Abstract

We present new variants of the Two Higgs-Doublet Model where all Yukawa couplings with physical Higgs bosons are controlled by the quark mixing matrices of both chiralities, as well as, in one case, the ratio between the two scalar doublets' vacuum expectation values. We obtain these by imposing approximate symmetries on the Lagrangian which, in one of the cases, clearly reveals the model to be the electroweak remnant of the Minimal Left-Right Symmetric Model. We also argue for the benefits of the bidoublet notation in the Two Higgs-Doublet Model context for uncovering new models.

Highlights

  • In the Standard Model (SM) of particle physics, the charged gauge currents between quarks are guided by the Cabibbo-Kobayashi-Maskawa (CKM) mixing matrix, while the neutral gauge currents are flavor diagonal

  • We present new variants of the two-Higgs-doublet model where all Yukawa couplings with physical Higgs bosons are controlled by the quark mixing matrices of both chiralities, as well as, in one case, the ratio between the two scalar doublets’ vacuum expectation values

  • We studied some properties of a minimal extension of the SM, the 2HDM, and, in particular, focused on the study of the flavor changing neutral currents (FCNCs) of the model

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Summary

INTRODUCTION

In the Standard Model (SM) of particle physics, the charged gauge currents between quarks are guided by the Cabibbo-Kobayashi-Maskawa (CKM) mixing matrix, while the neutral gauge currents are flavor diagonal. Fermions of a specific charge should receive contributions to their mass from only one of the scalar doublets In this way, similar to the SM, the Yukawa and the mass matrices for a particular species of fermions become proportional to each other thereby neutralizing the possibility of FCNC at the tree level. An interesting alternative to completely eliminating the tree-level FCNCs is to accommodate them in a controlled manner This was achieved by Branco, Grimus and Lavoura (BGL) [6], where the scalar FCNC couplings were related to the rows or columns of the CKM matrix[7,8].

YUKAWA SECTOR IN 2HDM
Reducible Yukawa couplings
A NOTATIONAL DIGRESSION
THE CROSSED 2HDMS
Retrieving the type-I and type-II 2HDMs
First example of crossed 2HDM
More examples of crossed 2HDM
Some specificities on the x2HDMs
PHENOMENOLOGY OF THE X2HDMS
SUMMARY
Full Text
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