$O(\alpha_s)$ Heavy Flavor Corrections to Charged Current Deep-Inelastic Scattering in Mellin Space

TL;DR

This paper presents a fast Mellin-space implementation of $O(\alpha_s)$ heavy flavor Wilson coefficients for charged current deep inelastic scattering, improving precision for strange quark distribution extraction and QCD analyses.

Contribution

It provides a corrected and efficient Mellin-space implementation of heavy flavor Wilson coefficients, addressing errors in previous literature and enabling advanced parton parameterizations.

Findings

Enhanced accuracy in strange quark distribution extraction.

Corrected errors in existing literature.

Facilitated more general parton parameterizations.

Abstract

We provide a fast and precise Mellin-space implementation of the $O(\alpha_s)$ heavy flavor Wilson coefficients for charged current deep inelastic scattering processes. They are of importance for the extraction of the strange quark distribution in neutrino-nucleon scattering and the QCD analyses of the HERA charged current data. Errors in the literature are corrected. We also discuss a series of more general parton parameterizations in Mellin space.