Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1994-07-19
Phys.Rev. D51 (1995) 4955-4970
Physics
High Energy Physics
High Energy Physics - Lattice
41 pages + 12 figures. 1 LaTeX file (requires revtex.sty, aps.sty, aps12.sty and epsf.sty) and 1 uuencoded file of postscript
Scientific paper
10.1103/PhysRevD.51.4955
We calculate the leading-order matrix element for exclusive decays of $b \to s\gamma$ in the quenched approximation of lattice QCD on a $24^3\times48$ lattice at $\beta=6.2$, using an O(a)-improved fermion action. The matrix element is used to extract the on-shell form factor $T_1(q^2=0)$ for $B \to K^*\gamma$ and $B_s \to \phi\gamma$, using two different assumptions about the $q^2$ dependence of the form factors for these decays. For $B \to K^*\gamma$, $T_1(q^2=0)$ is determined to be $0.159^{+34}_{-33}\pm 0.067$ or $0.124^{+20}_{-18} \pm 0.022$ in the two cases. We find the results to be consistent (in the Standard Model) with the CLEO experimental branching ratio of $BR(B\to K^*\gamma) = (4.5 \pm 1.5 \pm 0.9) \times 10^{-5}$.
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