Final state interactions and the transverse structure of the pion using non-perturbative eikonal methods

TL;DR

This paper investigates the transverse structure of the pion and the Boer-Mulders function by applying non-perturbative eikonal methods to include higher-order final-state interactions with color degrees of freedom.

Contribution

It introduces a non-perturbative eikonal approach to study final-state interactions and their impact on the Boer-Mulders function of the pion, extending beyond perturbative approximations.

Findings

Higher-order contributions significantly affect the Boer-Mulders function.

Conditions for factorization of final state interactions are identified.

The framework incorporates color degrees of freedom in a non-perturbative setting.

Abstract

In the factorized picture of semi-inclusive hadronic processes the naive time reversal-odd parton distributions exist by virtue of the gauge link which renders it color gauge invariant. The link characterizes the dynamical effect of initial/final-state interactions of the active parton due soft gluon exchanges with the target remnant. Though these interactions are non-perturbative, studies of final-state interaction have been approximated by perturbative one-gluon approximation in Abelian models. We include higher-order contributions by applying non-perturbative eikonal methods incorporating color degrees of freedom in a calculation of the Boer-Mulders function of the pion. Using this framework we explore under what conditions the Boer Mulders function can be described in terms of factorization of final state interactions and a spatial distribution in impact parameter space.