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Boer-Mulders function of pion meson and $q_T$-weighted $\cos2\phi$ asymmetry in the unpolarized $\pi^- p$ Drell-Yan at COMPASS

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arxiv 1702.03637 v2 pith:YFAVYIIB submitted 2017-02-13 hep-ph hep-ex

classification hep-phhep-ex
keywords pionboer-muldersfunctionunpolarizedasymmetrycompasscos2distribution
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We calculate the two leading-twist transverse momentum dependent distribution functions of the pion meson, the unpolarized distribution $f_{1\pi}(x,\bm{k}^2_T)$ and the Boer-Mulders function $h_{1\pi}^\perp (x,\bm{k}^2_T)$, using the pion wave functions derived from a light-cone approach. The evolution effect of the first $\bm k_T$-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 $\cos2\phi$ azimuthal asymmetry in the unpolarized $\pi^- p$ Drell-Yan process which can be measured at COMPASS in the near future.

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Cited by 1 Pith paper

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  1. Measurement of $\mathbf{q_T}$-weighted transverse-spin-dependent azimuthal asymmetries at COMPASS

    hep-ex 2019-08 conditional novelty 6.0 of 10

    COMPASS reports preliminary qT-weighted Drell-Yan transverse spin asymmetries from 2015 plus half of 2018 data, and extracts the first transverse moment of the pion Boer-Mulders TMD PDF.

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