Sivers Asymmetry in the pion induced Drell-Yan process at COMPASS within TMD factorization

Abstract

We investigate the Sivers asymmetry in the pion-induced single polarized Drell-Yan process in the theoretical framework of the transverse momentum dependent factorization up to next-to-leading logarithmic order of QCD. Within the TMD evolution formalism of parton distribution functions, the recently extracted nonperturbative Sudakov form factor for the pion distribution functions as well as the one for the Sivers function of the proton are applied to numerically estimate the Sivers asymmetry in the ${\pi }^{-}p$ Drell-Yan at the kinematics of the COMPASS at CERN. In the low $b$ region, the Sivers function in $b$-space can be expressed as the convolution of the perturbatively calculable hard coefficients and the corresponding collinear correlation function, of which the Qiu-Sterman function is the most relevant one. The effect of the energy-scale dependence of the Qiu-Sterman function to the asymmetry is also studied. We find that our prediction on the Sivers asymmetries as functions of $x_p$, $x_{\pi }$, $x_F$ and $q_{\perp }$ is consistent with the recent COMPASS measurement.

11 pages, 2 figures,version published in PRD

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• New parton distributions for collider physics
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• QCD Evolution of the Transverse Momentum Dependent Correlations
• Sivers effect in Drell-Yan processes
• Test the time-reversal modified universality of the Sivers function
• QCD evolution of naive-time-reversal-odd parton distribution functions
• Transverse momentum spectrum of dilepton pair in the unpolarized ${\pi }^{-}N$ Drell-Yan process within TMD factorization
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Cited by in corpus (6)

• Leading twist T-even TMDs for the spin-1 heavy vector mesons
• Boer-Mulders effect in the unpolarized pion induced Drell-Yan process at COMPASS within TMD factorization
• Transverse single spin asymmetry $A_{UT}^{\sin ({\varphi }_h-{\varphi }_S)}$ for single hadron production in SIDIS
• $\sin ({\varphi }_{\Lambda }-{\varphi }_S)$ azimuthal asymmetry in transversely polarized $\Lambda$ production in SIDIS within TMD factorization at EIC
• The $\sin 2{\varphi }_h$ azimuthal asymmetry of pion production in SIDIS within TMD factorization
• Kotzinian-Mulders effect in semi-inclusive DIS within TMD factorization