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Title: Large leptonic Dirac CP phase from broken democracy with random perturbations

Abstract

A large value of the leptonic Dirac CP phase can arise from broken democracy, where the mass matrices are democratic up to small random perturbations. Such perturbations are a natural consequence of broken residual S 3 symmetries that dictate the democratic mass matrices at leading order. With random perturbations, the leptonic Dirac CP phase has a higher probability to attain a value around ± π / 2 . Comparing with the anarchy model, broken democracy can benefit from residual S 3 symmetries, and it can produce much better, realistic predictions for the mass hierarchy, mixing angles, and Dirac CP phase in both quark and lepton sectors. Our approach provides a general framework for a class of models in which a residual symmetry determines the general features at leading order, and where, in the absence of other fundamental principles, the symmetry breaking appears in the form of random perturbations.

Authors:
ORCiD logo; ;
Publication Date:
Research Org.:
Univ. of California, Los Angeles, CA (United States); Univ. of Tokyo, Kashiwa (Japan)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); Ministry of Education, Culture, Sports, Science and Technology (MEXT) (Japan); Japan Society for the Promotion of Science (JSPS)
OSTI Identifier:
1434567
Alternate Identifier(s):
OSTI ID: 1499171
Grant/Contract Number:  
SC0009937; JP18K13536; 26104001; 26104009; 16H02176; 17H02878
Resource Type:
Published Article
Journal Name:
Physics Letters B
Additional Journal Information:
Journal Name: Physics Letters B Journal Volume: 781 Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Ge, Shao-Feng, Kusenko, Alexander, and Yanagida, Tsutomu T. Large leptonic Dirac CP phase from broken democracy with random perturbations. Netherlands: N. p., 2018. Web. https://doi.org/10.1016/j.physletb.2018.04.040.
Ge, Shao-Feng, Kusenko, Alexander, & Yanagida, Tsutomu T. Large leptonic Dirac CP phase from broken democracy with random perturbations. Netherlands. https://doi.org/10.1016/j.physletb.2018.04.040
Ge, Shao-Feng, Kusenko, Alexander, and Yanagida, Tsutomu T. Fri . "Large leptonic Dirac CP phase from broken democracy with random perturbations". Netherlands. https://doi.org/10.1016/j.physletb.2018.04.040.
@article{osti_1434567,
title = {Large leptonic Dirac CP phase from broken democracy with random perturbations},
author = {Ge, Shao-Feng and Kusenko, Alexander and Yanagida, Tsutomu T.},
abstractNote = {A large value of the leptonic Dirac CP phase can arise from broken democracy, where the mass matrices are democratic up to small random perturbations. Such perturbations are a natural consequence of broken residual S3 symmetries that dictate the democratic mass matrices at leading order. With random perturbations, the leptonic Dirac CP phase has a higher probability to attain a value around ±π/2. Comparing with the anarchy model, broken democracy can benefit from residual S3 symmetries, and it can produce much better, realistic predictions for the mass hierarchy, mixing angles, and Dirac CP phase in both quark and lepton sectors. Our approach provides a general framework for a class of models in which a residual symmetry determines the general features at leading order, and where, in the absence of other fundamental principles, the symmetry breaking appears in the form of random perturbations.},
doi = {10.1016/j.physletb.2018.04.040},
journal = {Physics Letters B},
number = C,
volume = 781,
place = {Netherlands},
year = {2018},
month = {6}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.physletb.2018.04.040

Citation Metrics:
Cited by: 1 work
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Figures / Tables:

Fig. 1. Fig. 1. : The prediction of the charged lepton masses (Left), the neutrino mixing angles (Middle), and the leptonic Dirac CP phase $\delta$D (Right) by random perturbations to the democratic mass matrix. While the phases$\phi$$i j$ are randomly sampled in the whole range [0, 2$π$ ], the deviation magnitudes aremore » randomly distributed in the range 0 ≤ $ϵ$$i j$ ≤ 0.2 (medium) or 0 ≤ $ϵ$$i j$ ≤ 0.4 (thick). For comparison, the prediction of mixing angles and the Dirac CP phase from the anarchy mass matrix is shown by thick curves with different colors. (For interpretation of the colors in the figure(s), the reader is referred to the web version of this article.)« less

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      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.