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Lattice calculation of D- and B-meson semileptonic decays, using the clover action at β = 6.0 on APE / N. Cabibbo, F. Rapuano, A. Vladikas, S. Cabasino, G. Martinelli, G.M. Todesco, V. Lubicz, M. Crisafulli, C. Battista, P.S. Paolucci, R. Sarno, M. Torelli, P. Vicini, A. Bartoloni, N. Stella, E. Panizzi, Chris Allton

Physics Letters B, Volume: 345, Issue: 4, Pages: 513 - 523

Swansea University Author: Chris Allton

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Abstract

We present the results of a high statistics lattice calculation of hadronic form factors relevant for $D-$ and $B-$meson semi-leptonic decays into light pseudoscalar and vector mesons. The results have been obtained by averaging over 170 gauge field configurations, generated in the quenched approxim...

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Published in: Physics Letters B
ISSN: 03702693
Published: 1995
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa28465
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Abstract: We present the results of a high statistics lattice calculation of hadronic form factors relevant for $D-$ and $B-$meson semi-leptonic decays into light pseudoscalar and vector mesons. The results have been obtained by averaging over 170 gauge field configurations, generated in the quenched approximation, at $\beta=6.0$, on a $18~3 \times 64$ lattice, using the $O(a)$-improved SW-Clover action.From the study of the matrix element $<K~-\vert J_\mu \vert D~0>$, we obtain $f_+ (0)=0.78\pm 0.08$ and from the matrix element $<\bar K~{* 0}\vert J_\mu \vert D~+>$ we obtain $V(0)=1.08\pm 0.22$, $A_1(0)=0.67\pm 0.11$ and $A_2(0)=0.49\pm 0.34$. We also obtain the ratios $V(0)/A_1(0)=1.6\pm 0.3$ and $A_2(0)/A_1(0)= 0.7\pm 0.4$. Our predictions for the different form factors are in good agreement with the experimental data, although, in the case of $A_2(0)$, the errors are still too large to draw any firm conclusion. With the help of the Heavy Quark Effective Theory (HQET) we have also extrapolated the lattice results to $B$-meson decays. The form factors follow a behaviour compatible with the HQET predictions. Our results are in agreement with a previous lattice calculation, performed at $\beta=6.4$, using the standard Wilson action.
College: College of Science
Issue: 4
Start Page: 513
End Page: 523