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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 Orcid Logo

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

Swansea University Author: Chris Allton Orcid Logo

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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