Final State Interactions, T-odd PDFs & the Lensing Function

TL;DR

This paper explores the connection between final state interactions, T-odd parton distribution functions, and the lensing function, using a non-perturbative eikonal model to relate the Sivers effect to impact parameter GPDs.

Contribution

It introduces a non-perturbative eikonal model to calculate the lensing function, linking the Sivers function and impact parameter GPD E beyond sign considerations.

Findings

Lensing function calculated in a non-perturbative framework

Comparison between Sivers function and GPD E established

Enhanced understanding of final state interactions in T-odd PDFs

Abstract

It has been suggested that under certain approximations the Sivers effect can be described in terms of factorization of final state interactions and a spatial distortion of impact parameter space parton distribution; that is a convolution of the so-called lensing function and the impact parameter GPD $E$. In this approach the lensing function is calculated in a non-perturbative eikonal model. This enables a comparison between the a priori distinct Sivers function and the GPD $E$ which goes beyond the discussion of overall signs.