Renormalon-based resummation for B(D) Mesons

TL;DR

This paper employs renormalon-based resummation techniques to accurately determine the pole masses of b and c quarks from their fMSfMS masses, incorporating a holomorphic QCD coupling to mitigate Landau pole ambiguities.

Contribution

It introduces a novel application of renormalon-based resummation with a holomorphic QCD coupling to improve heavy quark mass and parameter evaluations.

Findings

Accurate pole mass values for b and c quarks obtained.

Reevaluation of the chromomagnetic Wilson coefficient and hadronic parameters.

Use of a holomorphic QCD coupling reduces Landau pole ambiguities.

Abstract

We apply a previously developed method of renormalon-based resummation of spacelike and timelike QCD observables, to evaluate of the values of the pole masses $m_q$ of $q=b$ and $c$ quarks, using as input the knowledge of the values of the corresponding ${\overline{\rm MS}}$ masses ${\overline m}_q \equiv {\overline m}_q({\overline m}_q^2)$. The evaluation also uses the knowledge of the first few coefficients of the perturbation expansion of $m_q$ (i.e., of $m_q/{\overline m}_q$), as well as the known renormalon structure of that expansion. In the evaluation, we use the timelike QCD running coupling based on a specific holomorphic spacelike QCD coupling, in order to avoid additional ambiguities due to the Landau poles of the usual perturbative coupling. The principal IR regulator parameter of the coupling is varied in an expected range. We also reevaluate the chromomagnetic Wilson coefficient of heavy quark ${\hat C}(m_q^2)$, and extract values of several corresponding hadronic parameters.