$B \to K^* γ$: Penguins on the Lattice

Details $B \to K^* γ$: Penguins on the Lattice $B \to K^* γ$: Penguins on the Lattice

1993-11-03

arxiv.org/abs/hep-lat/9311004v2

Phys.Rev.Lett. 72 (1994) 1398-1401

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages, LaTeX article with 4 epsf-included postscript figures, (uuencoded compressed tarfile). Minor change in form factor d

Scientific paper

We calculate the leading-order matrix element for the decay $B \to K^* \gamma$ in the quenched approximation of lattice QCD on a $24^3 \times 48$ lattice at $\beta=6.2$, using an O(a)-improved fermion action. Extrapolating the quark masses to their physical values we obtain an on-shell form factor of $T_1(q^2=0)=0.15+12-14$, where the errors quoted are purely statistical. We find $T_1$ is approximately independent of the spectator quark mass and extract $T_1(q^2=0)=0.15+5-4$ if this independence is assumed. We compare this with the same form factor derived (in the Standard Model) from the CLEO experimental branching ratio of $BR(B \to K^* \gamma) = (4.5 \pm 1.5 \pm 0.9) \times 10^{-5}$ and find the results to be consistent within statistical errors.

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