The B→K⁎ form factors on the lattice

The extraction of the B→K⁎ transition form factors from lattice data is studied, applying non-relativistic effective field theory in a finite volume. The possible mixing of πK and ηK states is taken into account. The two-channel analogue of the Lellouch–Lüscher formula is reproduced. Due to the reso...

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Main Authors: Andria Agadjanov, Véronique Bernard, Ulf-G. Meißner, Akaki Rusetsky
Format: Article
Language:English
Published: Elsevier 2016-09-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321316301882
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author Andria Agadjanov
Véronique Bernard
Ulf-G. Meißner
Akaki Rusetsky
author_facet Andria Agadjanov
Véronique Bernard
Ulf-G. Meißner
Akaki Rusetsky
author_sort Andria Agadjanov
collection DOAJ
description The extraction of the B→K⁎ transition form factors from lattice data is studied, applying non-relativistic effective field theory in a finite volume. The possible mixing of πK and ηK states is taken into account. The two-channel analogue of the Lellouch–Lüscher 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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spelling doaj.art-6e06c974543342b6b7c2d59b5963741e2022-12-21T23:54:47ZengElsevierNuclear Physics B0550-32131873-15622016-09-01910C38740910.1016/j.nuclphysb.2016.07.005The B→K⁎ form factors on the latticeAndria Agadjanov0Véronique Bernard1Ulf-G. Meißner2Akaki Rusetsky3Helmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität Bonn, D-53115 Bonn, GermanyInstitut de Physique Nucléaire, UMR 8608, CNRS, Univ. Paris-Sud, Université Paris-Saclay, F-91406 Orsay Cedex, FranceHelmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität Bonn, D-53115 Bonn, GermanyHelmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität Bonn, D-53115 Bonn, GermanyThe extraction of the B→K⁎ transition form factors from lattice data is studied, applying non-relativistic effective field theory in a finite volume. The possible mixing of πK and ηK states is taken into account. The two-channel analogue of the Lellouch–Lüscher 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.http://www.sciencedirect.com/science/article/pii/S0550321316301882
spellingShingle Andria Agadjanov
Véronique Bernard
Ulf-G. Meißner
Akaki Rusetsky
The B→K⁎ form factors on the lattice
Nuclear Physics B
title The B→K⁎ form factors on the lattice
title_full The B→K⁎ form factors on the lattice
title_fullStr The B→K⁎ form factors on the lattice
title_full_unstemmed The B→K⁎ form factors on the lattice
title_short The B→K⁎ form factors on the lattice
title_sort b k form factors on the lattice
url http://www.sciencedirect.com/science/article/pii/S0550321316301882
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