Complementarity of the constraints on new physics from ${B}_{s}\ensuremath{\rightarrow}{\ensuremath{\mu}}^{\mathbf{+}}{\ensuremath{\mu}}^{\mathbf{\ensuremath{-}}}$ and from $B\ensuremath{\rightarrow}K{\ensuremath{\ell}}^{\mathbf{+}}{\ensuremath{\ell}}^{\mathbf{\ensuremath{-}}}$ decays

Complementarity of the constraints on new physics from $B_{s} \to μ^{+} μ^{-}$ and from $B \to K ℓ^{+} ℓ^{-}$ decays

Damir Bečirević, Nejc Košnik, Federico Mescia, and Elia Schneider

Phys. Rev. D 86, 034034 – Published 31 August 2012

Abstract

We discuss the advantages of combining the experimental bound on $Br (B_{s} \to μ^{+} μ^{-})$ and the measured $Br (B \to K ℓ^{+} ℓ^{-})$ to get the model-independent constraints on physics beyond the Standard Model. Since the two decays give complementary information, one can study not only the absolute values of the Wilson coefficients that are zero in the Standard Model, but also their phases. To identify the sector in which the new physics might appear, information about the shapes of the transverse asymmetries in $B \to K^{*} ℓ^{+} ℓ^{-}$ at low $q^{2}$ ’s can be particularly useful. We also emphasize the importance of measuring the forward-backward asymmetry in $B \to K ℓ^{+} ℓ^{-}$ decay at large $q^{2}$ ’s.

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Received 5 June 2012

DOI:https://doi.org/10.1103/PhysRevD.86.034034

Authors & Affiliations

Damir Bečirević¹, Nejc Košnik², Federico Mescia³, and Elia Schneider⁴

¹Laboratoire de Physique Théorique (Bâtiment 210)*Université Paris Sud, Centre d’Orsay, F-91405 Orsay Cedex, France
²Laboratoire de l’Accélérateur Linéaire, Centre d’Orsay, Université de Paris-Sud XI, B.P. 34, Bâtiment 200, 91898 Orsay Cedex, France, and J. Stefan Institute, Jamova 39, P. O. Box 3000, 1001 Ljubljana, Slovenia
³Departament d’Estructura i Constituents de la Matèria and Institut de Ciències del Cosmos (ICCUB), Universitat de Barcelona, 08028 Barcelona, Spain
⁴Dipartimento di Fisica, Università degli Studi di Trento, and INFN Gruppo collegato di Trento Via Sommarive 14, Povo (Trento) I-38123, Italy

^*Laboratoire de Physique Théorique est une unité mixte de recherche du CNRS, UMR 8627, Orsay Cedex, France.

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Vol. 86, Iss. 3 — 1 August 2012

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Physical Review D

covering particles, fields, gravitation, and cosmology

Complementarity of the constraints on new physics from $B_{s} \to μ^{+} μ^{-}$ and from $B \to K ℓ^{+} ℓ^{-}$ decays

Damir Bečirević, Nejc Košnik, Federico Mescia, and Elia Schneider

Phys. Rev. D 86, 034034 – Published 31 August 2012

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Physical Review D

covering particles, fields, gravitation, and cosmology

Complementarity of the constraints on new physics from Bs→μ+μ− and from B→Kℓ+ℓ− decays

Damir Bečirević, Nejc Košnik, Federico Mescia, and Elia Schneider

Phys. Rev. D 86, 034034 – Published 31 August 2012

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Complementarity of the constraints on new physics from $B_{s} \to μ^{+} μ^{-}$ and from $B \to K ℓ^{+} ℓ^{-}$ decays