Non-perturbative renormalization of the static axial current in two-flavour QCD

Michele Della Morte, Patrick Fritzsch, Jochen Heitger

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

Resumé

We perform the non-perturbative renormalization of matrix elements of the static-light axial current by a computation of its scale dependence in lattice QCD with two flavours of massless O(a) improved Wilson quarks. The regularization independent factor that relates any running renormalized matrix element of the axial current in the static effective theory to the renormalization group invariant one is evaluated in the Schroedinger functional scheme, where in this case we find a significant deviation of the non-perturbative running from the perturbative prediction. An important technical ingredient to improve the precision of the results consists in the use of modified discretizations of the static quark action introduced earlier by our collaboration. As an illustration how to apply the renormalization of the static axial current presented here, we connect the bare matrix element of the current to the B_s-meson decay constant in the static approximation for one value of the lattice spacing, a ~ 0.08 fm, employing large-volume N_f=2 data at beta=5.3.
OriginalsprogUdefineret/Ukendt
TidsskriftJHEP
ISSN1126-6708
DOI
StatusUdgivet - 30. nov. 2006

Bibliografisk note

33 pages including figures and tables, latex2e, uses JHEP3.cls; version published in JHEP, small additions, results unchanged

Emneord

  • hep-lat

Citer dette

@article{2d1f8a8107774c6fa5695f5b0e46676d,
title = "Non-perturbative renormalization of the static axial current in two-flavour QCD",
abstract = "We perform the non-perturbative renormalization of matrix elements of the static-light axial current by a computation of its scale dependence in lattice QCD with two flavours of massless O(a) improved Wilson quarks. The regularization independent factor that relates any running renormalized matrix element of the axial current in the static effective theory to the renormalization group invariant one is evaluated in the Schroedinger functional scheme, where in this case we find a significant deviation of the non-perturbative running from the perturbative prediction. An important technical ingredient to improve the precision of the results consists in the use of modified discretizations of the static quark action introduced earlier by our collaboration. As an illustration how to apply the renormalization of the static axial current presented here, we connect the bare matrix element of the current to the B_s-meson decay constant in the static approximation for one value of the lattice spacing, a ~ 0.08 fm, employing large-volume N_f=2 data at beta=5.3.",
keywords = "hep-lat",
author = "Morte, {Michele Della} and Patrick Fritzsch and Jochen Heitger",
note = "33 pages including figures and tables, latex2e, uses JHEP3.cls; version published in JHEP, small additions, results unchanged",
year = "2006",
month = "11",
day = "30",
doi = "10.1088/1126-6708/2007/02/079",
language = "Udefineret/Ukendt",
journal = "Journal of High Energy Physics (Online)",
issn = "1126-6708",
publisher = "Heinemann",

}

Non-perturbative renormalization of the static axial current in two-flavour QCD. / Morte, Michele Della; Fritzsch, Patrick; Heitger, Jochen.

I: JHEP, 30.11.2006.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - Non-perturbative renormalization of the static axial current in two-flavour QCD

AU - Morte, Michele Della

AU - Fritzsch, Patrick

AU - Heitger, Jochen

N1 - 33 pages including figures and tables, latex2e, uses JHEP3.cls; version published in JHEP, small additions, results unchanged

PY - 2006/11/30

Y1 - 2006/11/30

N2 - We perform the non-perturbative renormalization of matrix elements of the static-light axial current by a computation of its scale dependence in lattice QCD with two flavours of massless O(a) improved Wilson quarks. The regularization independent factor that relates any running renormalized matrix element of the axial current in the static effective theory to the renormalization group invariant one is evaluated in the Schroedinger functional scheme, where in this case we find a significant deviation of the non-perturbative running from the perturbative prediction. An important technical ingredient to improve the precision of the results consists in the use of modified discretizations of the static quark action introduced earlier by our collaboration. As an illustration how to apply the renormalization of the static axial current presented here, we connect the bare matrix element of the current to the B_s-meson decay constant in the static approximation for one value of the lattice spacing, a ~ 0.08 fm, employing large-volume N_f=2 data at beta=5.3.

AB - We perform the non-perturbative renormalization of matrix elements of the static-light axial current by a computation of its scale dependence in lattice QCD with two flavours of massless O(a) improved Wilson quarks. The regularization independent factor that relates any running renormalized matrix element of the axial current in the static effective theory to the renormalization group invariant one is evaluated in the Schroedinger functional scheme, where in this case we find a significant deviation of the non-perturbative running from the perturbative prediction. An important technical ingredient to improve the precision of the results consists in the use of modified discretizations of the static quark action introduced earlier by our collaboration. As an illustration how to apply the renormalization of the static axial current presented here, we connect the bare matrix element of the current to the B_s-meson decay constant in the static approximation for one value of the lattice spacing, a ~ 0.08 fm, employing large-volume N_f=2 data at beta=5.3.

KW - hep-lat

U2 - 10.1088/1126-6708/2007/02/079

DO - 10.1088/1126-6708/2007/02/079

M3 - Tidsskriftartikel

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

SN - 1126-6708

ER -