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

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

doi:10.22323/1.020.0223

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

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

Deutsches Elektronen-Synchrotron
Forschungszentrum Jülich
Humboldt University of Berlin

Research output: Contribution to journal › Conference article › Research › peer-review

Abstract

We consider HQET including the first order correction in 1/m. A strategy for the computation of the b-quark mass following the scheme (Equation Presented) is discussed. Only two quantities Φ^∗;_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.

Original language	English
Journal	P o S - Proceedings of Science
Volume	20
ISSN	1824-8039
DOIs	https://doi.org/10.22323/1.020.0223
Publication status	Published - 2005
Externally published	Yes
Event	23rd International Symposium on Lattice Field Theory, LAT 2005 - Dublin, Ireland Duration: 25. Jul 2005 → 30. Jul 2005

Conference

Conference	23rd International Symposium on Lattice Field Theory, LAT 2005
Country/Territory	Ireland
City	Dublin
Period	25/07/2005 → 30/07/2005

Funding

∗This work has been supported by the Deutsche Forschungsgemeinschaft (DFG) in SFB Transregio 9 “Computational Particle Physics”. †Speaker.

Documents & Links

10.22323/1.020.0223Licence: CC BY-NC-SA

SDU Link

Check access to the material in SDU Library's search engine

Cite this

@inproceedings{4762eea538b3463c9f7dc8eae88ad855,

title = "A strategy for the computation of mb including 1/m terms",

abstract = "We consider HQET including the first order correction in 1/m. A strategy for the computation of the b-quark mass following the scheme (Equation Presented) is discussed. Only two quantities Φ∗;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.",

keywords = "hep-lat",

author = "\{Della Morte\}, Michele and Nicolas Garron and Rainer Sommer and Mauro Papinutto",

note = "Funding Information: ∗This work has been supported by the Deutsche Forschungsgemeinschaft (DFG) in SFB Transregio 9 “Computational Particle Physics”. †Speaker. Publisher Copyright: {\textcopyright} Copyright owned by the author(s) under the terms of the Creative Commons Attribution-Non Commercial-ShareAlike Licence.; 23rd International Symposium on Lattice Field Theory, LAT 2005 ; Conference date: 25-07-2005 Through 30-07-2005",

year = "2005",

doi = "10.22323/1.020.0223",

language = "English",

volume = "20",

journal = "P o S - Proceedings of Science",

issn = "1824-8039",

publisher = "SISSA",

}

TY - GEN

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

AU - Della Morte, Michele

AU - Garron, Nicolas

AU - Sommer, Rainer

AU - Papinutto, Mauro

N1 - Funding Information: ∗This work has been supported by the Deutsche Forschungsgemeinschaft (DFG) in SFB Transregio 9 “Computational Particle Physics”. †Speaker. Publisher Copyright: © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-Non Commercial-ShareAlike Licence.

PY - 2005

Y1 - 2005

N2 - We consider HQET including the first order correction in 1/m. A strategy for the computation of the b-quark mass following the scheme (Equation Presented) is discussed. Only two quantities Φ∗;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 following the scheme (Equation Presented) is discussed. Only two quantities Φ∗;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.

KW - hep-lat

U2 - 10.22323/1.020.0223

DO - 10.22323/1.020.0223

M3 - Conference article

SN - 1824-8039

VL - 20

JO - P o S - Proceedings of Science

JF - P o S - Proceedings of Science

T2 - 23rd International Symposium on Lattice Field Theory, LAT 2005

Y2 - 25 July 2005 through 30 July 2005

ER -