∣Vcb∣|V_{cb}| from OPE Sum Rules for Heavy Flavor Transitions

preprint1994arXivOpen access

Abstract

We derive a model-independent upper bound for the axial-vector form factor of the $B\ra D^*$ transition at zero recoil, $F_{B\ra D^*}$. The form factor turns out to be noticeably less than unity. The deviation of $F_{B\ra D^*}$ from unity is larger than previously anticipated. Using our estimate we extract ∣Vcb∣|V_{cb}| from the measured exclusive rate of $B\ra D^* lν$ extrapolated to the point of zero recoil. The central `` exclusive" value of ∣Vcb∣|V_{cb}| is in agreement with the value obtained from the inclusive semileptonic width $Γ(B\ra X_c lν)$. We argue that the theoretical uncertainty in determining ∣Vcb∣|V_{cb}| from the total inclusive width is significantly reduced if a constraint on the quark mass difference mb−mcm_b - m_c stemming from the heavy quark expansion is taken into account.

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