6533b7d2fe1ef96bd125f52b

RESEARCH PRODUCT

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

Antonio Morelos PinedaCesar AyalaGorazd Cvetič

subject

PhysicsHistoryParticle physicsMeson010308 nuclear & particles physicsHigh Energy Physics::LatticeHigh Energy Physics::PhenomenologyFOS: Physical sciences01 natural sciencesBottom quarkRenormalonComputer Science ApplicationsEducationCharm quarkRenormalizationHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)0103 physical sciences010306 general physics

description

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.

https://doi.org/10.1088/1742-6596/762/1/012063