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Global analysis of the Sivers functions at NLO+NNLL in QCD

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arxiv 2009.10710 v2 pith:SAI3XESB submitted 2020-09-22 hep-ph hep-exnucl-exnucl-th

Global analysis of the Sivers functions at NLO+NNLL in QCD

classification hep-ph hep-exnucl-exnucl-th
keywords dataasymmetryrhicsiversasymmetriesbosoncompassdrell-yan
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We perform global fit to the quark Sivers function within the transverse momentum dependent (TMD) factorization formalism in QCD. We simultaneously fit Sivers asymmetry data from Semi-Inclusive Deep Inelastic Scattering (SIDIS) at COMPASS, HERMES, and JLab, from Drell-Yan lepton pair production at COMPASS, and from $W/Z$ boson at RHIC. This extraction is performed at next-to-leading order (NLO) and next-to-next-to leading logarithmic (NNLL) accuracy. We find excellent agreement between our extracted asymmetry and the experimental data for SIDIS and Drell-Yan lepton pair production, while tension arises when trying to describe the spin asymmetries of $W/Z$ bosons at RHIC. We carefully assess the situation, and we study in details the impact of the RHIC data and their implications through different ways of performing the fit. In addition, we find that the quality of the description of $W/Z$ vector boson asymmetry data could be strongly sensitive to the DGLAP evolution of Qiu-Sterman function, besides the usual TMD evolution. We present discussion on this and the implications for measurements of the transverse-spin asymmetries at the future Electron Ion Collider.

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Cited by 10 Pith papers

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