$B \to K^* + γ$ and $B_s \to φ+ γ$ on the Lattice

Physics – High Energy Physics – High Energy Physics - Lattice

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13 pages (Latex), Wash. U. HEP/93-35. (Revised: we have corrected and extended the table of phenomenological results for $R_{K

Scientific paper

10.1103/PhysRevLett.72.1402

A lattice calculation of the form factors that determine the ``hadronization ratios'', such as $R_{K^*}$ and $R_{\phi}$, where $R_{K^*} \equiv [\Gamma ($B \to K^* \gamma$)/\Gamma(b \to s \gamma)]$, is presented in the quenched approximation. Lattice data shows strong evidence for the scaling law suggested by heavy quark symmetry for one of the form factors ({\it i.e.}\ $T_2$). The data also gives strong support for the simple pole ansatz for the $q^2$ dependence of $T_2$ in the range of available $q^2$. We thus find $T_2(0) = .10 \pm.01\pm.03$ yielding $R_{K^*} =(6.0\pm1.2\pm3.4)\%$; we also find $R_{\phi}=(6.6\pm1.3\pm3.7)\%$.

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