Lattice measurement of the Isgur-Wise functions tau1/2 and tau3/2

Abstract

We propose a method to compute the Isgur-Wise form factors tau1/2(1) and tau3/2(1) for the decay of B mesons into orbitally excited (P wave) D** charmed mesons on the lattice in the static limit. We also present the result of an exploratory numerical simulation which shows that the signal/noise ratio allows for a more dedicated computation. We find tau1/2(1)=0.38(5) and tau3/2(1)= 0.53(8), with yet unknown systematic errors. These preliminary numbers agree fairly well with theoretical expectation.

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