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Journal Article
Spontaneous CP violation and leptogenesis in SO(10)
2025
Overview
A
bstract
We present a renormalizable SO(10) grand unified theory with a
minimal
Yukawa sector consisting of a 126
H
, a real 10
H
and a real 120
H
, where
CP
violation has a spontaneous origin. We show that the Yukawa sector in this setup, which consists of only 19 real parameters, is capable of simultaneously reproducing the observed fermion masses and mixings, including neutrino oscillations, as well as the baryon asymmetry of the Universe via thermal leptogenesis. In this framework,
CP
is spontaneously broken when a
CP
-odd Higgs field 54
H
, used for GUT symmetry breaking, acquires a non-zero vacuum expectation value. The Yukawa sector of the model contains four independent phases which determine the Dirac phases
δ
CKM
and
δ
PMNS
, the neutrino Majorana phases, as well as those responsible for leptogenesis. We show that these four phases can arise from a single complex parameter in the Higgs potential involving the
CP
-odd Higgs field 54
H
. The proposed minimal setup predicts a
normal
ordering of neutrino masses, with the atmospheric mixing angle
θ
23
preferred in the first octant and the
δ
PMNS
lying in the range (–37°, +31°). The fermion fits in our scenario further yield a strongly hierarchical mass spectrum for the three right-handed neutrinos, (
M
1
,
M
2
,
M
3
) ∼ (10
5
, 10
12
, 5 · 10
14
) GeV, which is shown to result in successful
N
2
-dominated
leptogenesis, consistent with current cosmological data.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
