Boer-Mulders function of pion meson and $q_T$-weighted $\cos 2\varphi$ asymmetry in the unpolarized ${\pi }^{-}p$ Drell-Yan at COMPASS

Abstract

We calculate the two leading-twist transverse momentum dependent distribution functions of the pion meson, the unpolarized distribution $f_{1\pi }(x,{\mathbf{k}}_T^2)$ and the Boer-Mulders function $h_{1\pi }^{\perp }(x,{\mathbf{k}}_T^2)$, using the pion wave functions derived from a light-cone approach. The evolution effect of the first ${\mathbf{k}}_T$-moment of the pion Boer-Mulders function is studied by employing an approximate evolution kernel. Using the model resulting distributions, we predict the transverse momentum weighted $\cos 2\varphi$ azimuthal asymmetry in the unpolarized ${\pi }^{-}p$ Drell-Yan process which can be measured at COMPASS in the near future.

9 pages, 5 figures, match the version published in PRD

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Cited by in corpus (10)

• Tomography of light mesons in light-cone quark model
• Predicting the light-front holographic TMDs of the pion
• Quark Wigner distribution of the pion meson in light-cone quark model
• Transverse polarization of the $\Lambda$ hyperon from unpolarized quark fragmentation in the diquark model
• Boer-Mulders effect in the unpolarized pion induced Drell-Yan process at COMPASS within TMD factorization
• Quark spin-orbit correlations in the pion meson in light-cone quark model
• Sivers and Boer-Mulders TMDs of proton in a light-front quark-diquark model
• The $\sin (2\varphi -{\varphi }_S)$ azimuthal asymmetry in the pion induced Drell-Yan process within TMD factorization
• Double Collins effect in $e^{+}{e}^{-}\to \Lambda \bar{\Lambda }X$ process in a diquark spectator model
• Parton distributions and $\cos 2{\varphi }_h$ asymmetry induced by anomalous photon-quark coupling