Two Higgs doublet models and exclusive decays

Pere Arnan; Damir Bečirević; Federico Mescia; Olcyr Sumensari

doi:10.1140/epjc/s10052-017-5370-z

EPJ

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2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2017) 77: 796
https://doi.org/10.1140/epjc/s10052-017-5370-z

Regular Article - Theoretical Physics

Two Higgs doublet models and $b\rightarrow s$ exclusive decays

Pere Arnan¹, Damir Bečirević², Federico Mescia¹ and Olcyr Sumensari²^,3^*

¹ Departament de Física Quàntica i Astrofísica (FQA), Institut de Ciències del Cosmos (ICCUB), Universitat de Barcelona (UB), Barcelona, Spain
² Laboratoire de Physique Théorique (Bât. 210), CNRS, Univ. Paris-Sud, Université Paris-Saclay, 91405, Orsay, France
³ Instituto de Física, Universidade de São Paulo, C.P. 66.318, São Paulo, 05315-970, Brazil

^* e-mail: olcyr.sumensari@pd.infn.it

Received: 9 September 2017
Accepted: 3 November 2017
Published online: 22 November 2017

Abstract

We computed the leading order Wilson coefficients relevant to all the exclusive $b\rightarrow s\ell ^+\ell ^-$ decays in the framework of the two Higgs doublet model (2HDM) with a softly broken $\mathbb {Z}_2$ symmetry by including the $\mathcal {O}(m_b)$ corrections. We elucidate the issue of appropriate matching between the full and the effective theory when dealing with the (pseudo-)scalar operators for which keeping the external momenta different from zero is necessary. We then make a phenomenological analysis by using the measured ${\mathcal {B}}(B_s\rightarrow \mu ^+\mu ^-)$ and ${\mathcal {B}}(B\rightarrow K \mu ^+\mu ^-)_{\mathrm {high}-q^2}$ , for which the hadronic uncertainties are well controlled, and we discuss their impact on various types of 2HDM. A brief discussion of the decays with $\tau$ -leptons in the final state is provided too.