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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

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

Swansea University Author: Chris Allton

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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