Generalizing the Scotogenic model
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Springer
Received: April Revised: May Accepted: June Published: July
24, 21, 26, 15,
2020 2020 2020 2020
Pablo Escribano, Mario Reig and Avelino Vicente Instituto de F´ısica Corpuscular (CSIC-Universitat de Val`encia), C/ Catedr´ atico Jos´e Beltr´ an 2, E-46980 Paterna (Valencia), Spain
E-mail: [email protected], [email protected], [email protected] Abstract: The Scotogenic model is an economical setup that induces Majorana neutrino masses at the 1-loop level and includes a dark matter candidate. We discuss a generalization of the original Scotogenic model with arbitrary numbers of generations of singlet fermion and inert doublet scalar fields. First, the full form of the light neutrino mass matrix is presented, with some comments on its derivation and with special attention to some particular cases. The behavior of the theory at high energies is explored by solving the Renormalization Group Equations. Keywords: Beyond Standard Model, Neutrino Physics, Renormalization Group ArXiv ePrint: 2004.05172
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP07(2020)097
JHEP07(2020)097
Generalizing the Scotogenic model
Contents 1
2 The general Scotogenic model
2
3 Neutrino masses 3.1 Particular case 1: (nN , nη ) = (3, 1) 3.2 Particular case 2: (nN , nη ) = (1, 2)
4 7 7
4 High-energy behavior
8
5 Thermal effects and the fate of the Z2 symmetry
14
6 Summary and discussion
15
A Renormalization Group Equations
16
B Boundedness from below
16
1
Introduction
The experimental observation of neutrino flavor oscillations constitutes a milestone in particle physics and proves that the Standard Model (SM) is an incomplete theory. Although many questions remain open, such as the Majorana or Dirac nature of neutrinos or the possible violation of CP in the leptonic sector, the SM must certainly be extended to include a mechanism that accounts for non-zero neutrino masses and mixings. Many neutrino mass models have been proposed along the years. Among them, radiative models are particularly appealing. After the pioneer models in the 80’s [1–4], countless radiative models have been proposed and studied [5]. The suppression introduced by the loop factors allows one to accommodate the observed solar and atmospheric mass scales with sizable couplings and relatively light (TeV scale) mediators. This typically leads to a richer phenomenology compared to the usual tree-level scenarios and, in fact, the new mediators may even be accessible to current colliders. Furthermore, in some radiative models one can easily address a completely independent problem: the nature of the dark matter (DM) of the Universe. Discrete symmetries, connected to the radiative origin of neutrino masses, may be used to stabilize viable DM candidates, resulting in very economical scenarios [6]. The first and arguably most popular model of this class is the Scotogenic model [7]. The addition of just three singlet fermions and one scalar doublet, as well as a dark Z2 parity under which these ne
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