Boer-Mulders effect in the unpolarized pion induced Drell–Yan process at COMPASS within TMD factorization

Autor: Xiaoyu Wang, Wenjuan Mao, Zhun Lu
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: European Physical Journal C: Particles and Fields, Vol 78, Iss 8, Pp 1-11 (2018)
Druh dokumentu: article
ISSN: 1434-6044
1434-6052
DOI: 10.1140/epjc/s10052-018-6114-4
Popis: Abstract We investigate the theoretical framework of the $$\cos 2\phi $$ cos2ϕ azimuthal asymmetry contributed by the coupling of two Boer-Mulders functions in the dilepton production unpolarized $$\pi p$$ πp Drell–Yan process by applying the transverse momentum dependent factorization at leading order. We adopt the model calculation results of the unpolarized distribution function $$f_1$$ f1 and Boer-Mulders function $$h_1^\perp $$ h1⊥ of pion meson from the light-cone wave functions. We take into account the transverse momentum dependent evolution effects for both the distribution functions of pion and proton by adopting the existed extraction of the nonperturbative Sudakov form factor for the pion and proton distribution functions. An approximate kernel is included to deal with the energy dependence of the Boer-Mulders function related twist-3 correlation function $$T_{q,F}^{(\sigma )}(x,x)$$ Tq,F(σ)(x,x) needed in the calculation. We numerically estimate the Boer-Mulders asymmetry $$\nu _{BM}$$ νBM as the functions of $$x_p$$ xp , $$x_\pi $$ xπ , $$x_F$$ xF and $$q_T$$ qT considering the kinematics at COMPASS Collaboration.
Databáze: Directory of Open Access Journals
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