A strategy for the computation of m_b including 1/m terms

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

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

Resumé

We consider HQET including the first order correction in 1/m. A strategy for the computation of the b-quark mass is discussed. Only two quantities Phi_1/2 have to be considered in order to match QCD and HQET, since the spin-dependent interaction is easily eliminated due to the spin symmetry of the static theory. Quite simple formulae relate the renormalization group invariant b-quark mass (M_b) to the B-meson mass. All entries in these formulae are non-perturbatively defined and can be computed in the continuum limit of the lattice regularized theory. For the numerically most critical part, we illustrate the cancellation of power divergences by a numerical example. Numerical results for the 1/m correction to M_b, are presented in a companion talk.
OriginalsprogUdefineret/Ukendt
TidsskriftPoS LAT
StatusUdgivet - 22. sep. 2005

Bibliografisk note

Talk presented at Lattice 2005 (Heavy quark physics), 5 pages

Emneord

  • hep-lat

Citer dette

Morte, M. D., Garron, N., Sommer, R., & Papinutto, M. (2005). A strategy for the computation of m_b including 1/m terms. PoS LAT.
Morte, Michele Della ; Garron, Nicolas ; Sommer, Rainer ; Papinutto, Mauro. / A strategy for the computation of m_b including 1/m terms. I: PoS LAT. 2005.
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Morte, MD, Garron, N, Sommer, R & Papinutto, M 2005, 'A strategy for the computation of m_b including 1/m terms', PoS LAT.

A strategy for the computation of m_b including 1/m terms. / Morte, Michele Della; Garron, Nicolas; Sommer, Rainer; Papinutto, Mauro.

I: PoS LAT, 22.09.2005.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

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T1 - A strategy for the computation of m_b including 1/m terms

AU - Morte, Michele Della

AU - Garron, Nicolas

AU - Sommer, Rainer

AU - Papinutto, Mauro

N1 - Talk presented at Lattice 2005 (Heavy quark physics), 5 pages

PY - 2005/9/22

Y1 - 2005/9/22

N2 - We consider HQET including the first order correction in 1/m. A strategy for the computation of the b-quark mass is discussed. Only two quantities Phi_1/2 have to be considered in order to match QCD and HQET, since the spin-dependent interaction is easily eliminated due to the spin symmetry of the static theory. Quite simple formulae relate the renormalization group invariant b-quark mass (M_b) to the B-meson mass. All entries in these formulae are non-perturbatively defined and can be computed in the continuum limit of the lattice regularized theory. For the numerically most critical part, we illustrate the cancellation of power divergences by a numerical example. Numerical results for the 1/m correction to M_b, are presented in a companion talk.

AB - We consider HQET including the first order correction in 1/m. A strategy for the computation of the b-quark mass is discussed. Only two quantities Phi_1/2 have to be considered in order to match QCD and HQET, since the spin-dependent interaction is easily eliminated due to the spin symmetry of the static theory. Quite simple formulae relate the renormalization group invariant b-quark mass (M_b) to the B-meson mass. All entries in these formulae are non-perturbatively defined and can be computed in the continuum limit of the lattice regularized theory. For the numerically most critical part, we illustrate the cancellation of power divergences by a numerical example. Numerical results for the 1/m correction to M_b, are presented in a companion talk.

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Morte MD, Garron N, Sommer R, Papinutto M. A strategy for the computation of m_b including 1/m terms. PoS LAT. 2005 sep 22.