Measurement of the Bˉ→Dℓνˉ\bar{B}\to D\ell\barν Partila Width and Form Factor Parameters

preprint1997arXivOpen access

Abstract

We have studied the decay Bˉ→Dℓνˉ\bar{B} \to D\ell\barν, where ℓ=eorμ\ell=e or μ. From a fit to the differential decay rate dΓ/dwdΓ/dw we measure the rate normalization FD(1)∣Vcb∣{\cal F}_D(1)|V_{cb}| and form factor slope ρ^D2\hatρ^2_D, and, using measured values of τBτ_B, find Γ(Bˉ→Dℓνˉ)=(12.0±0.9±2.1)ns−1Γ(\bar{B} \to D\ell\barν) = (12.0 \pm 0.9 \pm 2.1) ns^{-1}. The resulting branching fractions are B(Bˉ0→D+ℓ−νˉ)=(1.87±0.15±0.32){\cal B}(\bar{B}^0 \to D^+\ell^-\barν)=(1.87 \pm 0.15 \pm 0.32)% and B(B−→D0ℓ−νˉ)=(1.94±0.15±0.34){\cal B}(B^- \to D^0\ell^-\barν)=(1.94 \pm 0.15 \pm 0.34)%. The form factor parameters are in agreement with those measured in Bˉ→D∗ℓνˉ\bar{B} \to D^*\ell\barν decays, as predicted by heavy quark effective theory.

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