Abstract

We investigate the electroweak vacuum stability in an extended version of the Standard Model which incorporates two additional singlet scalar fields and three right handed neutrinos. One of these extra scalars plays the role of dark matter while the other scalar not only helps in making the electroweak vacuum stable but also opens up the low mass window of the scalar singlet dark matter (< 500 GeV). We consider the effect of large neutrino Yukawa coupling on the running of Higgs quartic coupling. We have analyzed the constraints on the model and identify the range of parameter space which is consistent with neutrino mass, appropriate relic density and direct search limits from the latest XENON 1T preliminary result as well as in realizing the stability of the electroweak vacuum upto the Planck scale.

Highlights

  • The discovery of the Higgs boson [1,2,3] has been considered the greatest triumph in present-day particle physics

  • We find that the Standard model (SM) Higgs quartic coupling may remain positive until MP even in the presence of large Yν, thanks to the involvement of the scalar with a nonzero vev

  • As mentioned in the Introduction, we aim to study how the EW vacuum can be made stable in a model that would successfully accommodate a scalar dark matter (DM) and neutrino mass

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Summary

INTRODUCTION

The discovery of the Higgs boson [1,2,3] has been considered the greatest triumph in present-day particle physics. (ii) The other scalar would acquire a nonzero vacuum expectation value (vev) This field has twofold contributions in our analysis: i) it affects the running of the SM Higgs quartic coupling, and ii) the dark matter phenomenology becomes more involved due to its mixing with the SM Higgs and the DM. We identify the relevant parameter space (in terms of stability, metastability, and instability regions) of the model that can allow large Yν (with different mass scales of RH neutrinos) and scalar DM below 500 GeV. As mentioned in the Introduction, we aim to study how the EW vacuum can be made stable in a model that would successfully accommodate a scalar DM and neutrino mass For this purpose, we extend the SM by introducing two SM singlet scalar fields, φ and χ, and three right-handed neutrinos, Ni1⁄41;2;3. Z02 simplifies neutrinos are the scalar included in order to incorporate the light neutrino mass through the type-I seesaw mechanism

III λχφφ2χ2
CONSTRAINTS
DARK MATTER PHENOMENOLOGY
DM mass in region R1
VACUUM STABILITY
Higgs vacuum stability with right-handed neutrinos
Higgs vacuum stability from Higgs portal DM and RH neutrinos
EW vacuum stability in extended Higgs portal DM and RH neutrinos
CONNECTION WITH OTHER OBSERVABLES
CONCLUSIONS
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