs to be mapped completely!! (no information yet)
DI-HADRON FRAGMENTATION FUNCTIONS
.)
8
factories
in 𝑡 in particular at high z
includes charged single hadrons p, K, p, D, Λ, charmed baryons…
NNLO (e.g. DSS, NNFF)
z
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
) s c( × /dz σ d
tot.had.
σ 1/
1 10
2
10
3
10
4
10
5
10
6
10
7
10
8
10
9
10
10
10
11
10
12
10
13
10
+X Production
±
π →
+
World Data (Sel.) for e
)
9
10 × 3 × ALEPH 91GeV ( 1 5 ) × A R G U S 9 G e V , 1 G e V ( 3000) × CLEO 10GeV ( )
10
1 × 5 × D E L P H I 9 1 G e V ( 1 ) × R
a n e t a l . 3 G e V ( )
1 2
1 × S L D 9 1 G e V ( )
7
10 × 7 × TASSO 34GeV, 44GeV ( )
6
1 × 2 × T P C 2 9 G e V ( 0.04) × this meas., Belle 11 GeV (
+X Production
±
π →
+
World Data (Sel.) for e
9
Phys.Rev.Lett. 111 (2013) 062002 (Belle) Phys.Rev. D88 (2013) 032011 (BaBar)
NIMA479,117(2002) NIMA729,615(2013)
The future is now: Next Generation B factory SuperKEKB
Belle/KEKB recorded ~1000 fb-1 . Now have to change units on the y-axis to ab-1 “nano-beams” are the key; vertical beam size is 50nm at the IP Beam currents only a factor of two higher than KEKB (~PEPII)
Close to Belle lumi before winter shutdown ∫ 𝑀 ≈ 11 𝑔𝑐3#
11
2019: First Collisions in Phase 3, the Physics Run Clear signals for BàJ/ψ X in ~1/2 of Phase 3 data.
13
quark-1 spin quark-2 spin
z1,2 relative pion pair momenta
q2 j2 z2 p+ q1 z1 j1 p- Cross-section 𝑓2𝑓3 → ℎ#ℎW ℎ# ℎW + 𝑌 ∝ 𝐸#
. 𝐸# . + 𝐼# . 𝐼# .cos 𝜚# + 𝜚W
pairs in e+e- annihilation by Belle Collaboration @ √s ∼ 10.6 GeV (PRL 111,062002(2008), PRD 88,032011(2013)) leads to first extraction of transversity (Phys.Rev. D75 (2007) 054032 ) from SIDIS and e+e-
PRD 92,111101(R)(2015) for KK and Kπ)
𝑟 −axis)
14
BaBar
Unlike/Likesign Ratios to cancel acceptance effects Unlike: fav*fav+dis*dis Like: fav*dis
Preliminary
to charged pions
1 5
Rπ0
12 = R0± 12
RL
12
= π0π+ + π0π− π+π+ + π−π−
<latexit sha1_base64="Fmfzj0FecUk1cyEGHeimBsewYTk=">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</latexit>12 = Rη± 12
12
0.4 0.5 0.6 0.7 0.8
1
z 0.01 0.02 0.03 0.04 0.05 0.06 0.07
12 h
A
with stat. uncertainties
12 hA systematic uncertainties
12 hA
16
0.3 0.4 0.5 0.6 0.7 0.8
1
z 0.01
0.02 0.03 0.04 0.05 0.06
12
A
p 12
A
UC 12
UL 12
A
=𝐁𝟐𝟑
𝐕𝐌 − 𝑩𝟐𝟑 𝑽𝑫 (𝑱𝒕𝒑𝒕𝒒𝒋𝒐)
Preliminary
17
q1 quark-1 spin Interference effect in e+e- quark fragmentation will lead to azimuthal asymmetries in di-hadron correlation measurements! Experimental requirements: § Small asymmetries è very large data sample! § Good particle ID to high momenta. § Hermetic detector
electron positron q2 quark-2 spin
z1,2 relative pion pair momenta
z2 z1
j1 j2
18
arXiv:1104.2425 AV, RS et. al, PRL 107, 072004(2011)
a12µH1<•H1<
(2003) 094003
Kharzeev Phys.Lett. B366 (1996) 311-315 (connection to chromomagnetic effects)
hadron Collins effect in string fragmentation (a bit like worm gear functions)àInteresting to learn about spin momentum correlations in hadronization: sizable asymmetries contradicted by Belle result??
