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Vacuum Stability and Radiative Symmetry Breaking of the Scale-Invariant Singlet Extension of Type II Seesaw Model. (arXiv:2301.00487v3 [hep-ph] UPDATED)

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The questions of the origin of electroweak symmetry breaking and neutrino
mass are two major puzzles in particle physics. Neutrino mass generation
requires new physics beyond the Standard Model and also suggests
reconsideration of physics of symmetry breaking. The aim of this paper is to
study radiative symmetry breaking in the singlet scalar extension of type II
seesaw neutrino mass model. We derive bounded-from-below conditions for the
scalar potential of the model in full generality for the first time. The
Gildener-Weinberg approach is utilised in minimising the multiscalar potential.
Upon imposing the bounded-from-below and perturbativity conditions, as well as
experimental constraints from colliders, we find the parameter space of scalar
quartic couplings that can radiatively realise electroweak symmetry breaking at
one-loop level. To satisfy all the constraints, the masses of the heavy
triplet-like Higgs bosons must be nearly degenerate. The evolution of the Higgs
doublet quartic coupling $\lambda_{H}$ can be prevented from being negative up
to the Planck scale.

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