Narendra, Nimmala and Sahu, Narendra and Sankar, S Uma
(2020)
Flavoured CP-asymmetry at the effective neutrino mass floor.
arXiv.org.
Abstract
Both neutrinoless double beta decay and leptogenesis require neutrinos to be Majorana
fermions. A relation between these two phenomena can be derived once the mechanism of
neutrino mass generation is specified. We first derive the constraints on the Majorana phases
by minimising the effective neutrino mass in neutrinoless double beta decay with respect
to the smallest mass among the light neutrinos. Given these phases, we derive a lower
bound on M1 (the mass of the lightest of the heavy neutrinos) in the framework of Type-I
seesaw mechanism, subject to the constraint that the CP asymmetry required for adequate
leptogenesis is larger than 10−8
. We find that M1 ≥ 1010 (109
) GeV for the case of Normal
(Inverted) hierarchy. We extend our analysis to the case when one of the heavy neutrinos
decouples (two right handed neutrino models). In this case we find M1 ≥ 1010 (1011) GeV
for the case of Normal (Inverted) hierarchy.
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