Abstract
We perform a comprehensive analysis of the phenomenology of leptonic low and high energy CP phases in a scenario with three heavy right-handed neutrinos in which a flavor and a CP symmetry are non-trivially broken. All CP phases as well as lepton mixing angles are determined by the properties of the flavor and CP symmetry and one free real parameter. We focus on the generation of the baryon asymmetry YB of the Universe via unflavored leptogenesis and the predictions of mee, the quantity measurable in neutrinoless double beta decay. We show that the sign of YB can be fixed and the allowed parameter range of mee can be strongly constrained. We argue on general grounds that the CP asymmetries ϵi are dominated by the contribution associated with one Majorana phase and that in cases in which only the Dirac phase is non-trivial the sign of YB depends on further parameters. In addition, we comment on the case of flavored leptogenesis where in general the knowledge of the CP phases and light neutrino mass spectrum is also not sufficient in order to fix the sign of the CP asymmetries. As examples we discuss the series of flavor groups Δ(3n2) and Δ(6n2), n≥2 integer, and several classes of CP transformations.
Highlights
The baryon asymmetry YB of the Universe has been precisely measured [1]C
The paper is structured as follows: in section 2 we describe our scenario in which a flavor group Gf = (3 n2) or Gf = (6 n2) combined with a CP symmetry is broken to Ge = Z3 and Gν = Z2 × CP and corrections from the charged lepton sector to the neutrino one are crucial for the generation of non-vanishing CP asymmetries
We have studied leptogenesis and 0νββ decay in a scenario with a flavor Gf and a CP symmetry that are broken non-trivially in the charged lepton and neutrino sectors
Summary
The CP asymmetries α i vanish as well, if we only take into account the LO terms, since the Yukawa couplings of neutrinos are taken to be invariant under the flavor symmetry Gf and CP in our analysis In this case corrections δYD ∝ κ induce non-zero α i. The paper is structured as follows: in section 2 we describe our scenario in which a flavor group Gf = (3 n2) or Gf = (6 n2) combined with a CP symmetry is broken to Ge = Z3 and Gν = Z2 × CP and corrections from the charged lepton sector to the neutrino one are crucial for the generation of non-vanishing CP asymmetries.
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