2015
DOI: 10.1103/physrevd.92.095002
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Parity problem of the scotogenic neutrino model

Abstract: We show that Ma's scotogenic model, which is arguably one of the simplest settings containing a Dark Matter candidate and generating a naturally suppressed active neutrino mass at 1-loop level, suffers from a potentially severe hierarchy-type problem. In case the right-handed neutrinos involved have sufficiently large masses, they can via loop effects drive the mass parameter of the inert scalar contained in the model towards negative values. This behaviour leads to a breaking of the Z 2 parity symmetry built … Show more

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Cited by 50 publications
(54 citation statements)
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“…This could distract the reader from the actual messages we would like to bring across. However, we would like to point out that of course the running of the scalar potential may introduce all kinds of additional difficulties when trying to find a realistic choice of parameters (the parity problem [71] of the scotogenic model being just one example).…”
Section: Jhep11(2015)148mentioning
confidence: 99%
See 1 more Smart Citation
“…This could distract the reader from the actual messages we would like to bring across. However, we would like to point out that of course the running of the scalar potential may introduce all kinds of additional difficulties when trying to find a realistic choice of parameters (the parity problem [71] of the scotogenic model being just one example).…”
Section: Jhep11(2015)148mentioning
confidence: 99%
“…Therefore, choosing a small m η at M GUT will result in an m η comparable to the M 1,2,3 at the electroweak scale -and the approximation breaks down. A way out would be to choose m 2 η < 0 at the high scale, but this may result in breaking the Z 2 symmetry at high scales and hence the expression for the mass matrix being meaningless [71]. …”
Section: Dominant Rh Neutrino Massesmentioning
confidence: 99%
“…Here the trace runs over the SU (2) indices, the mass matrix M Σ (but not the NP Yukawa couplings Y ) is assumed to be flavor diagonal, D denotes the covariant derivative, 3 It is worth mentioning that the evolution of the model parameters via the renormalization group equations may induce a non-zero vacuum expectation value for φ 0 at high scales, leading to the spontaneous breaking of the Z2 symmetry. This situation, that indeed occurs in the minimal scotogenic model [30], may be naturally avoided extending the model with a Z2-even real scalar-triplet, as shown in [54] in the context of the scotogenic model where a fermion singlet is replaced by a fermion triplet [37]. This solution, where the evolution of the couplings of the scalar sector is modified by the extention of the scalar sector, is fully applicable to our case.…”
Section: Lagrangianmentioning
confidence: 79%
“…In this way, the so-called scotogenic model constitutes a solid framework to explain simultaneously DM and radiative neutrino masses. The minimal scotogenic model with singlet fermions is not the only possibility to explain both radiative neutrino masses and the correct DM relic density [25][26][27][28][29][30][31][32][33]. The realization of the Weinberg operator at one-loop involves the generic coupling of the lepton doublets with both Z 2 -odd scalar and fermion multiplets [34].…”
Section: Introductionmentioning
confidence: 99%
“…It should be noted, taking into account of the recent work [27], that the model of oneloop radiative neutrino mass with dark matter originally proposed by Ma and popularly known as "scotogenic" model [13] suffers from a hierarchy type problem which can spoil the phenomenological success of this model. The problem occurs due to the contributions from heavy Majorana neutrinos through renormalisation group evolution (RGE) to the mass parameters of the scalar fields which are odd under the unbroken Z 2 symmetry of the model.…”
Section: Singlet Fermion Dark Mattermentioning
confidence: 99%