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Simulations of Transverse SSA from SIDIS @ EIC

Simulations of Transverse SSA from SIDIS @ EIC. Workshop on Partonic Transverse Momentum in Hadrons: Quark Spin-Orbit Correlations and Quark-Gluon Interactions. Min Huang Xin Qian Duke University / TUNL Advisor: Haiyan Gao. SIDIS @ Electron Ion Collider. Lab Frame .

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Simulations of Transverse SSA from SIDIS @ EIC

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  1. Simulations of Transverse SSA from SIDIS @ EIC Workshop on Partonic Transverse Momentum in Hadrons: Quark Spin-Orbit Correlations and Quark-Gluon Interactions Min Huang XinQian Duke University / TUNL Advisor: HaiyanGao

  2. SIDIS @ Electron Ion Collider Lab Frame (Trento convention) Ion-at-rest frame

  3. Applied Cuts for DIS • Electron: 2.5°< ϴ < 150°P > 1.0 GeV/c • Full azimuthal-angular coverage DIS cut: Q2 > 1 Large W cuts 0.8 > y > 0.05 • Capability to detect high momentum electron • No need to cover very forward angle for electron

  4. SIDIS cut: Large MXcuts 0.8 > z > 0.2 Applied Cuts for SIDIS • Low PT kinematics • PT < 1.0 GeV/c • High PT kinematics • PT > 1.0 GeV/c • Hadron: 40°< ϴ < 175° 0.7 GeV/c < P < 10 GeV/c • Full azimuthal-angular coverage • Low momentum, large polar angluar coverage

  5. Q2 & x coverage Q2=x y s sdefines how low xand how high Q2we can achieve • Electron • Forward angle, lose high Q2 • Lower momentum, lose high x

  6. Mapping of TSSA 12 GeV --> Yi Qiang’s talk approved SoLID SIDIS experiment Lower y cut, more overlap with 12 GeV 0.05 < y < 0.8

  7. Study both Proton and Neutron ion momentum z PNZ/A Flavor separation, Combine the data the lowest achievable x limited by the effective neutron beam

  8. Cross Section in MC • Low PTcross section: • A. Bacchettahep-ph/0611265 JHEP 0702:093 (2007) • High PTcross section: • M. Anselminoet al. Eur. Phys. K. A31 373 (2007) 6x6 Jacobian calculation • PDF: CTEQ6M • FF: Binneweis et al PRD 52 4947 • <pt2> = 0.2 GeV2<kt2> = 0.25 GeV2 • NLO calculation at large PT • <pt2> = 0.25 GeV2 • <kt2> = 0.28 GeV2 • K factor assumed to be larger than 1.

  9. Calculation Information • Calculation code is from Ma et al. (Peking University) • PDF: MRST 2004 • FF: Kretzer’s fit EPJC 22 269 2001 • Collins/Pretzelosity: PRD 054008 (2009) • PT dependence: Anselmino et al arXiv: 0807.0173 • Sivers TMD: Anselmino et al arXiv: 0807.0166 • Collins Fragmentation function: Anselmino et al 0807.0173 • Q2 =10 GeV2 • S: 11 GeV + 60 GeV

  10. Projection with Proton • 11 + 60 GeV • 36 days • L = 3x1034 /cm2/s • 2x10-3 Q2<10 GeV2 • 4x10-3 Q2>10 GeV2 • 3 + 20 GeV • 36 days • L = 1x1034/cm2/s • 3x10-3 Q2<10 GeV2 • 7x10-3 Q2>10 GeV2 • Polarization 80% • Overall efficiency 70% • z: 12 bins 0.2 - 0.8 • PT: 5 bins 0-1 GeV φh angular coverage considered Show the average of Collins/Sivers/Pretzlosity projections • Alsoπ-

  11. Projection with 3He (neutron) • 11 + 60 GeV • 72 days • 3 + 20 GeV • 72 days • 12 GeVSoLid • 3He: 86.5% effective polarization • Dilution factor: 3 • D: 88% effective polarization • Effective dilution • Equal stat. for proton and neutron (combine 3He and D)

  12. Proton π+ (z = 0.3-0.7)

  13. 3He π+ (z = 0.3-0.7)

  14. Proton K+ (z = 0.3-0.7)

  15. Summary of Low PT SIDIS ( PT < 1.0 GeV/c) • No need the extreme “forward” /“backward” angular coverage for electrons/hadrons • Scattered electron ~ initial electron energy • Resolution and PID at high momentum • Leading hadron momentum < 5-6 GeV/c • Good PID: kaons/pions • Large polar angular coverage • sdefines the Q2andxcoverage (Q2=x y s) • High Luminosity (large and small s) essential to achieve precise mapping of SSAs in 4-D projection

  16. High PT kinematics High PT : hadron momentum dramatically increase require high momentum PID, large polar angular coverage

  17. 10 bins 1 -- 10 GeV in log(PT) PT dependence (High PT) on p of π+

  18. Conclusion • EIC facilitates the exploration • High Q2and low x phase space (sea) • High PT kinematic region • High luminosity is essential • Multi-dimensional approach • Advance our understanding of TMDs and transverse spin physics Thank you!

  19. Backup

  20. ELIC detector cartoon - Oct. 09 (“Old”: 1st electron quad now at 3 m, and 100 mr crossing angle) 8 meters (for scale) Offset IP? 140 degrees TOF HCAL ECAL Tracking DIRC HTCC RICH dipole dipole 1st (small) electron FF quad @ 6 m solenoid Additional electron detection (tracking, calorimetry) for low-Q2 physics not on cartoon Ion beam e beam

  21. JLAB6&12 HERMES 1035 ENC@GSI COMPASS (M)EIC MeRHIC 1034 Luminosity [cm-2 s-1] 1033 1032 10000 100000 10 100 1000 s [GeV2]

  22. Q vs. PT

  23. z vs PT

  24. Projection derivation • At low x , σn=σp • D running time 2 times of H, thus • equal stat for proton and neutron (combine 3He and D) • If take p for 1 • 3He: 9/0.865/0.865/3/2≈1/2 • D: 8/0.88/0.88/2/2≈1/2.6 • 1/2+1/2.6 ≈ 1

  25. Other s situations Highest s that have overlap with 12 GeV

  26. Electron Momentum dependence Low z and high y cut off the low electron momentum events

  27. Cross Section in MC • Low PT cross-section: • A. Bacchettahep-ph/0611265 JHEP 0702:093 (2007) • High PT cross-section: • M. Anselminoet al. Eur. Phys. K. A31 373 (2007) 6x6 Jacobian calculation • K factor is assumed to be larger than 1 • K factor is calculated to ensure the TMD calculation at PT = 0.8 get the same results as the large PT calculation at PT=1.2 • VERY naïve interpolation between 0.8 and 1.2.

  28. Cut shape at the high Q2 end • Due to high scattered electron momentum cut-off

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