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Towards a non-perturbative matching of HQET and QCD with dynamical light quarks

We explain how the strategy of solving renormalization problems in HQET non-perturbatively by a matching to QCD in finite volume can be implemented to include dynamical fermions. As a primary application, some elements of an HQET computation of the mass of the b-quark beyond the leading order with N...

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Autores principales: Della Morte, Michele, Fritzsch, Patrick, Heitger, Jochen, Meyer, Harvey B., Simma, Hubert, Sommer, Rainer
Lenguaje:eng
Publicado: 2007
Materias:
Acceso en línea:http://cds.cern.ch/record/1061145
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author Della Morte, Michele
Fritzsch, Patrick
Heitger, Jochen
Meyer, Harvey B.
Simma, Hubert
Sommer, Rainer
author_facet Della Morte, Michele
Fritzsch, Patrick
Heitger, Jochen
Meyer, Harvey B.
Simma, Hubert
Sommer, Rainer
author_sort Della Morte, Michele
collection CERN
description We explain how the strategy of solving renormalization problems in HQET non-perturbatively by a matching to QCD in finite volume can be implemented to include dynamical fermions. As a primary application, some elements of an HQET computation of the mass of the b-quark beyond the leading order with N_f=2 are outlined. In particular, the matching of HQET and QCD requires relativistic QCD simulations in a volume with L ~ 0.5 fm, which will serve to quantitatively determine the heavy quark mass dependence of heavy-light meson observables in the continuum limit of finite-volume two-flavour lattice QCD. As a preparation for the latter, we report on our determination of the renormalization constants and improvement coefficients relating the renormalized current and subtracted bare quark mass in the relevant weak coupling region. The calculation of these coefficients employs a constant physics condition in the Schroedinger functional scheme, where the box size L is fixed by working at a prescribed value of the renormalized coupling.
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institution Organización Europea para la Investigación Nuclear
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spelling cern-10611452019-10-04T11:30:58Zhttp://cds.cern.ch/record/1061145engDella Morte, MicheleFritzsch, PatrickHeitger, JochenMeyer, Harvey B.Simma, HubertSommer, RainerTowards a non-perturbative matching of HQET and QCD with dynamical light quarksParticle Physics - LatticeWe explain how the strategy of solving renormalization problems in HQET non-perturbatively by a matching to QCD in finite volume can be implemented to include dynamical fermions. As a primary application, some elements of an HQET computation of the mass of the b-quark beyond the leading order with N_f=2 are outlined. In particular, the matching of HQET and QCD requires relativistic QCD simulations in a volume with L ~ 0.5 fm, which will serve to quantitatively determine the heavy quark mass dependence of heavy-light meson observables in the continuum limit of finite-volume two-flavour lattice QCD. As a preparation for the latter, we report on our determination of the renormalization constants and improvement coefficients relating the renormalized current and subtracted bare quark mass in the relevant weak coupling region. The calculation of these coefficients employs a constant physics condition in the Schroedinger functional scheme, where the box size L is fixed by working at a prescribed value of the renormalized coupling.We explain how the strategy of solving renormalization problems in HQET non-perturbatively by a matching to QCD in finite volume can be implemented to include dynamical fermions. As a primary application, some elements of an HQET computation of the mass of the b-quark beyond the leading order with N_f=2 are outlined. In particular, the matching of HQET and QCD requires relativistic QCD simulations in a volume with L ~ 0.5 fm, which will serve to quantitatively determine the heavy quark mass dependence of heavy-light meson observables in the continuum limit of finite-volume two-flavour lattice QCD. As a preparation for the latter, we report on our determination of the renormalization constants and improvement coefficients relating the renormalized current and subtracted bare quark mass in the relevant weak coupling region. The calculation of these coefficients employs a constant physics condition in the Schroedinger functional scheme, where the box size L is fixed by working at a prescribed value of the renormalized coupling.arXiv:0710.1188CERN-PH-TH-2007-171MS-TP-07-32MIT-CTP-3878DESY-07-166SFB-CPP-07-61CERN-PH-TH-2007-171MS-TP-07-32MIT-CTP 3878DESY 07-166SFB-CPP-07-61oai:cds.cern.ch:10611452007-10-08
spellingShingle Particle Physics - Lattice
Della Morte, Michele
Fritzsch, Patrick
Heitger, Jochen
Meyer, Harvey B.
Simma, Hubert
Sommer, Rainer
Towards a non-perturbative matching of HQET and QCD with dynamical light quarks
title Towards a non-perturbative matching of HQET and QCD with dynamical light quarks
title_full Towards a non-perturbative matching of HQET and QCD with dynamical light quarks
title_fullStr Towards a non-perturbative matching of HQET and QCD with dynamical light quarks
title_full_unstemmed Towards a non-perturbative matching of HQET and QCD with dynamical light quarks
title_short Towards a non-perturbative matching of HQET and QCD with dynamical light quarks
title_sort towards a non-perturbative matching of hqet and qcd with dynamical light quarks
topic Particle Physics - Lattice
url http://cds.cern.ch/record/1061145
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