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

Michele Della Morte, Patrick Fritzsch, Jochen Heitger, Harvey B. Meyer, Hubert Simma, Rainer Sommer

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

Resumé

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.
OriginalsprogUdefineret/Ukendt
TidsskriftPoSLAT
StatusUdgivet - 5. okt. 2007

Bibliografisk note

14 pages including figures and tables, latex2e, uses PoS.cls; presented at the XXV International Symposium on Lattice Field Theory, July 30 - August 4 2007, Regensburg, Germany; typo corrected, results unchanged

Emneord

  • hep-lat

Citer dette

Morte, M. D., Fritzsch, P., Heitger, J., Meyer, H. B., Simma, H., & Sommer, R. (2007). Towards a non-perturbative matching of HQET and QCD with dynamical light quarks. PoSLAT.
Morte, Michele Della ; Fritzsch, Patrick ; Heitger, Jochen ; Meyer, Harvey B. ; Simma, Hubert ; Sommer, Rainer. / Towards a non-perturbative matching of HQET and QCD with dynamical light quarks. I: PoSLAT. 2007.
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abstract = "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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Morte, MD, Fritzsch, P, Heitger, J, Meyer, HB, Simma, H & Sommer, R 2007, 'Towards a non-perturbative matching of HQET and QCD with dynamical light quarks', PoSLAT.

Towards a non-perturbative matching of HQET and QCD with dynamical light quarks. / Morte, Michele Della; Fritzsch, Patrick; Heitger, Jochen; Meyer, Harvey B.; Simma, Hubert; Sommer, Rainer.

I: PoSLAT, 05.10.2007.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - Towards a non-perturbative matching of HQET and QCD with dynamical light quarks

AU - Morte, Michele Della

AU - Fritzsch, Patrick

AU - Heitger, Jochen

AU - Meyer, Harvey B.

AU - Simma, Hubert

AU - Sommer, Rainer

N1 - 14 pages including figures and tables, latex2e, uses PoS.cls; presented at the XXV International Symposium on Lattice Field Theory, July 30 - August 4 2007, Regensburg, Germany; typo corrected, results unchanged

PY - 2007/10/5

Y1 - 2007/10/5

N2 - 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.

AB - 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.

KW - hep-lat

M3 - Tidsskriftartikel

JO - PoSLAT

JF - PoSLAT

ER -

Morte MD, Fritzsch P, Heitger J, Meyer HB, Simma H, Sommer R. Towards a non-perturbative matching of HQET and QCD with dynamical light quarks. PoSLAT. 2007 okt 5.