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

Michele Della Morte·Nicolas Garron·Mauro Papinutto·Rainer Sommer
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Abstract

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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Michele Della Morte, Nicolas Garron, Mauro Papinutto, Rainer Sommer. 2008-07-08. Heavy Quark Effective Theory computation of the mass of the bottom quark. https://doi.org/10.1088/1126-6708%2F2007%2F01%2F007

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