Abstract
We examine the compatibility between the Neutrino Option, in which the electroweak scale is generated by PeV mass type I seesaw Majorana neutrinos, and leptogenesis. We find the Neutrino Option is consistent with resonant leptogenesis. Working within the minimal seesaw scenario with two heavy Majorana neutrinos N1, 2, which form a pseudo-Dirac pair, we explore the viable parameter space. We find that the Neutrino Option and successful leptogenesis are compatible in the cases of a neutrino mass spectrum with normal (inverted) ordering for 1.2 × 106 < M(GeV) < 8.8 × 106(2.4 × 106 < M(GeV) < 7.4 × 106), with M = (M1 + M2)/2 and M1, 2 the masses of N1, 2. Successful leptogenesis requires that ∆M/M ≡ (M2 − M1)/M ∼ 10−8. We further show that leptogenesis can produce the baryon asymmetry of the Universe within the Neutrino Option scenario when the requisite CP violation in leptogenesis is provided exclusively by the Dirac or Majorana low energy CP violation phases of the PMNS matrix.
Highlights
A different perspective on this problem is brought by the so-called Neutrino Option scenario [16, 17] which is based on the idea that the Higgs potential is generated by the radiative corrections of the heavy Majorana neutrinos, starting from an approximately conformal scalar potential at the seesaw scale
We further show that leptogenesis can produce the baryon asymmetry of the Universe within the Neutrino Option scenario when the requisite CP violation in leptogenesis is provided exclusively by the Dirac or Majorana low energy CP violation phases of the PMNS matrix
The aim of this paper is to examine resonant leptogenesis in the context of the Neutrino Option thereby taking one further step in constructing a self-consistent theory which simultaneously explains light neutrino masses, the predominance of matter over anti-matter, and the electroweak scale
Summary
A different perspective on this problem is brought by the so-called Neutrino Option scenario [16, 17] which is based on the idea that the Higgs potential is generated by the radiative corrections of the heavy Majorana neutrinos, starting from an approximately conformal scalar potential at the seesaw scale. In this framework the heavy Majorana neutrino masses are the only dimensionful parameters of the theory and they control both the breaking of the conformal symmetry and that of lepton number. We make use of the conventional PDG parametrisation [20]: c12c13
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