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### The continuum limit of fB from the lattice in the static approximation / C.R. Allton, Chris Allton

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

Swansea University Author:

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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 05503213 1995 https://cronfa.swan.ac.uk/Record/cronfa28433 No Tags, Be the first to tag this record!
first_indexed 2016-06-02T18:23:30Z 2018-02-09T05:12:32Z cronfa28433 SURis 2016-08-08T12:42:11.7761226v2284332016-06-02The continuum limit of fB from the lattice in the static approximationde706a260fa1e1e47430693e135f41c70000-0003-0795-124XChrisAlltonChris Alltontruefalse2016-06-02SPHWe 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 ArticleNuclear Physics B437364166305503213311219951995-12-3110.1016/0550-3213(94)00591-2http://inspirehep.net/record/378808COLLEGE NANMEPhysicsCOLLEGE CODESPHSwansea University2016-08-08T12:42:11.77612262016-06-02T15:05:51.2715695College of SciencePhysicsC.R.Allton1ChrisAllton0000-0003-0795-124X2 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 College of Science Physics C.R. Allton 1 Chris Allton 0000-0003-0795-124X 2 The continuum limit of fB from the lattice in the static approximation The continuum limit of fB from the lattice in the static approximation Chris, Allton The continuum limit of fB from the lattice in the static approximation The continuum limit of fB from the lattice in the static approximation The continuum limit of fB from the lattice in the static approximation The continuum limit of fB from the lattice in the static approximation The continuum limit of fB from the lattice in the static approximation de706a260fa1e1e47430693e135f41c7 de706a260fa1e1e47430693e135f41c7_***_Chris, Allton Chris, Allton C.R. Allton Chris Allton Journal article Nuclear Physics B 437 3 641 1995 Swansea University 05503213 10.1016/0550-3213(94)00591-2 College of Science collegeofscience College of Science collegeofscience College of Science Physics{{{_:::_}}}College of Science{{{_:::_}}}Physics http://inspirehep.net/record/378808 0 0 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. 1995-12-31T03:43:28Z 1711839964805726208 10.823442