Need weighted asymmetry including dependence on PhT
19
arXiv:1505.08020 [ Dijets!
20
Sirtl 1702.07317 [COMPASS]
PDF DiFF
Momenta and Angles
Slide from C. Dilks, see talk from T. Hayward Note the sign change in 𝑁dd! What does this mean in terms of the underlying processes? Looks more ‘Jaffe et al’ like?
F
x
10
10
10
10 1 P
0.1 = 7 TeV s ATLAS = 42 GeV s HERA-B = 39 GeV s E799 = 29 GeV s NA48 = 27 GeV s M2
NB: e799 beryllium target Na48 beryllium About 50% decay contributions Phys.Rev. D91 (2015) no.3, 032004
unpolarized pp collision
. 𝑨, 𝑞. W ?
Vogelsang, Yuan Phys.Rev.Lett. 105 (2010) 202001
statistical uncertainties
21
But the dependence reverses around 1 GeV in the intermediate 𝑨„ binsàUnexpected!
Mukherjee, Phys.Rev. D100 (2019) no.1, 014029)
Λ
22
)(GeV/c)
t
p Polarization
0.5 1 1.5 0.1
0.04 0.06 0.08 0.1
<0.3
0.5 1 1.5
<0.4
0.5 1 1.5
<0.5
0.5 1 1.5
<0.9
(b)
+ X
t
p Polarization
0.5 1 1.5 0.1
0.04 0.06 0.08 0.1
<0.3
0.5 1 1.5
<0.4
0.5 1 1.5
<0.5
0.5 1 1.5
<0.9
(a)
+ X
)(GeV/c)
t
p Polarization
0.5 1 1.5 0.1
0.04 0.06 0.08 0.1
<0.3
0.5 1 1.5
<0.4
0.5 1 1.5
<0.5
0.5 1 1.5
<0.9
(a)
+ X
(GeV)
0.5 1 1.5 0.2 0.4 0.6 0.8 1
<0.3
(GeV)
0.5 1 1.5 0.2 0.4 0.6 0.8 1
<0.4
(GeV)
0.5 1 1.5 0.2 0.4 0.6 0.8 1
<0.5
(GeV)
0.5 1 1.5 0.2 0.4 0.6 0.8 1
<0.9
u d s c u d s c
u-quark carry polarization? Or shape explainable with drop in strange? (but rise in pT should Compenate?)
dependence
understand!
24
Polarization
)
0.4 0.6 0.8 0.2
0.2
<0.3
)
0.4 0.6 0.8
<0.4
)
0.4 0.6 0.8
<0.5
)
0.4 0.6 0.8
<0.9
+
Polarization
)
K
z
0.4 0.6 0.8 0.2
0.2
<0.3
)
K
z
0.4 0.6 0.8
<0.4
)
K
z
0.4 0.6 0.8
<0.5
)
K
z
0.4 0.6 0.8
<0.9
+
+ K
dependence
understand!
25
Polarization
)
0.4 0.6 0.8 0.2
0.2
<0.3
)
0.4 0.6 0.8
<0.4
)
0.4 0.6 0.8
<0.5
)
0.4 0.6 0.8
<0.9
+
Polarization
)
K
z
0.4 0.6 0.8 0.2
0.2
<0.3
)
K
z
0.4 0.6 0.8
<0.4
)
K
z
0.4 0.6 0.8
<0.5
)
K
z
0.4 0.6 0.8
<0.9
+
+ K
Enhanced |𝑄| already at low 𝑨
+
0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1
<0.3
+
0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1
<0.4
+
0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1
<0.5
+
0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1
<0.9
u d s c u d s c 26
Polarization
)
+
0.4 0.6 0.8 0.2
0.2
<0.3
)
+
0.4 0.6 0.8
<0.4
)
+
0.4 0.6 0.8
<0.5
)
+
0.4 0.6 0.8
<0.9
+
0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1
<0.3
0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1
<0.4
0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1
<0.5
0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1
<0.9
u d s c u d s c
Low L z, high p z Dominated by p 𝑣 High L z, low p z Dominated by strange for p+ and u for p- but asymmetries Simliar?
