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SSA in the target fragmentation region of SIDIS. Aram Kotzinian Torino University & INFN On leave in absence from YerPhI, Armenia and JINR, Russia. Cahn and Sivers effects Phenomenology & Data in the CFR Intrinsic transverse momentum of partons in LEPTO Results for TFR of SIDIS
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SSA in the target fragmentation region of SIDIS Aram Kotzinian Torino University & INFN On leave in absence from YerPhI, Armeniaand JINR, Russia • Cahn and Sivers effects • Phenomenology & Data in the CFR • Intrinsic transverse momentum of partons in LEPTO • Results for TFR of SIDIS • Discussion & Conclusions M.Anselmino, M.Boglione, U.D’Alesio, A.K., F.Murgia and A.Prokudin:PRD 71, 074006 (2005) A.K.:arXiv:hep-ph/0504081 AramKotzinian
Unpolarized SIDIS & Cahn effect Ji et al: QCD factorization holds for approximation Quadratic in Linear in and proportional to AramKotzinian
Comparison with data Non Gaussian tail; x, z and flavor dependence of intrinsic and fragmentation transv. momentum AramKotzinian
Interpretation of Sivers effect 2 + In standard approach the effective treatment of the Sivers effect is adopted as correlation in quark distribution in transversely polarized nucleon Brodsky, Hwang & Schmidt, 2002: FSI Collins, 2002; Belitski, Ji &Yuan, 2003: Wilson gauge link Boer, Mulders & Teryaev, 1997: twist three gluonic pole AramKotzinian
Parameterization for Sivers effect AramKotzinian
Data AramKotzinian
New HERMES data AramKotzinian
CFR: TMD dependent description h q q N Well clasified correlations in distribution and fragmentation functions Sivers effect Boer-Mulders distribution Helicity distribution Collins effect in quark fragmentation AramKotzinian
TFR & Fracture Functions q N h 1994: Trentadue & Veneziano; Graudenz; … Fracture functions: probability of finding a parton q with momentum fraction x and a hadron h with the CMS energy fraction Eh/EN More correlations for TMD dependent FracFuncs AramKotzinian
Azimuths in SIDIS In one-photon approximation the general structure of azimuthal angles dependences in polarized SIDIS can be found from very general principles (A.K. 1995). Valid both for CFR and TFR. AramKotzinian
Hadronization Soft Strong Interaction AramKotzinian
Quark intrinsic transverse momentum in LEPTO - Generate virtual photon – quark scattering in collinear configuration: - Before - After hard scattering - Generate intrinsic transverse momentum of quark (Gaussian kT) - Rotate in l-l’ plane - Generate uniform azimuthal distribution of quark (flat by default) - Rotate around virtual photon AramKotzinian
Implementing Cahn and Sivers effects in LEPTO The common feature of Cahn and Sivers effects Unpolarized initial and final quarks Fragmenting quark-target remnant system is similar to that in default LEPTO but the direction of is now modulated Cahn: Sivers: Generate the final quark azimuth according to above distributions AramKotzinian
Results: Cahn Imbalance of measured in TFR and CFR: neutrals? AramKotzinian
Results: Sivers Predictions for JLab 12 GeV xF-dependence Red triangles with error bars – projected statistical accuracy for 1000h data taking (H.Avagyan). z and xBj-dependences AramKotzinian
Results: Sivers JLab 12 GeV AramKotzinian
SSA in PP-interactions E704. Curves: by Anselmino et al, STAR (hep-ex/0505024) xF<0 in PP corresponds to xF>0 in SIDIS. In both cases backward with respect to polarized proton flight direction in CMS. Both the active quark and the proton remnant are flying in forward direction. Which particles provide transverse momentum balance? AramKotzinian
Both Cahn and Sivers effects are implemented in LEPTO. Possible effects of polarized hadronization were neglected. Existing data in CFR are well described by modified LEPTO The measured Cahn effect in the TFR is not well described Is there an universal mechanism describing SSA in SIDIS and PP interactions? It will be interesting to implement Cahn and Sivers effects in PHYTIA It is important to perform new measurements of both effects in the TFR (JLab, HERMES, Electron Ion Colliders) This will help better understand hadronization mechanism Do the neutral hadrons compensate Cahn effect in CFR? Is there a similarity with PP-reaction? Multihadron final states distributions can enhance effects Fracture Function “Global” analysis Classification of spin and TMD dependent correlations in Fracture Functions Discussion & Conclusions AramKotzinian