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arXiv · 1406.2056

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

B. Pasquini·P. Schweitzer
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Abstract

At leading twist the transverse-momentum dependent parton distributions of the pion consist of two functions, the unpolarized $f_{1,π}(x,\boldsymbol k^{\, 2}_\perp)$ and the Boer-Mulders function $h_{1,π}^{\perp}(x,\boldsymbol k^{\, 2}_\perp)$. 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 $f_{1,π}(x)$ 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 $ν$ 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.

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B. Pasquini, P. Schweitzer. 2014-06-09. Pion TMDs in light-front constituent approach, and Boer-Mulders effect in the pion-induced Drell-Yan process. https://doi.org/10.1103/physrevd.90.014050

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