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The continuum limit of fB from the lattice in the static approximation

C.R. Allton, Chris Allton Orcid Logo

Nuclear Physics B, Volume: 437, Issue: 3, Pages: 641 - 663

Swansea University Author: Chris Allton Orcid Logo

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DOI (Published version): 10.1016/0550-3213(94)00591-2

Abstract

We present an analysis of the continuum extrapolation of $f_B$ in the static approximation from lattice data. The method described here aims to uncover the systematic effects which enter in this extrapolation and has not been described before. Our conclusions are that we see statistical evidence for...

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 1995
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URI: https://cronfa.swan.ac.uk/Record/cronfa28433
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first_indexed 2016-06-02T18:23:30Z
last_indexed 2018-02-09T05:12:32Z
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spelling 2016-08-08T12:42:11.7761226 v2 28433 2016-06-02 The continuum limit of fB from the lattice in the static approximation de706a260fa1e1e47430693e135f41c7 0000-0003-0795-124X Chris Allton Chris Allton true false 2016-06-02 SPH We present an analysis of the continuum extrapolation of $f_B$ in the static approximation from lattice data. The method described here aims to uncover the systematic effects which enter in this extrapolation and has not been described before. Our conclusions are that we see statistical evidence for scaling of $f_B~{stat}$ for inverse lattice spacings $\gtap 2$ GeV but not for $\ltap 2$ GeV. We observe a lack of {\em asymptotic} scaling for a variety of quantities, including $f_B~{stat}$, at all energy scales considered. This can be associated with finite lattice spacing systematics. Once these effects are taken into account, we obtain a value of 230(35) MeV for $f_B~{stat}$ in the continuum where the error represents uncertainties due to both the statistics and the continuum extrapolation. In this method there is no error due to uncertainties in the renormalization constant connecting the lattice and continuum effective theories. Journal Article Nuclear Physics B 437 3 641 663 05503213 31 12 1995 1995-12-31 10.1016/0550-3213(94)00591-2 http://inspirehep.net/record/378808 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-08-08T12:42:11.7761226 2016-06-02T15:05:51.2715695 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics C.R. Allton 1 Chris Allton 0000-0003-0795-124X 2
title The continuum limit of fB from the lattice in the static approximation
spellingShingle The continuum limit of fB from the lattice in the static approximation
Chris Allton
title_short The continuum limit of fB from the lattice in the static approximation
title_full The continuum limit of fB from the lattice in the static approximation
title_fullStr The continuum limit of fB from the lattice in the static approximation
title_full_unstemmed The continuum limit of fB from the lattice in the static approximation
title_sort The continuum limit of fB from the lattice in the static approximation
author_id_str_mv de706a260fa1e1e47430693e135f41c7
author_id_fullname_str_mv de706a260fa1e1e47430693e135f41c7_***_Chris Allton
author Chris Allton
author2 C.R. Allton
Chris Allton
format Journal article
container_title Nuclear Physics B
container_volume 437
container_issue 3
container_start_page 641
publishDate 1995
institution Swansea University
issn 05503213
doi_str_mv 10.1016/0550-3213(94)00591-2
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
url http://inspirehep.net/record/378808
document_store_str 0
active_str 0
description We present an analysis of the continuum extrapolation of $f_B$ in the static approximation from lattice data. The method described here aims to uncover the systematic effects which enter in this extrapolation and has not been described before. Our conclusions are that we see statistical evidence for scaling of $f_B~{stat}$ for inverse lattice spacings $\gtap 2$ GeV but not for $\ltap 2$ GeV. We observe a lack of {\em asymptotic} scaling for a variety of quantities, including $f_B~{stat}$, at all energy scales considered. This can be associated with finite lattice spacing systematics. Once these effects are taken into account, we obtain a value of 230(35) MeV for $f_B~{stat}$ in the continuum where the error represents uncertainties due to both the statistics and the continuum extrapolation. In this method there is no error due to uncertainties in the renormalization constant connecting the lattice and continuum effective theories.
published_date 1995-12-31T03:34:34Z
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score 11.016235

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