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Report number	hep-lat/9411011 ; BU-HEP-94-29 ; CERN-TH-7484-94 ; ROME-1050-1994 ; SHEP-93-94-30 ; BU-HEP-94-29 ; CERN-TH-7484-94 ; ROMA-1-1050
Title	Lattice Calculation of D- and B-meson Semileptonic Decays, using the Clover Action at beta=6.0 on APE
Author(s)	Allton, C.R. (Rome U. ; INFN, Rome) ; Crisafulli, M. (Rome U. ; INFN, Rome) ; Lubicz, V. (Boston U.) ; Martinelli, G. (Rome U. ; INFN, Rome ; CERN) ; Rapuano, F. (Rome U. ; INFN, Rome ; CERN) ; Stella, N. (Southampton U.) ; Vladikas, A. (Rome U., Tor Vergata ; INFN, Rome) ; Bartoloni, A. (Rome U. ; INFN, Rome) ; Battista, C. (Rome U. ; INFN, Rome) ; Cabasino, S. (Rome U. ; INFN, Rome) ; Cabibbo, N. (Rome U., Tor Vergata ; INFN, Rome) ; Panizzi, E. (Rome U. ; INFN, Rome) ; Paolucci, P.S. (Rome U. ; INFN, Rome) ; Sarno, R. (Rome U. ; INFN, Rome) ; Todesco, G.M. (Rome U. ; INFN, Rome) ; Torelli, M. (Rome U. ; INFN, Rome) ; Vicini, P. (Rome U. ; INFN, Rome)
Affiliation	(CERN)
Publication	1995
Imprint	7 Nov 1994
Number of pages	15
Note	LaTeX, 15 pages, postscript figures attached uuencoded Report-no: BU-HEP 94-29, CERN-TH.7484/94, ROME prep. 94/1050,
In:	Phys. Lett. B 345 (1995) 513-523
DOI	10.1016/0370-2693(94)01629-Q
Subject category	Particle Physics - Lattice
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.
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