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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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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
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa28439
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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(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
College: College of Science
Issue: 2
Start Page: 675
End Page: 695