A nonholomorphic T' modular model realizes the T4-2-i one-loop topology for radiative Majorana neutrino masses, forbids tree-level seesaws via modular assignments, stabilizes DM with residual Z2, and fits oscillation data plus DM constraints for both hierarchies with fermionic DM.
Vacuum Stability of a General Scalar Potential of a Few Fields
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abstract
We find analytical vacuum stability or bounded below conditions for general scalar potentials of a few fields. After a brief review of copositivity we go beyond it. We discuss the vacuum stability conditions of the general potential of two real scalars, without and with the Higgs boson included in the potential. As further examples, we give explicit vacuum stability conditions for the two Higgs doublet model with no explicit CP breaking, and for the $\mathbb{Z}_{3}$ scalar dark matter with an inert doublet and a complex singlet. We give a short overview of positivity conditions for tensors of quartic couplings via tensor eigenvalues. A Mathematica notebook with the conditions is included with the source files.
fields
hep-ph 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Renormalization group evolution in the Alternative Left-Right Model restricts the allowed quartic couplings and yields upper bounds on extended Higgs scalar masses for theoretical consistency up to 10^16 GeV.
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Radiative Neutrino Mass in a Nonholomorphic $T'$ Modular Invariant Model
A nonholomorphic T' modular model realizes the T4-2-i one-loop topology for radiative Majorana neutrino masses, forbids tree-level seesaws via modular assignments, stabilizes DM with residual Z2, and fits oscillation data plus DM constraints for both hierarchies with fermionic DM.
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The Alternative Left-Right Scenario: Unitarity, Vacuum Stability and RG Evolution
Renormalization group evolution in the Alternative Left-Right Model restricts the allowed quartic couplings and yields upper bounds on extended Higgs scalar masses for theoretical consistency up to 10^16 GeV.