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Semi-leptonic decays of heavy flavours on a fine grained lattice

A. Abada, O. Pene, K. Schilling, Christopher T. Sachrajda, D.B. Carpenter, G. Martinelli, V. Lubicz, S. Gusken, R. Sommer, M. Crisafulli, G. Siegert, P. Hernandez, Philippe Boucaud, Chris Allton Orcid Logo

Nuclear Physics B, Volume: 416, Issue: 2, Pages: 675 - 695

Swansea University Author: Chris Allton Orcid Logo

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DOI (Published version): 10.1016/0550-3213(94)90327-1

Abstract

We present the results of a numerical calculation of semi-leptonic form factors relevant for heavy flavour meson decays into light mesons, at $\beta=6.4$ on a $24~3 \times 60$ lattice, using the Wilson action in the quenched approximation. We obtain $f~+_K(0)=0.65\pm 0.18$, $V(0)=0.95\pm 0.34$, $A_1...

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 1994
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URI: https://cronfa.swan.ac.uk/Record/cronfa28439
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spelling 2016-08-08T12:31:33.3505846 v2 28439 2016-06-02 Semi-leptonic decays of heavy flavours on a fine grained lattice de706a260fa1e1e47430693e135f41c7 0000-0003-0795-124X Chris Allton Chris Allton true false 2016-06-02 SPH We present the results of a numerical calculation of semi-leptonic form factors relevant for heavy flavour meson decays into light mesons, at $\beta=6.4$ on a $24~3 \times 60$ lattice, using the Wilson action in the quenched approximation. We obtain $f~+_K(0)=0.65\pm 0.18$, $V(0)=0.95\pm 0.34$, $A_1(0)=0.63\pm 0.14 $ and $A_2(0)=0.45\pm 0.33 $. We also obtain $A_1(q~2_{max})=0.62\pm 0.09$, $V(0)/A_1(0)=1.5\pm 0.28 $ and $A_2(0)/A_1(0)=0.7\pm 0.4$. The results for $f~+_K(0)$, $V(0)$ and $A_1(0)$ are consistent with the experimental data and with previous lattice determinations with larger lattice spacings. In the case of $A_2(0)$ the errors are too large to draw any firm conclusion. We have also extrapolated the form factors to the B meson, showing a behaviour compatible with the predictions by the heavy quark effective theory (HQET). Within large uncertainties, our results suggest that $A_2/A_1$ increases with the heavy quark mass. We also get very rough estimates for the partial decay widths $B \rightarrow \pi l \nu_l)=\vert V_{ub} \vert~2 (12 \pm 8) 10~{12} s~{-1}$ and $\Gamma(B \rightarrow \rho l \nu_l)=\vert V_{ub} \vert~2 (13 \pm12) 10~{12} s~{-1}$, which can be used to give upper bounds on the rates Journal Article Nuclear Physics B 416 2 675 695 05503213 31 12 1994 1994-12-31 10.1016/0550-3213(94)90327-1 http://inspirehep.net/record/357010 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-08-08T12:31:33.3505846 2016-06-02T15:05:55.5303968 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics A. Abada 1 O. Pene 2 K. Schilling 3 Christopher T. Sachrajda 4 D.B. Carpenter 5 G. Martinelli 6 V. Lubicz 7 S. Gusken 8 R. Sommer 9 M. Crisafulli 10 G. Siegert 11 P. Hernandez 12 Philippe Boucaud 13 Chris Allton 0000-0003-0795-124X 14
title Semi-leptonic decays of heavy flavours on a fine grained lattice
spellingShingle Semi-leptonic decays of heavy flavours on a fine grained lattice
Chris Allton
title_short Semi-leptonic decays of heavy flavours on a fine grained lattice
title_full Semi-leptonic decays of heavy flavours on a fine grained lattice
title_fullStr Semi-leptonic decays of heavy flavours on a fine grained lattice
title_full_unstemmed Semi-leptonic decays of heavy flavours on a fine grained lattice
title_sort Semi-leptonic decays of heavy flavours on a fine grained lattice
author_id_str_mv de706a260fa1e1e47430693e135f41c7
author_id_fullname_str_mv de706a260fa1e1e47430693e135f41c7_***_Chris Allton
author Chris Allton
author2 A. Abada
O. Pene
K. Schilling
Christopher T. Sachrajda
D.B. Carpenter
G. Martinelli
V. Lubicz
S. Gusken
R. Sommer
M. Crisafulli
G. Siegert
P. Hernandez
Philippe Boucaud
Chris Allton
format Journal article
container_title Nuclear Physics B
container_volume 416
container_issue 2
container_start_page 675
publishDate 1994
institution Swansea University
issn 05503213
doi_str_mv 10.1016/0550-3213(94)90327-1
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/357010
document_store_str 0
active_str 0
description We present the results of a numerical calculation of semi-leptonic form factors relevant for heavy flavour meson decays into light mesons, at $\beta=6.4$ on a $24~3 \times 60$ lattice, using the Wilson action in the quenched approximation. We obtain $f~+_K(0)=0.65\pm 0.18$, $V(0)=0.95\pm 0.34$, $A_1(0)=0.63\pm 0.14 $ and $A_2(0)=0.45\pm 0.33 $. We also obtain $A_1(q~2_{max})=0.62\pm 0.09$, $V(0)/A_1(0)=1.5\pm 0.28 $ and $A_2(0)/A_1(0)=0.7\pm 0.4$. The results for $f~+_K(0)$, $V(0)$ and $A_1(0)$ are consistent with the experimental data and with previous lattice determinations with larger lattice spacings. In the case of $A_2(0)$ the errors are too large to draw any firm conclusion. We have also extrapolated the form factors to the B meson, showing a behaviour compatible with the predictions by the heavy quark effective theory (HQET). Within large uncertainties, our results suggest that $A_2/A_1$ increases with the heavy quark mass. We also get very rough estimates for the partial decay widths $B \rightarrow \pi l \nu_l)=\vert V_{ub} \vert~2 (12 \pm 8) 10~{12} s~{-1}$ and $\Gamma(B \rightarrow \rho l \nu_l)=\vert V_{ub} \vert~2 (13 \pm12) 10~{12} s~{-1}$, which can be used to give upper bounds on the rates
published_date 1994-12-31T03:34:35Z
_version_ 1763751467492048896
score 11.037166

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