Abstract
We compute the b quark mass from dynamical lattice QCD with clover quarks. The calculation is done at a fixed lattice spacing with sea quark masses as low as half the strange quark mass. Our final result is mb¯(mb¯)=4.25(2)(11) GeV, where the first error is statistical and the last error is the systematic uncertainty.
Highlights
The mass of the bottom quark is a fundamental parameter of the standard model [1]
We evaluate the mass of a pseudoscalar heavy-light meson from lattice QCD
We collect some recent results for the mass of the bottom quark from lattice QCD
Summary
To extract the b mass from experiment, QCD corrections must be computed reliably. The different methods of computing the mass of the bottom quark have recently been reviewed by El-Khadra and Luke [2]. It is important to reduce the error on the b quark mass, because it is the cause of the largest uncertainty on the determination of Vub from the total inclusive B meson decay b → ulν. In this paper we use unquenched lattice QCD with static-light mesons to extract mb. The error due to the use of static (leading order HQET) approximation is only of order 30 MeV [4], the static limit has an important role for the phenomenology of determining Vub
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