Transverse momentum dependent parton distributions of pion in the light-front holographic model

Abstract

Using the light-front holographic model, we study the transverse momentum dependent parton distributions (TMDs) for the case of pion. At leading twist, the unpolarized parton distribution function $f_{1\pi }(x,{\text{bfk}}^2)$ and the Boer-Mulders function $h_{1\pi }^{\perp }(x,{\text{bfk}}^2)$ are obtained for pion. We calculate both the functions using the light-front holographic model with spin improved wave function and compare the predicted results with available results of other models. In order to provide inputs in predicting future experimental data, a LO evolution is performed from model scale to experimental scale for the case of unpolarized parton distribution function $f_{1\pi }(x,{\text{bfk}}^2)$.

Comments: 19 pages, 6 figures