Abstract

The measure of the triple Higgs coupling is one of the major goals of the high-luminosity run of the CERN Large Hadron Collider (HL-LHC) as well as the future colliders, either leptonic such as the International Linear Collider (ILC) or hadronic such as the 100 TeV Future Circular Collider in hadron-hadron mode (FCC-hh). We have recently proposed this observable as a test of neutrino mass generating mechanisms in a regime where heavy sterile neutrino masses are hard to be probed otherwise. We present in this article a study of the one-loop corrected triple Higgs coupling in the inverse seesaw model, taking into account all relevant constraints on the model. This is the first study of the impact on the triple Higgs coupling of heavy neutrinos in a realistic, renormalizable neutrino mass model. We obtain deviations from the Standard Model as large as to ∼ +30% that are at the current limit of the HL-LHC sensitivity, but would be clearly visible at the ILC or at the FCC-hh.

Highlights

  • The possible direct detection possibilities and indirect tests for heavy sterile neutrinos at lepton-lepton, proton-proton and lepton-proton colliders [26], see references therein

  • After taking into account all relevant constraints, we obtain effects that can be as large as a ∼ +30% increase of λHHH, similar to the effects that we found in our previous article [27] using a simplified model

  • We have investigated in this article the one-loop effects of heavy neutrinos on the triple Higgs coupling in the framework of an inverse seesaw model, that is a realistic, renormalizable model accounting for the masses and mixings of the light neutrinos

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Summary

Model and constraints

After introducing the model and the different parameterizations used to reproduce neutrino oscillations data, we will present the theoretical and experimental constraints considered in our study

The inverse seesaw model
Constraints on the ISS model
Framework of the calculation
Numerical results
Casas-Ibarra parameterization
Degenerate heavy neutrinos
Hierarchical heavy neutrinos
Conclusions
B Analytic expressions of the new ISS contributions
Findings
Counter-terms
Full Text
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