Abstract

In this paper, beyond standard models are considered with additional scalar triplets without modification of the gauge group (Higgs Triplet Model—HTM) and with an extended gauge group S U ( 2 ) R ⊗ S U ( 2 ) L ⊗ U ( 1 ) (Left–Right Symmetric Model—LRSM). These models differ drastically in possible triplet vacuum expectation values (VEV). Within the HTM, we needed to keep the triplet VEV at most within the range of GeV to keep the electroweak ρ parameter strictly close to 1, down to electronvolts due to the low energy constraints on lepton flavor-violating processes and neutrino oscillation parameters. For LRSM, the scale connected with the S U ( 2 ) R triplet is relevant, and to provide proper masses of non-standard gauge bosons, VEV should at least be at the TeV level. Both models predict the existence of doubly charged scalar particles. In this paper, their production in the e + e − collider is examined for making a distinction in the s- and t- channels between the two models in scenarios when masses of doubly charged scalars are the same.

Highlights

  • In 2012, the discovery of the neutral scalar particle, called the Higgs boson by the ATLAS [1]and CMS [2] collaborations, confirmed the mechanism of mass generation in the Standard Model (SM)

  • We presented the status of experimental data relevant for the determination of non-standard spontaneous symmetry breaking and vacuum expectation values (VEV) in both models

  • O, whereas right-handed triplet VEV in left–right symmetric model (LRSM) was constrained by the search for the new charged gauge boson which required v R & O (TeV), depending on the mass of right-handed heavy neutrinos

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Summary

Introduction

In 2012, the discovery of the neutral scalar particle, called the Higgs boson by the ATLAS [1]. An additional scalar triplet can explain the smallness of neutrino masses via the Type II seesaw mechanism. There are two ways to extend the scalar sector of the theory: directly, adding scalar fields, or indirectly, by extending the SM gauge group, which demands proper adjusting of the scalar sector These additional particles can generate various lepton flavor and number violating processes, leaving signatures in the experiments. Doubly charged scalars can produce the same sign dilepton signals at the colliders. They are components of the triplet multiplets, an attractive scenario to explain neutrino masses. We focus on two popular models containing doubly charged scalars—SM with one extra triplet multiplet (HTM) and the left–right symmetric model (LRSM). In both models, and analyze allowed scenarios for H ±± decay branching ratios and possible H ±± pair production in e+ e− colliders

Theoretical Introduction to HTM and LRSM
LFV Bounds on the Triplets VEV
A Case Study
Results and Discussion
Limits on the Triplet VEV
Doubly Charged Scalar Particles Decays within the LRSM and HTM
Doubly Charged Scalar Particles’ Pair Production at Future High Energies
Summary and Outlook
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