Chiral Perturbation Theory for $B \rightarrow D^*$ and $B \rightarrow D$ Semileptonic Transition Matrix Elements at Zero Recoil

L. Randall; M. B. Wise

doi:10.1016/0370-2693(93)90057-O

paper

Chiral Perturbation Theory for $B \to D^{*}$ and $B \to D$ Semileptonic Transition Matrix Elements at Zero Recoil

arXiv:hep-ph/9212315 · doi:10.1016/0370-2693(93)90057-O

Abstract

Heavy quark symmetry predicts the value of $B \to D$ and $B \to D^{*}$ transition matrix elements of the current $c ˉ I^_{I^}^{3} ¼ (1 - I^_{5}^{3}) b$ , at zero recoil (where in the rest frame of the $B$ the $D$ or $D^{*}$ is also at rest). We use chiral perturbation theory to compute the leading corrections to these predictions which are generated at low momentum, below the chiral symmetry breaking scale.

10 pages, 1 figure (not included), CALT-68-1844, MIT-CTP-2177

Chiral Perturbation Theory for B→D∗ and B→D Semileptonic Transition Matrix Elements at Zero Recoil

Abstract

Chiral Perturbation Theory for $B \to D^{*}$ and $B \to D$ Semileptonic Transition Matrix Elements at Zero Recoil