Eur. Phys. J. C (2016) 76: 151
https://doi.org/10.1140/epjc/s10052-016-3930-2

Regular Article - Theoretical Physics

Revisiting in the two-Higgs doublet models with symmetry

¹ Institute of Particle Physics and Key Laboratory of Quark and Lepton Physics (MOE), Central China Normal University, Wuhan, 430079, Hubei, People’s Republic of China
² College of Physics and Electronic Engineering, Xinyang Normal University, Xinyang, 464000, Henan, People’s Republic of China
³ Department of Physics and IPAP, Yonsei University, Seoul, 120-749, Korea
⁴ State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, People’s Republic of China

^* e-mail: xbyuan@yonsei.ac.kr

Received: 15 December 2015
Accepted: 1 February 2016
Published online: 17 March 2016

Abstract

We revisit the rare leptonic decay in the two-Higgs doublet models (2HDMs) with a softly broken symmetry, namely type-I, type-II, type-X and type-Y 2HDMs. We have derived the relevant full one-loop Wilson coefficients of the four 2HDMs from the recent calculation in the aligned 2HDM by Li, Lu and Pich, which could be mapped to all the four 2HDMs for both large and small . It is found that a new term associated with the soft symmetry breaking parameter M can be enhanced by in the type-II 2HDM, which has not been considered in the literature. Imposing both theoretical and experimental constraints, we have renewed the bounds on the parameter spaces of the four 2HDMs. Different from our previous paper, however, we find that all the four 2HDMs give sizable and similar contributions to within the stringently restricted parameter spaces, but very tiny as regards the mass-eigenstate rate asymmetry ; this makes it unfeasible to discriminate the four types of 2HDM with the correlations between the observables in decay.