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

Michele Della Morte, Nicolas Garron, Mauro Papinutto, Rainer Sommer

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

Resumé

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.
OriginalsprogUdefineret/Ukendt
TidsskriftJHEP
ISSN1126-6708
DOI
StatusUdgivet - 28. sep. 2006

Bibliografisk note

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

Emneord

  • hep-ph
  • hep-lat

Citer dette

Morte, Michele Della ; Garron, Nicolas ; Papinutto, Mauro ; Sommer, Rainer. / Heavy Quark Effective Theory computation of the mass of the bottom quark. I: JHEP. 2006.
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Heavy Quark Effective Theory computation of the mass of the bottom quark. / Morte, Michele Della; Garron, Nicolas; Papinutto, Mauro; Sommer, Rainer.

I: JHEP, 28.09.2006.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - Heavy Quark Effective Theory computation of the mass of the bottom quark

AU - Morte, Michele Della

AU - Garron, Nicolas

AU - Papinutto, Mauro

AU - Sommer, Rainer

N1 - 34 pages, 9 figures, 12 tables references added and minor corrections

PY - 2006/9/28

Y1 - 2006/9/28

N2 - 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.

AB - 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.

KW - hep-ph

KW - hep-lat

U2 - 10.1088/1126-6708/2007/01/007

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JO - Journal of High Energy Physics (Online)

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SN - 1126-6708

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