Lattice computation of $B\to D^{\ast },D^{\ast \ast }\ell \nu$ form factors at finite heavy masses

Abstract

We propose a strategy to compute form factors entering the semileptonic decay channel of $B$ mesons into orbitally excited (P wave) $D^{\ast \ast }$ charmed mesons on the lattice using, for the first time, realistic charm quarks having a finite mass. We present preliminary results about the extracted transition amplitudes and form factors at different recoils and at three different $b$ quark masses.

Comments: Presented at the XLVIIIth Rencontres de Moriond, QCD and High Energy Interactions session, La Thuile Italy, 9-16 march 2013