27
Polarization
)
0.4 0.6 0.8 0.2
0.2
<0.3
)
0.4 0.6 0.8
<0.4
)
0.4 0.6 0.8
<0.5
)
0.4 0.6 0.8
<0.9
+
Polarization
)
K
z
0.4 0.6 0.8 0.2
0.2
<0.3
)
K
z
0.4 0.6 0.8
<0.4
)
K
z
0.4 0.6 0.8
<0.5
)
K
z
0.4 0.6 0.8
<0.9
+
+ K
MC
2/3/20
28
2/3/20
29
2/3/20
30
)(GeV/c)
t
p Polarization
0.5 1 1.5 0.1
0.04 0.06 0.08 0.1
<0.3
0.5 1 1.5
<0.4
0.5 1 1.5
<0.5
0.5 1 1.5
<0.9
(b)
+ X
(GeV)
0.5 1 1.5 0.2 0.4 0.6 0.8 1
<0.3
(GeV)
0.5 1 1.5 0.2 0.4 0.6 0.8 1
<0.4
(GeV)
0.5 1 1.5 0.2 0.4 0.6 0.8 1
<0.5
(GeV)
0.5 1 1.5 0.2 0.4 0.6 0.8 1
<0.9
u d s c u d s c
longitudinal/transverse spin transfer in 𝑞𝑞: Phys.Rev. D98 (2018) no.9, 091103, Phys.Rev. D98 (2018) no.11, 112009
unpolarized pp
32
𝐸
+ +
𝑞 + 𝑞 → Λ↑ + 𝑌 ISR data
(Phys.Lett. B185 (1987) 209)
𝑦• = 𝑞•/max𝑞•~•”𝑦# − 𝑦W~•–—˜™—š𝑦#
33
contributions:
34
fh Jaffe, Ji, Nucl. Phys. B375, 527{560 (1992).
(integrated BM)
35
xB 0.25 AV, DNP 2018
(2003) 094003
Kharzeev Phys.Lett. B366 (1996) 311-315 (connection to chromomagnetic effects)
single hadron Collins effect in string fragmentation (a bit like worm gear functions)àInteresting to learn about spin momentum correlations in hadronization: sizable asymmetries contradicted by Belle result??
à Need weighted asymmetry including dependence on PhT
36
arXiv:1505.08020 [ Dijets!
:
Matevosyan, Kotzinian ADP-17-42-T1048
N.B. Compass did not observe significant asymmetry for unweighted asymmetry
37
Update on CLAS12 Analysis at DNP 2019
necessary statistics
EIC”, PoS SPIN2018 (2019) 167
38
Ph (also planned at CLAS12)
39
40
F
x
10
10
10
10 1 P
0.1 = 7 TeV s ATLAS = 42 GeV s HERA-B = 39 GeV s E799 = 29 GeV s NA48 = 27 GeV s M2
NB: e799 beryllium target Na48 beryllium About 50% decay contributions Phys.Rev. D91 (2015) no.3, 032004
Schlegel Phys.Lett. B744 (2015) 385-390 , Metz, Pitonyak Phys.Lett. B723 (2013) 365-370
. 𝑨, 𝑞. W ?
(2010) 202001
41
)(GeV/c)
t
p Polarization
0.5 1 1.5 0.1
0.04 0.06 0.08 0.1
<0.3
0.5 1 1.5
<0.4
0.5 1 1.5
<0.5
0.5 1 1.5
<0.9
(b)
+ X
t
p Polarization
0.5 1 1.5 0.1
0.04 0.06 0.08 0.1
<0.3
0.5 1 1.5
<0.4
0.5 1 1.5
<0.5
0.5 1 1.5
<0.9
(a)
+ X
arXiv:1808.05000, submitted to PRL
)(GeV/c)
t
p Polarization
0.5 1 1.5 0.1
0.04 0.06 0.08 0.1
<0.3
0.5 1 1.5
<0.4
0.5 1 1.5
<0.5
0.5 1 1.5
<0.9
(a)
+ X
(GeV)
0.5 1 1.5 0.2 0.4 0.6 0.8 1
<0.3
(GeV)
0.5 1 1.5 0.2 0.4 0.6 0.8 1
<0.4
(GeV)
0.5 1 1.5 0.2 0.4 0.6 0.8 1
<0.5
(GeV)
0.5 1 1.5 0.2 0.4 0.6 0.8 1
<0.9
u d s c u d s c
u-quark carry polarization? Or shape explainable with drop in strange? (but rise in pT should Compenate?)
