A Compromise between Neutrino Masses and Collider Signatures in the Type-II Seesaw Model

dc.creatorChao, Wei
dc.creatorLuo, Shu
dc.creatorXing, Zhi-zhong
dc.creatorZhou, Shun
dc.date2007-09-07
dc.date.accessioned2026-07-07T11:19:11Z
dc.date.available2026-07-07T11:19:11Z
dc.descriptionA natural extension of the standard $SU(2)_{\rm L} \times U(1)_{\rm Y}$ gauge model to accommodate massive neutrinos is to introduce one Higgs triplet and three right-handed Majorana neutrinos, leading to a $6\times 6$ neutrino mass matrix which contains three $3\times 3$ sub-matrices $M_{\rm L}$, $M_{\rm D}$ and $M_{\rm R}$. We show that three light Majorana neutrinos (i.e., the mass eigenstates of $ν_e$, $ν_μ$ and $ν_τ$) are exactly massless in this model, if and only if $M_{\rm L} = M_{\rm D} M_{\rm R}^{-1} M_{\rm D}^T$ exactly holds. This no-go theorem implies that small but non-vanishing neutrino masses may result from a significant but incomplete cancellation between $M_{\rm L}$ and $M_{\rm D} M_{\rm R}^{-1} M_{\rm D}^T$ terms in the Type-II seesaw formula, provided three right-handed Majorana neutrinos are of ${\cal O}(1)$ TeV and experimentally detectable at the LHC. We propose three simple Type-II seesaw scenarios with the $A_4 \times U(1)_{\rm X}$ flavor symmetry 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 $3\times 3$ neutrino mixing matrix in the future long-baseline neutrino oscillation experiments.
dc.descriptionRevTeX 19 pages, no figures
dc.identifierhttps://arxiv.org/abs/0709.1069
dc.identifierhttp://arxiv.org/abs/0709.1069
dc.identifierPhys.Rev.D77:016001,2008
dc.identifierdoi:10.1103/PhysRevD.77.016001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193600
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Experiment
dc.titleA Compromise between Neutrino Masses and Collider Signatures in the Type-II Seesaw Model
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