B decays to radially excited D


Abstract in English

We discuss the possibility to measure in present experiments, especially LHCb, the non leptonic decay branching ratio $B to D pi$, and emphasize phenomenological implications on $B to D l u$ semileptonic decay. We have estimated by lattice QCD the $D$ decay constant $f_{D}$ that parameterizes the $D$ emission contribution to the Class-III non leptonic decay $B^- to D^0 pi^-$. In addition, we provide a new estimate of the decay constants $f_{D_{s,q}}$ which read $f_{D_{s}}=252(3)$ MeV and $f_{D_{s}}/f_{D}=1.23(1)(1)$.

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