)(GeV/c)
t
p Polarization
0.5 1 1.5 0.1
0.04 0.06 0.08 0.1
<0.3
0.5 1 1.5
<0.4
0.5 1 1.5
<0.5
0.5 1 1.5
<0.9
(b)
+ X
(GeV)
0.5 1 1.5 0.2 0.4 0.6 0.8 1
<0.3
(GeV)
0.5 1 1.5 0.2 0.4 0.6 0.8 1
<0.4
(GeV)
0.5 1 1.5 0.2 0.4 0.6 0.8 1
<0.5
(GeV)
0.5 1 1.5 0.2 0.4 0.6 0.8 1
<0.9
u d s c u d s c
0.2 0.4 0.6 0.8 1
Polarization
0.2
0.2
(uds)
0.2 0.4 0.6 0.8 1
Polarization
0.2
0.2
(uds)
Polarization
)
+
0.4 0.6 0.8 0.2
0.2
<0.3
)
+
0.4 0.6 0.8
<0.4
)
+
0.4 0.6 0.8
<0.5
)
+
0.4 0.6 0.8
<0.9
+
Polarization
)
+
K
z
0.4 0.6 0.8 0.2
0.2
<0.3
)
+
K
z
0.4 0.6 0.8
<0.4
)
+
K
z
0.4 0.6 0.8
<0.5
)
+
K
z
0.4 0.6 0.8
<0.9
+
+ K
46
+
0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1
<0.3
+
0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1
<0.4
+
0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1
<0.5
+
0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1
<0.9
u d s c u d s c 47
Polarization
)
+
0.4 0.6 0.8 0.2
0.2
<0.3
)
+
0.4 0.6 0.8
<0.4
)
+
0.4 0.6 0.8
<0.5
)
+
0.4 0.6 0.8
<0.9
+
0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1
<0.3
0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1
<0.4
0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1
<0.5
0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1
<0.9
u d s c u d s c
Low L z, high p z Dominated by anti u High L z, low p z Dominated by strange for p+ and u for p- but asymmetries Simliar?
+
K
z
0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1
<0.3
+
K
z
0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1
<0.4
+
K
z
0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1
<0.5
+
K
z
0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1
<0.9
u d s c u d s c
48
Polarization
)
+
K
z
0.4 0.6 0.8 0.2
0.2
<0.3
)
+
K
z
0.4 0.6 0.8
<0.4
)
+
K
z
0.4 0.6 0.8
<0.5
)
+
K
z
0.4 0.6 0.8
<0.9
+
+ K
z
0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1
<0.3
z
0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1
<0.4
z
0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1
<0.5
z
0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1
<0.9
u d s c u d s c
High L z, low K z Dominated by strange for p+ and u for K reflected in asymmetries
↑ production in e+e- (Boer, Kang,
Vogelsang, Yuan,PRL. 105 (2010) 202001, learn about TMD factorization
~0.5 10-6 fb-1
49
contributions:
50
fh Jaffe, Ji, Nucl. Phys. B375, 527{560 (1992). See M. Burkhardt talk on interpretations as transverse force on struck quark
51
Solid: hydrogen E.P.J. Web of Conf. 73(2014) 02008 Open: NH3 PoS DIS2014 (2014) 231
0.04 xB
z M
(2003) 094003
Kharzeev Phys.Lett. B366 (1996) 311-315 (connection to chromomagnetic effects)
single hadron Collins effect in string fragmentation (a bit like worm gear functions)àInteresting to learn about spin momentum correlations in hadronization: sizable asymmetries contradicted by Belle result??
à Need weighted asymmetry including dependence on PhT
52
arXiv:1505.08020 [ Dijets!
:
Matevosyan, Kotzinian ADP-17-42-T1048
N.B. Compass did not observe significant asymmetry for unweighted asymmetry
53
2/3/20
54
:
Matevosyan, Kotzinian ADP-17-42-T1048
N.B. Compass did not observe significant asymmetry for unweighted asymmetry
55
Update on CLAS12 Analysis at DNP 2019
56
57