Running of the top quark mass at NNLO in QCD

TL;DR

This paper investigates the energy-scale dependence of the top quark mass at NNLO in QCD by comparing theoretical calculations with CMS experimental data, confirming the predicted running behavior.

Contribution

First to probe the running of the top quark mass at NNLO in QCD using experimental data and the $ mar{MS}$ scheme, validating QCD predictions.

Findings

Observed running of $m_t$ matches three-loop QCD predictions

Extracted scale dependence up to 0.5 TeV

Confirmed the validity of NNLO calculations in top quark physics

Abstract

The running of the top quark mass ($m_\mathrm{t}$) is probed at the next-to-next-to-leading order in quantum chromodynamics for the first time. The result is obtained by comparing calculations in the modified minimal subtraction ($\mathrm{\overline{MS}}$) renormalisation scheme to the CMS result on differential measurement of the top quark-antiquark ($\mathrm{t\bar{t}}$) production cross section at $\sqrt{s} = 13~\mathrm{TeV}$. The scale dependence of $m_\mathrm{t}$ is extracted as a function of the invariant mass of the $\mathrm{t\bar{t}}$ system, up to an energy scale of about $0.5~\mathrm{TeV}$. The observed running is found to be in good agreement with the three-loop solution of the renormalisation group equations of quantum chromodynamics.