The $B\to K^*$ form factors on the lattice

Akaki Rusetsky (Bonn U.; Andria Agadjanov (Bonn U.; Bonn U.; Forschungszentrum; HISKP; HISKP); IAS; IPN); JCHP; Julich

The Bto K^* form factors on the lattice

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arxiv 1605.03386 v1 pith:DID7OIA7 submitted 2016-05-11 hep-lat hep-ph

The Bto K^* form factors on the lattice

Andria Agadjanov (Bonn U. , Bonn U. , HISKP) , V\'eronique Bernard (Orsay , IPN) , Ulf-G. Mei{\ss}ner (Bonn U. , HISKP , IAS

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Julich Forschungszentrum JCHP Julich) Akaki Rusetsky (Bonn U.

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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.

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