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• W2247226472 abstract "A natural extension of the standard $mathrm{SU}(2{)}_{mathrm{L}}ifmmodetimeselsetexttimesfi{}mathrm{U}(1{)}_{mathrm{Y}}$ gauge model to accommodate massive neutrinos is to introduce one Higgs triplet and three right-handed Majorana neutrinos, leading to a $6ifmmodetimeselsetexttimesfi{}6$ neutrino mass matrix which contains three $3ifmmodetimeselsetexttimesfi{}3$ submatrices, ${M}_{mathrm{L}}$, ${M}_{mathrm{D}}$ and ${M}_{mathrm{R}}$. We show that three light Majorana neutrinos (i.e., the mass eigenstates of ${ensuremath{nu}}_{e}$, ${ensuremath{nu}}_{ensuremath{mu}}$, and ${ensuremath{nu}}_{ensuremath{tau}}$) are exactly massless in this model, if and only if ${M}_{mathrm{L}}={M}_{mathrm{D}}{M}_{mathrm{R}}^{ensuremath{-}1}{M}_{mathrm{D}}^{T}$ exactly holds. This no-go theorem implies that small but nonvanishing neutrino masses may result from a significant but incomplete cancellation between ${M}_{mathrm{L}}$ and ${M}_{mathrm{D}}{M}_{mathrm{R}}^{ensuremath{-}1}{M}_{mathrm{D}}^{T}$ terms in the Type-II seesaw formula, provided three right-handed Majorana neutrinos are of $mathcal{O}(1)text{ }text{ }mathrm{TeV}$ and experimentally detectable at the LHC. We propose three simple Type-II seesaw scenarios with the ${A}_{4}ifmmodetimeselsetexttimesfi{}mathrm{U}(1{)}_{mathrm{X}}$ flavor symmetry and its explicit breaking to interpret the observed neutrino mass spectrum and neutrino mixing pattern. Such a TeV-scale neutrino model can be tested in two complementary ways: (1) searching for possible collider signatures of lepton number violation induced by the right-handed Majorana neutrinos and doubly-charged Higgs particles; and (2) searching for possible consequences of unitarity violation of the $3ifmmodetimeselsetexttimesfi{}3$ neutrino mixing matrix in the future long-baseline neutrino oscillation experiments." @default.
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• W2247226472 date "2008-01-14" @default.
• W2247226472 modified "2023-09-23" @default.
• W2247226472 title "Compromise between neutrino masses and collider signatures in the type-II seesaw model" @default.
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• W2247226472 doi "https://doi.org/10.1103/physrevd.77.016001" @default.
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