TY - JOUR

T1 - A critical analysis of one-loop neutrino mass models with minimal dark matter

AU - Ahriche, Amine

AU - McDonald, Kristian L.

AU - Nasri, Salah

AU - Picek, Ivica

N1 - Funding Information:
AA is supported by the Algerian Ministry of Higher Education and Scientific Research under the CNEPRU Project No. D01720130042 . IP is supported by the Croatian Science Foundation under the project number 8799 . KM is supported by the Australian Research Council and acknowledges a 2013 correspondence with J. Heeck.
Publisher Copyright:
© 2016 .

PY - 2016/6/10

Y1 - 2016/6/10

N2 - A recent paper investigated minimal RνMDM models with the type T1-iii and T3 one-loop topologies. However, the candidate most-minimal model does not possess an accidental symmetry - the scalar potential contains an explicit symmetry breaking term, rendering the dark matter unstable. We present two models that cure this problem. However, we further show that all of the proposed minimal one-loop RνMDM models suffer from a second problem - an additional source of explicit Z2 symmetry breaking in the Yukawa sector. We perform a more-general analysis to show that neutrino mass models using either the type T3 or type T1-iii one-loop topologies do not give viable minimal dark matter candidates. Consequently, one-loop models of neutrino mass with minimal dark matter do not appear possible. Thus, presently there remains a single known (three-loop) model of neutrino mass that gives stable dark matter without invoking any new symmetries.

AB - A recent paper investigated minimal RνMDM models with the type T1-iii and T3 one-loop topologies. However, the candidate most-minimal model does not possess an accidental symmetry - the scalar potential contains an explicit symmetry breaking term, rendering the dark matter unstable. We present two models that cure this problem. However, we further show that all of the proposed minimal one-loop RνMDM models suffer from a second problem - an additional source of explicit Z2 symmetry breaking in the Yukawa sector. We perform a more-general analysis to show that neutrino mass models using either the type T3 or type T1-iii one-loop topologies do not give viable minimal dark matter candidates. Consequently, one-loop models of neutrino mass with minimal dark matter do not appear possible. Thus, presently there remains a single known (three-loop) model of neutrino mass that gives stable dark matter without invoking any new symmetries.

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U2 - 10.1016/j.physletb.2016.04.022

DO - 10.1016/j.physletb.2016.04.022

M3 - Article

AN - SCOPUS:84964372729

VL - 757

SP - 399

EP - 404

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

ER -