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

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.
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European Physical Journal C: Particles and Fields, Springer Verlag (Germany), 2017, 77 (11), pp.796. 〈10.1140/epjc/s10052-017-5370-z〉
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https://hal.archives-ouvertes.fr/hal-01669637
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Soumis le : mercredi 20 décembre 2017 - 23:48:56
Dernière modification le : lundi 17 décembre 2018 - 16:14:17

### Citation

Pere Arnan, Damir Bečirević, Federico Mescia, Olcyr Sumensari. Two Higgs doublet models and $b\rightarrow s$ exclusive decays. European Physical Journal C: Particles and Fields, Springer Verlag (Germany), 2017, 77 (11), pp.796. 〈10.1140/epjc/s10052-017-5370-z〉. 〈hal-01669637〉

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