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 Λ2/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 ≤ 0.5fm, we obtain a renormalization group invariant mass Mb ≤ 6.758(86)GeV or b(b) ≤ 4.347(48)GeV in the scheme. The uncertainty in the computed Λ2/m b terms contributes little to the total error and Λ3/mb 2 terms are negligible. The strategy is promising for full QCD as well as for other B-physics observables. © SISSA 2007.
Heavy quark effective theory computation of the mass of the bottom quark / Michele Della, Morte; Garron, Nicolas; Papinutto, MAURO LUCIO; Sommer, Rainer. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2007:1(2007), pp. 007-007. [10.1088/1126-6708/2007/01/007]
Heavy quark effective theory computation of the mass of the bottom quark
PAPINUTTO, MAURO LUCIO;
2007
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 Λ2/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 ≤ 0.5fm, we obtain a renormalization group invariant mass Mb ≤ 6.758(86)GeV or b(b) ≤ 4.347(48)GeV in the scheme. The uncertainty in the computed Λ2/m b terms contributes little to the total error and Λ3/mb 2 terms are negligible. The strategy is promising for full QCD as well as for other B-physics observables. © SISSA 2007.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
