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XV Workshop on High Energy Spin Physics Dubna , Russia, October 8-12, 201 3. Results on the Transverse Double Spin Asymmetries in the elastic pp-scattering at √s=200 GeV. Helicity amplitudes for spin ½ ½ → ½ ½. Matrix elements. Observables : cross sections and spin asymmetries. - PowerPoint PPT Presentation
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STARSTAR
Igor Alekseev (ITEP) for the STAR Collaboration 1
XV Workshop on High Energy Spin PhysicsDubna, Russia, October 8-12, 2013
XV Workshop on High Energy Spin PhysicsDubna, Russia, October 8-12, 2013
Results on the Transverse Double Spin
Asymmetries in the elastic pp-scattering at √s=200 GeV
STAR Helicity amplitudes for spin ½ ½ → ½ ½
Igor Alekseev (ITEP) for the STAR Collaboration 22
spin non–flip
double spin-flip
spin non–flip
double spin-flip
single spin-flip
1
2
3
4
5
, | |
, | |
, | |
, | |
, | |
, , ,
EM HADi i i
s t M
s t M
s t M
s t M
s t M
s t s t s t
0031 Im
4Im
4 tttot ss
02Im8
tT s
031Imπ8
σσσΔ
tL s
Observables: cross sections and spin asymmetries
25
24
23
22
212
||4||||||||2
sdt
d 4321
*52 Im
4),(
sdtd
tsAN
4*32
*1
2
52Re2
4),(
sdt
dtsANN
*43
*212
Re4
),(
sdt
dtsASS
Matrix elements
STAR
Cross-section azimutual angular dependence for transversely polarized beams:
Polarized cross-sections and spin parameters
Igor Alekseev (ITEP) for the STAR Collaboration 33
;
NN SSA A
|| pn
pns
0 1 ( ) ( )( ) ( )( )N B Y NN B Y SS B YA P P n A P n P n A P s P s
BP
YP
- is the normal vector to the scattering planen
- is the vector in the scattering plane, normal to the initial momentum
; - polarizations of two colliding beams
2
2 22 1 ( ) cos ( cos sin )B Y N B Y NN SS
d dP P A P P A A
dtd dt
Double-spin asymmetry
ANN – polarization normal to the scattering plane
ASS – polarization vector in the scattering plane
No angle dependence - luminosity normalization required !
STAR Probing Odderon
Igor Alekseev (ITEP) for the STAR Collaboration 4
E.Leader, T.L.Trueman“The Odderon and spin dependence of high-energy proton-proton scattering”,
PR D61, 077504 (2000)
•Pomeron and Odderon are 90deg out of phase
•5% Odderon contribution → 5% ANN
T.L.Trueman
“Double-spin asymmetry in elastic proton-proton scattering as a probe
for the Odderon”, arXiv:hep-ph/0604153v1 (2006)
Regge poles only
Regge poles and cuts
No odderon
Odderon spin-flip coupling ≈ Pomeron spin-flip coupling
Odderon spin-flip coupling ≈ ρ spin-flip coupling
S=200 GeV2
S=2002 GeV2
S=5002 GeV2
100x ANN(No Odderon)
ANN(Odderon flip=ρ flip)
S=200 GeV2
STAR
Igor Alekseev (ITEP) for the STAR Collaboration 55
HJet@RHICPRD79(09)094014
pp2pp@RHICs = 200 GeVPLB647(07)98
ANN : existing data
HJet@RHICPRD79(09)094014
STAR
Both beams were transversely polarized with 60% polarization.
Excellent detector performance – nearly 100% efficiency and only 5 dead/noisy strips per ~14000 active strips.
2π acceptance in φ. Ideal optics β*= 21m and terms
other than LEFF in the transport matrix were very small.
0.003 < -t < 0.03 A good statistics of about 2·107
elastic events with background less than 1%.
Experimental conditions
Igor Alekseev (ITEP) for the STAR Collaboration 6
STAR detector
Horz. RPs
Vert. RPs Vert. RPs
Horz. RPs
Detector Package
PBPY= 0.372±0.052 *Averaged for our fills from the official Run’09 CNI polarimeter results
https://wiki.bnl.gov/rhicspin/Results
Normalization using beam beam counters – critical issue: see presentation by D. Svirida for details
STAR
Double spin asymmetries analysis uses the same set of elastic events with the same cuts. Single spin asymmetries from current analysis repeated those of published result which was
based on square root formula
Single spin asymmetry result
Igor Alekseev (ITEP) for the STAR Collaboration 7
Phys. Lett. B719 (2013) 62-69
STAR
Raw asymmetry
Igor Alekseev (ITEP) for the STAR Collaboration 8
2 2( ) ( cos sin )
( ( ) ( )) ( ( ) ( ))
( ( ) ( )) ( ( ) ( ))
NN B Y NN SSP P A A
K K K K
K K K K
STAR PRELIMINARYOnly statistical errors shown
STAR r2 and r4
Igor Alekseev (ITEP) for the STAR Collaboration 99
Error bars represent statistical only errors (boxes) and total uncorrelated errors including those due to background subtraction.Accurate formulas from:
N.H. Buttimore et al.
[hep-ph/9901339] r5 taken from AN result from the same data sample at STAR:
Phys. Lett. B719 (2013) 62-69Grey bar – common systematic uncertainty on (ANN+ASS)/2 due to luminosity normalization(ANN+ASS)/2 is consistent with Hjet data, but higher precision.Formally, r4 can be obtained from the fit, yet r4=0 is not a bad hypothesis
(ANN-ASS)/2 points average to a good zero
Fit r2
Fit r4
STAR PRELIMINARY
STAROne-σ ellipses
Igor Alekseev (ITEP) for the STAR Collaboration 1010
STAR PRELIMINARY
Im r2 is well constrained – small negative value. Re r2 is compatible with 0
r4 components are only 1.2σ and 1.7σ from 0 Re r4 is large because of kinematic factor m2/t. Assumption r4=0 is reasonable
As a conclusion
The most precise measurement of the transverse double spin asymmetries in the CNI region at collider energies performed. Over the whole interval ANN and ASS are small and (ANN+ASS)/2= –0.0051±0.0006(stat)±0.0012(sys)
(ANN-ASS)/2= 0.0005±0.0009(stat)±0.0006(sys)
Our result differs from the current theory predictions and could indicate non-zero Odderon spin-flip coupling.