Short Distance Coefficients and the Vanishing of the Lepton Asymmetry in $B\to V\ell^+\ell^-$

Details Short Distance Coefficients and the Vanishing of the Lepton Asymmetry in $B\to V\ell^+\ell^-$ Short Distance Coefficients and the Vanishing of the Lepton Asymmetry in $B\to V\ell^+\ell^-$

1997-10-30

arxiv.org/abs/hep-ph/9710550v1

Phys.Rev. D57 (1998) 4254-4257

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, LaTeX, 1 postscript figure

Scientific paper

10.1103/PhysRevD.57.4254

We derive a condition the short distance coefficients governing $b\to (s,d)\ell^+\ell^-$ transitions must satisfy in order for the forward-backward asymmetry to vanish in the exclusive modes $B\to (K^*,\rho)\ell^+\ell^-$. This relation, which is satisfied in the standard model, involves the coefficient entering in $b\to s\gamma$ transitions as well as one of the additional Wilson coefficients present in the leptonic modes. We show that the resulting relation is largely free of hadronic uncertainties, thus constituting a reliable test of the standard model in exclusive rare B decays.

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