Lattice measurement of the Isgur–Wise functions τ1/2 and τ3/2<

Abstract

We propose a method to compute the Isgur-Wise form factors τ 1/2 (1) and τ 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 τ 1/2 (1) = 0.38(5) and τ 3/2 (1) = 0.53 (8), with yet unknown systematic errors. These preliminary numbers agree fairly well with theoretical expectation.PACS: 12.38.Gc (Lattice QCD calculations), 12.39.Hg (Heavy quark effective theory), 13.20.He (Leptonic/semileptonic decays of bottom mesons).

B→D*at zero recoil revisited

“…This principal question can and should be verified on the lattice. This will complement already available evidence from preliminary lattice data [17] as well as from the successful experimental confirmation [18] in nonleptonic B decays of the predicted 3/2-dominance.…”

Semileptonic B decays into even parity charmed mesons

“…It is very simple to obtain their scaling laws in the limit of heavy quark masses. Following the above method we obtain [24] where…”

B\rightarrow D^{\prime }_0 (D^{\prime }_1)\ell \bar{\nu } decays in HQEFT

“…Though not confirmed yet, the B → D 0 ν decay ratio has been obtained recently by BELLE [9]. On the other hand, these decays are studied by theorists via different approaches, among which are the operator product expansion (OPE) [10,11], lattice QCD [12] and quark models [13,14]. The QCD sum rule method is also applied to calculate the form factors.…”