Final State Interactions and the Transverse Structure of the Pion

TL;DR

This paper investigates the non-perturbative effects of final-state interactions on the Boer-Mulders function of the pion, using eikonal methods to go beyond one-gluon approximations in semi-inclusive deep inelastic scattering.

Contribution

It introduces a non-perturbative eikonal approach to calculate the Boer-Mulders function, extending previous perturbative models and analyzing factorization conditions.

Findings

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

Factorization of final state interactions depends on specific conditions.

The framework provides insights into the transverse structure of the pion.

Abstract

In the factorized picture of semi-inclusive deep inelastic scattering the naive time reversal-odd parton distributions exist by virtue of the gauge link which is intrinsic to their definition. The link structure describes initial/final-state interactions of the active parton due to soft gluon exchanges with the target remnant. Though these interactions are non-perturbative, calculations of final-state interaction have been performed in a perturbative one-gluon approximation. We include higher-order contributions by applying non-perturbative eikonal methods to calculate 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 distortion.