Lattice computation of B → D*,D**ℓ ν form factors at finite heavy masses

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We propose a strategy to compute form factors entering the semileptonic decay channel of B mesons into orbitally excited (P wave) D** 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.