tParton: Implementation of next-to-leading order evolution of transversity parton distribution functions

TL;DR

This paper introduces Python code that efficiently solves the NLO evolution equations for transversity PDFs, filling a gap in publicly available tools for nucleon transverse spin structure analysis.

Contribution

It provides the first publicly available Python implementation for NLO evolution of transversity PDFs, including two solution methods and theoretical comparison.

Findings

Code accurately solves LO and NLO DGLAP equations for transversity PDFs

Highlights differences between LO and NLO evolution methods

Fills a gap in computational tools for nucleon transverse spin studies

Abstract

We provide code to solve the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations for the nucleon transversity parton distribution functions (PDFs), which encode nucleon transverse spin structure. Though codes are widely available for the evolution of unpolarized and polarized PDFs, there are few codes publicly available for the transversity PDF. Here, we present Python code which implements two methods of solving the leading order (LO) and next-to-leading order (NLO) approximations of the DGLAP equations for the transversity PDF, and we highlight the theoretical differences between the two.