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

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.

6 pages; presented at ACAT 2016, 18-22 January 2016, UTFSM, Valparaiso, Chile

References in corpus (4)

• Quark mass relations to four-loop order
• Fermionic contributions to the three-loop static potential
• The bottom quark mass from the ${\rm Y}(1S)$ system at NNNLO
• Light quark mass effects in the on-shell renormalization constants

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