Rare B meson decays on the lattice
Helmholtz-Institut für Strahlen- und Kernphysik (Theorie), Bethe Center for Theoretical Physics, Universität Bonn, D-53115 Bonn, Germany
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Published online: 22 March 2017
We discuss a framework for the measurement of the B → K* transition form factors in lattice simulations, when the K* eventually decays. The possible mixing of πK and ηK states is considered. We reproduce the two-channel analogue of the Lellouch-Lüscher formula, which allows one to extract the B → K*l+l− decay amplitude in the low-recoil region. Since the K* is a resonance, we provide a procedure to determine the form factors at the complex pole position in a process-independent manner. The infinitely-narrow width approximation of the results is also studied.
© The Authors, published by EDP Sciences, 2017
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