Baryogenesis in a Parity Solution to the Strong CP Problem. (arXiv:2210.16207v1 [hep-ph])

Baryogenesis in a Parity Solution to the Strong CP Problem. (arXiv:2210.16207v1 [hep-ph])
<a href="http://arxiv.org/find/hep-ph/1/au:+Harigaya_K/0/1/0/all/0/1">Keisuke Harigaya</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Wang_I/0/1/0/all/0/1">Isaac R. Wang</a>

Space-time parity can solve the strong CP problem and introduces a
spontaneously broken $SU(2)_R$ gauge symmetry. We investigate the possibility
of baryogenesis from a first-order $SU(2)_R$ phase transition similar to
electroweak baryogenesis. We consider a model with the minimal Higgs content,
for which the strong CP problem is indeed solved without introducing extra
symmetry beyond parity. Although the parity symmetry seems to forbid the
$SU(2)_R$ anomaly of the $B-L$ symmetry, the structure of the fermion masses
can allow for the $SU(2)_R$ sphaleron process to produce non-zero $B-L$
asymmetry of Standard Model particles so that the wash out by the $SU(2)_L$
sphaleron process is avoided. The setup predicts a new hyper-charged fermion
whose mass is correlated with the $SU(2)_R$ symmetry breaking scale and hence
with the $SU(2)_R$ gauge boson mass, and depending on the origin of CP
violation, with an electron electric dipole moment. In a setup where CP
violation and the first-order phase transition are assisted by a singlet scalar
field, the singlet can be searched for at future colliders.

Space-time parity can solve the strong CP problem and introduces a
spontaneously broken $SU(2)_R$ gauge symmetry. We investigate the possibility
of baryogenesis from a first-order $SU(2)_R$ phase transition similar to
electroweak baryogenesis. We consider a model with the minimal Higgs content,
for which the strong CP problem is indeed solved without introducing extra
symmetry beyond parity. Although the parity symmetry seems to forbid the
$SU(2)_R$ anomaly of the $B-L$ symmetry, the structure of the fermion masses
can allow for the $SU(2)_R$ sphaleron process to produce non-zero $B-L$
asymmetry of Standard Model particles so that the wash out by the $SU(2)_L$
sphaleron process is avoided. The setup predicts a new hyper-charged fermion
whose mass is correlated with the $SU(2)_R$ symmetry breaking scale and hence
with the $SU(2)_R$ gauge boson mass, and depending on the origin of CP
violation, with an electron electric dipole moment. In a setup where CP
violation and the first-order phase transition are assisted by a singlet scalar
field, the singlet can be searched for at future colliders.

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