Final state rescattering as a contribution to $B \to ργ$

Details Final state rescattering as a contribution to $B \to ργ$ Final state rescattering as a contribution to $B \to ργ$

1996-09-30

arxiv.org/abs/hep-ph/9609530v1

Phys.Rev. D55 (1997) 2657-2662

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, RevTex, 3 figures

Scientific paper

10.1103/PhysRevD.55.2657

We provide a new estimate of the long-distance component to the radiative transition $B \to \rho \gamma$. Our mechanism involves the soft-scattering of on-shell hadronic products of nonleptonic $B$ decay, as in the chain $B \to \rho\rho \to \rho\gamma$. We employ a phenomenological fit to scattering data to estimate the effect. The specific intermediate states considered here modify the $B \to \rho \gamma$ decay rate at roughly the $5 \to 8%$ level, although the underlying effect has the potential to be larger. Contrary to other mechanisms of long distance physics which have been discussed in the literature, this yields a non-negligible modification of the $B^0 \to \rho^0 \gamma$ channel and hence will provide an uncertainty in the extraction of $V_{td}$. This mechanism also affects the isospin relation between the rates for $B^- \to \rho^-\gamma$ and $B^0 \to \rho^0 \gamma$ and may generate CP asymmetries at experimentally observable levels.

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