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Analysis Mass Distribution: K + K − Process Identification ◮ Lower signal, but much lower background fraction. ◮ No other mesons decaying into K + K − within mass window. ◮ Clean access to strange quark distribution and fragmentation functions. Gliske (HERMES / Michigan) SIDIS Vector Mesons at Hermes 11 April, 2011 31 / 66
Fitting Functions Analysis Fitting Details ◮ Perform angular fit in each kinematic bin ◮ Main focus is on transverse target Collins and Sivers moments ◮ Fit function includes 41 angular moments plus constant term ◮ Unpolarized moments, twist-2 and twist-3 (24 moments) ◮ The transverse target Collins and Sivers moments (18 moments) f (cos ϑ, φ h , φ R , φ S ) = 2X l=0 " lX m=0 + + lX m=−l lX m=−l “ “ a |l,m〉 1 P l,m cos(mφ h − mφ R ) a |l,m〉 2 b |l,m〉 1 P l,m cos((2 − m)φ h + mφ R ) + a |l,m〉 ” 3 P l,m cos((1 − m)φ h + mφ R ) P l,m sin((m + 1)φ h − mφ R − φ S ) + b |l,m〉 2 P l,m sin((1 − m)φ h + mφ R + φ S ◮ Constrain a |0,0〉 1 = 1. ◮ Fit parameters are integrals of structure functions, which are integrals of distribution and fragmentation functions a |l,m〉 1 ∝ f 1 D |l,m〉 1 a |l,m〉 2 ∝ h ⊥ 1 H ⊥|l,m〉 1 a |l,m〉 3 ∝ f 1 D |l,m〉 1 , h ⊥ 1 H ⊥|l,m〉 1 b |l,m〉 1 ∝ f1TD ⊥ |l,m〉 1 b |l,m〉 2 ∝ h 1 H ⊥|l,m〉 1 Gliske (HERMES / Michigan) SIDIS Vector Mesons at Hermes 11 April, 2011 32 / 66
Page 1 and 2: Transverse Target Moments of Dihadr
Page 3 and 4: Motivation & Background Motivation
Page 5 and 6: Motivation & Background Introductio
Page 7 and 8: Motivation & Background Introductio
Page 9 and 10: Motivation & Background Fragmentati
Page 11 and 12: Motivation & Background Fragmentati
Page 13 and 14: Theory Partial Wave Expansion Fragm
Page 15 and 16: Theory Partial Wave Expansion Where
Page 17 and 18: Theory Cross Section Structure Func
Page 19 and 20: Theory Spectator Model Collinear Di
Page 21 and 22: Numerical Methods Smearing/Acceptan
Page 23 and 24: Numerical Solution ◮ Define/compu
Page 25 and 26: Numerical Methods New TMDGEN Genera
Page 27 and 28: Numerical Methods TMDGEN π + π 0
Page 29 and 30: Analysis Analysis Gliske (HERMES /
Page 31: Analysis Mass Distribution: π + π
Page 35 and 36: Analysis Monte Carlo Challenge Chal
Page 37 and 38: Analysis Non-resonant Photon Pairs
Page 39 and 40: Analysis Exclusive Background Proce
Page 41 and 42: Analysis Consistency Check Comparis
Page 43 and 44: Systematic Studies Challenge B Mont
Page 45 and 46: Systematic Studies Challenge B Chal
Page 47 and 48: Systematic Studies Year Dependence
Page 49 and 50: Systematic Studies Particle Identif
Page 51 and 52: Systematic Studies Overall Systemat
Page 53 and 54: Results and Conclusions Sivers mome
Page 55 and 56: Results and Conclusions Collins |1,
Page 57 and 58: Results and Conclusions Collins |2,
Page 59 and 60: Conclusions Results and Conclusions
Page 61 and 62: Backup Slides Rigorous Definitions
Page 63 and 64: Backup Slides Relations with Previo
Page 65 and 66: Backup Slides Fragmentation Correla
Page 67: Backup Slides Model Calculation for

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