Abstract

We present an analysis of supersymmetric left-right symmetric models with Higgs fields lying in the adjoint representation of SU(2) R . These models feature a doubly-charged Higgs boson which gets its mass only at the loop level. We present, for the first time, a complete one-loop calculation of this mass and show that contributions that have been neglected so far can shift it by a few hundreds of GeV. We then combine this observation with LHC bounds deduced from extra charged gauge boson and doubly-charged Higgs boson searches. In particular, we point out that existing limits get substantially modified by the presence of singly-charged Higgs bosons that are also predicted in these models. In addition, we address constraints stemming from vacuum stability considerations and show how the considered class of models could be ruled out at the next LHC run in the absence of any signal.

Highlights

  • The ModelMany left-right supersymmetric setups have been developed in the past. We adopt the configuration introduced in ref. [8]

  • Because of parity invariance at the fundamental level

  • We choose to focus on a class of minimal models featuring two SU(2)R Higgs triplets that are responsible for the breaking of SU(2)R× U(1)B−L to the electroweak group, two extra SU(2)L Higgs triplets that allow for parity invariance at higher scales and two SU(2)L × SU(2)R bidoublets yielding both the breaking of the electroweak symmetry down to electromagnetism and the generation of acceptable fermion masses and mixings [12,13,14]

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Summary

The Model

Many left-right supersymmetric setups have been developed in the past. We adopt the configuration introduced in ref. [8]. The supersymmetry-breaking Lagrangian contains sfermion and gaugino mass terms as well as trilinear (T ) interactions whose structure is given by their superpotential counterparts. U(1)B−L group is first broken to the hypercharge group and the two SU(2)R Higgs triplets develop non-vanishing vacuum expectation values (vevs). The electroweak symmetry is broken to electromagnetism and the bidoublet Higgs fields get non-zero vacuum expectation values. The Φ 0 fields could develop non-zero vacuum expectation values giving rise to W/WR mixing, these are strongly constrained by kaon data so that they are ignored. The smallness of the Standard Model neutrino masses and electroweak precision data require that the vevs developed by the SU(2)L Higgs triplets viL are negligible.. The true global minimum is in general charge-breaking and the ∆−1R− and ∆+2R+ fields develop a vev. We have estimated WR signal cross sections by means of the MadGraph aMC@NLO programme [35] after having linked the UFO library [36] obtained from the SARAH implementation

The doubly-charged Higgs mass
Tree-level results
Results at the one-loop level
LHC bounds
Analysis of the vacuum stability
Conclusion
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