# Running of the Charm-Quark Mass from HERA Deep-Inelastic Scattering Data

## TL;DR

This paper uses HERA deep-inelastic scattering data to measure the charm-quark mass at various energy scales, confirming its scale dependence aligns with QCD predictions.

## Contribution

It extends previous analyses by evaluating the charm-quark running mass at different scales within a NLO QCD framework using the same data.

## Key findings

- Charm-quark mass running with scale is consistent with QCD.
- The analysis confirms the scale dependence predicted by QCD.
- Results support the validity of the MSbar scheme for charm mass.

## Abstract

Combined HERA data on charm production in deep-inelastic scattering have previously been used to determine the charm-quark running mass $m_c(m_c)$ in the MSbar renormalisation scheme. Here, the same data are used as a function of the photon virtuality $Q^2$ to evaluate the charm-quark running mass at different scales to one-loop order, in the context of a next-to-leading order QCD analysis. The scale dependence of the mass is found to be consistent with QCD expectations.