Prediction of the CP Phase $δ_{CP}$ in the Neutrino Oscillation and an Axion-less Solution to the Strong CP Problem

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Auteurs principaux: Tanimoto, Morimitsu, Yanagida, Tsutomu T.
Format: Preprint
Publié: 2024
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author Tanimoto, Morimitsu
Yanagida, Tsutomu T.
author_facet Tanimoto, Morimitsu
Yanagida, Tsutomu T.
contents A model of the axion-less solution to the strong CP problem has been recently constructed based on the $\bf T^2/\mathbb{Z}_3$ orbifold in the six dimensional space-time. We extend, in this paper, the model to include the lepton sector with three right-handed neutrinos. A crucial point in the extended model is that we have only one CP-violating phase and thus the CP phase in the neutrino oscillation can be predicted by the CP phase in the CKM matrix. The CP phase $δ_{CP}$ in the PMNS matrix is predicted as $δ_{CP}\simeq 192^\circ - 195^\circ$ which can be tested in the near future experiments. We also discuss the effective mass $m_{ββ}$ responsible for the neutrino-less double beta decay of nucleus, which is predicted as $m_{ββ} \simeq 8-11$\,meV. We consider the leptogenesis and confirm that our model generates the right sign of the baryon asymmetry if the first family right-handed neutrino is the lightest among the heavy right-handed neutrinos.
format Preprint
id arxiv_https___arxiv_org_abs_2410_01224
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Prediction of the CP Phase $δ_{CP}$ in the Neutrino Oscillation and an Axion-less Solution to the Strong CP Problem
Tanimoto, Morimitsu
Yanagida, Tsutomu T.
High Energy Physics - Phenomenology
A model of the axion-less solution to the strong CP problem has been recently constructed based on the $\bf T^2/\mathbb{Z}_3$ orbifold in the six dimensional space-time. We extend, in this paper, the model to include the lepton sector with three right-handed neutrinos. A crucial point in the extended model is that we have only one CP-violating phase and thus the CP phase in the neutrino oscillation can be predicted by the CP phase in the CKM matrix. The CP phase $δ_{CP}$ in the PMNS matrix is predicted as $δ_{CP}\simeq 192^\circ - 195^\circ$ which can be tested in the near future experiments. We also discuss the effective mass $m_{ββ}$ responsible for the neutrino-less double beta decay of nucleus, which is predicted as $m_{ββ} \simeq 8-11$\,meV. We consider the leptogenesis and confirm that our model generates the right sign of the baryon asymmetry if the first family right-handed neutrino is the lightest among the heavy right-handed neutrinos.
title Prediction of the CP Phase $δ_{CP}$ in the Neutrino Oscillation and an Axion-less Solution to the Strong CP Problem
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2410.01224