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A method for analysing the hadronic resonance contributions in $\bar{B}^{0} \to \bar{K}^{* 0} μ^{+} μ^{-}$ decays is presented. This method uses an empirical model that relies on measurements of the branching fractions and polarisation amplitudes of final states involving $J^{PC} = 1^{- -}$ resonances, relative to the short-distance component, across the full dimuon mass spectrum of $\bar{B}^{0} \to \bar{K}^{* 0} μ^{+} μ^{-}$ transitions. The model is in good agreement with existing calculations of hadronic non-local effects. The effect of this contribution to the angular observables is presented and it is demonstrated how the narrow resonances in the $q^{2}$ spectrum provide a dramatic enhancement to $C P$ -violating effects in the short-distance amplitude. Finally, a study of the hadronic resonance effects on lepton universality ratios, $R_{K^{(*)}}$ , in the presence of new physics is presented.

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Title

An empirical model to determine the hadronic resonance contributions to B ¯ 0 → K ¯ ∗ 0 μ + μ - transitions

Author

Blake, T¹; Egede, U²; Owen, P³; Petridis, K A⁴; Pomery, G⁴

¹ University of Warwick, Coventry, UK
² Imperial College London, London, UK
³ Universität Zürich, Zürich, Switzerland
⁴ Univeristy of Bristol, Bristol, UK

Pages

1-13

Publication year

2018

Publication date

Jun 2018

Publisher

Springer Nature B.V.

ISSN

14346044

e-ISSN

14346052

Source type

Scholarly Journal

Language of publication

English

DOI

https://doi.org/10.1140/epjc/s10052-018-5937-3

ProQuest document ID

2050326159

The European Physical Journal C is a copyright of Springer, (2018). All Rights Reserved., © 2018. This work is published under http://creativecommons.org/licenses/by/4.0 (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.

An empirical model to determine the hadronic resonance contributions to B ¯ 0 → K ¯ ∗ 0 μ + μ - transitions

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