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

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,k(perpendicular to)(2)) and the Boer-Mulders function h(perpendicular to)(1 pi)(x,k(perpendicular to)(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, an LO evolution is performed from model scale to experimental scale for the case of unpolarized parton distribution function f(1 pi)(x,k(perpendicular to)(2)).

Automated summary

In this study, the transverse momentum-dependent parton distributions for the pion were investigated using the light-front holographic model. The unpolarized parton distribution function and the Boer-Mulders function were obtained and compared with results from other models. An LO evolution was performed for the unpolarized parton distribution function to provide inputs for predicting future experimental data.