Heavy-flavor hadro-production with heavy-quark masses renormalized in the ${\overline{\rm MS}}$, MSR and on-shell schemes

TL;DR

This paper compares different heavy-quark mass renormalization schemes in QCD predictions for heavy-flavor production at the LHC, analyzing their effects on theoretical calculations and experimental data interpretation.

Contribution

It introduces the use of ${ar{ m MS}}$ and MSR schemes in heavy-quark production predictions, extending existing computational tools and applying results to top-quark mass extraction and PDF constraints.

Findings

Renormalization scheme choice affects scale dependence and convergence.

MSR scheme provides improved perturbative behavior.

Results help refine top-quark mass measurements and gluon PDF at low x.

Abstract

We present predictions for heavy-quark production at the Large Hadron Collider making use of the ${\overline{\rm MS}}$ and MSR renormalization schemes for the heavy-quark mass as alternatives to the widely used on-shell renormalization scheme. We compute single and double differential distributions including QCD corrections at next-to-leading order and investigate the renormalization and factorization scale dependence as well as the perturbative convergence in these mass renormalization schemes. The implementation is based on publicly available programs, ${\texttt{MCFM}}$ and ${\texttt{xFitter}}$, extending their capabilities. Our results are applied to extract the top-quark mass using measurements of the total and differential $t\bar{t}$ production cross-sections and to investigate constraints on parton distribution functions, especially on the gluon distribution at low $x$ values, from available LHC data on heavy-flavor hadro-production.