Pion TMDs in light-front constituent approach, and Boer-Mulders effect in the pion-induced Drell-Yan process

Abstract

At leading twist the transverse-momentum dependent parton distributions of the pion consist of two functions, the unpolarized $f_{1,\pi }(x,{\mathbf{k}}_{\perp }^2)$ and the Boer-Mulders function $h_{1,\pi }^{\perp }(x,{\mathbf{k}}_{\perp }^2)$. We study both functions within a light-front constituent model of the pion, comparing the results with different pion models and the corresponding nucleon distributions from a light-front constituent model. After evolution from the model scale to the relevant experimental scales, the results for the collinear pion valence parton distribution function $f_{1,\pi }(x)$ are in very good agreement with available parameterizations. Using the light-front constituent model results for the Boer-Mulders functions of the pion and nucleon, we calculate the coefficient $\nu$ in the angular distribution of Drell-Yan dileptons produced in pion-nucleus scattering, which is responsible for the violation of the Lam-Tung relation. We find a good agreement with data, and carefully discuss the range of applicability of our approach.

23 pages, 11 figures

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