Abstract

We discuss the possibility to measure in present experiments, especially LHCb, the non leptonic decay branching ratio B→D′πB \to D' π, and emphasize phenomenological implications on B→D′lνB \to D' l ν semileptonic decay. We have estimated by lattice QCD the D′D' decay constant fD′f_{D'} that parameterizes the D′D' emission contribution to the Class-III non leptonic decay B−→D0π−B^- \to D^0 π^-. In addition, we provide a new estimate of the decay constants fDs,qf_{D_{s,q}} which read fDs=252(3)f_{D_{s}}=252(3) MeV and fDs/fD=1.23(1)(1)f_{D_{s}}/f_{D}=1.23(1)(1).

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