Mass of the bottom quark from Upsilon(1S) at NNNLO: an update

TL;DR

This paper refines the determination of the bottom quark mass using four-loop calculations and updated theoretical relations, resulting in a more precise value of mb(mb) with quantified uncertainties.

Contribution

It provides an updated bottom quark mass measurement incorporating recent four-loop corrections and renormalon subtraction techniques, improving precision over previous estimates.

Findings

mb(mb) = 4222(40) MeV with dominant scale dependence

Inclusion of four-loop coefficient enhances accuracy of mass determination

Effective treatment of charm quark effects in mass relations

Abstract

We update our perturbative determination of MSbar bottom quark mass mb(mb), by including the recently obtained four-loop coefficient in the relation between the pole and MSbar mass. First the renormalon subtracted (RS or RS') mass is determined from the known mass of the Upsilon(1S) meson, where we use the renormalon residue Nm obtained from the asymptotic behavior of the coefficient of the 3-loop static singlet potential. MSbar mass is then obtained using the 4-loop renormalon-free relation between the RS (RS') and MSbar mass. We argue that the effects of the charm quark mass are accounted for by effectively using Nf=3 in the mass relations. The extracted value is mb(mb) = 4222(40) MeV, where the uncertainty is dominated by the renormalization scale dependence.