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Lattice measurement of the Isgur-Wise functions tau_1/2 and tau_3/2

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arxiv hep-lat/0406031 v1 pith:BUJU5HBJ submitted 2004-06-18 hep-lat hep-ph

classification hep-lathep-ph
keywords isgur-wiselatticemesonsagreeallowscharmedcomputationcompute
verification ladder T0 review T1 audit T2 compute T3 formal
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We propose a method to compute the Isgur-Wise form factors tau_1/2(1) and tau_3/2(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 tau_1/2(1)=0.38(5) and tau_3/2(1)= 0.53(8), with yet unknown systematic errors. These preliminary numbers agree fairly well with theoretical expectation.

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