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The $B\to K^*$ form factors on the lattice
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abstract
The extraction of the $B\to K^*$ transition form factors from lattice data is studied, applying non-relativistic effective field theory in a finite volume. The possible mixing of $\pi K$ and $\eta K$ states is taken into account. The two-channel analogue of the Lellouch-L\"uscher formula is reproduced. Due to the resonance nature of the $K^*$, an equation is derived, which allows to determine the form factors at the pole position in a process-independent manner. The infinitely-narrow width approximation of the results is discussed.
Forward citations
Cited by 2 Pith papers
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Light-Cone Sum Rules for $B\to K\pi$ Form Factors and Applications to Rare Decays
P-wave B→Kπ form factors are derived from light-cone sum rules with B-meson distribution amplitudes, and the K* width is shown to produce a universal ~10% form-factor increase, corresponding to a ~20% rate enhancement.
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Analytic decomposition of two-body electroweak processes with left-hand cuts
An on-shell decomposition of 2+J o2 electroweak amplitudes isolates OPE poles, logs, and triangle singularities, leaving only smooth short-distance functions.
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