A new method to extract the valence transversity distributions

TL;DR

This paper introduces a novel method for extracting u- and d-quark transversity distributions from SIDIS data, utilizing difference asymmetries and proposing new measurements to directly determine their ratio.

Contribution

It proposes a new extraction technique for transversity distributions that avoids reliance on Collins functions and suggests specific measurements for direct ratio determination.

Findings

Method effectively extracts transversity distributions

Proposes measurements to directly determine $h_1^{d_v}/h_1^{u_v}$

Provides numerical estimates supporting the method

Abstract

A new method is suggested for the extraction of $u$-quark and $d$-quark transversity distributions, using single spin asymmetry (SSA) data in semi-inclusive deep inelastic scattering (SIDIS) processes, where they couple to the Collins or the di-hadron fragmentation functions. We discuss a recent suggestion to extract the transversity distribution using the concept of difference asymmetries and their ratios, which avoids the requirement of Collins function. We suggest new measurements, involving ratios of polarized cross-sections, that would directly probe the ratio $h_1^{d_v}/h_1^{u_v}$. We also show some numerical estimates.