Heavy Quark Effective Theory computation of the mass of the bottom quark

Details Heavy Quark Effective Theory computation of the mass of the bottom quark Heavy Quark Effective Theory computation of the mass of the bottom quark

2006-09-28

arxiv.org/abs/hep-ph/0609294v4

JHEP 0701:007,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

34 pages, 9 figures, 12 tables references added and minor corrections

Scientific paper

10.1088/1126-6708/2007/01/007

We present a fully non-perturbative computation of the mass of the b-quark in the quenched approximation. Our strategy starts from the matching of HQET to QCD in a finite volume and finally relates the quark mass to the spin averaged mass of the Bs meson in HQET. All steps include the terms of order Lambda^2/Mb. Expanding on [1], we discuss the computation and renormalization of correlation functions at order 1/Mb. With the strange quark mass fixed from the Kaon mass and the QCD scale set through r0=0.5 fm, we obtain a renormalization group invariant mass Mb = 6.758(86) GeV or mb(mb)= 4.347(48) GeV in the MS-bar scheme. The uncertainty in the computed Lambda^2/Mb terms contributes little to the total error and Lambda^3/Mb^2 terms are negligible. The strategy is promising for full QCD as well as for other B-physics observables.

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