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Universal form for quark and lepton mass matrices

Gu, Zheng-Cheng and Preskill, John (2015) Universal form for quark and lepton mass matrices. Physical Review D, 92 (11). Art. No. 113005. ISSN 2470-0010. doi:10.1103/PhysRevD.92.113005.

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We propose a universal form for quark and lepton mass matrices, which applies in a “leading order” approximation where CP-violating phases are ignored. Down-quark mass ratios are successfully predicted in our scheme using the measured Cabibbo-Kobayashi-Maskawa mixing angles as input. Assuming an additional discrete symmetry in the neutrino sector, we obtain the “golden ratio” pattern in the leading-order Pontecorvo-Maki-Nakagawa-Sakata (PMNS) mixing matrix; in addition we predict an inverted neutrino mass hierarchy with m_1-≃-m_2 ≃ 74  meV, m_3 ≃ 55  meV, and neutrinoless double beta decay mass parameter m_(0νββ) ≃ 33  meV. When CP-violating phases are included, our scheme suggests a residual  ℤ_2 antiunitary symmetry of the neutrino mass matrix, in which the interchange of μ and τ neutrinos is accompanied by a time reversal transformation, thus predicting that the CP-violating angle in the neutrino sector is close to the maximal value δ = ± π/2, and that the diagonal phases in the PMNS matrix are α_ 1 ≃ 0, α_2 ≃ π.

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Additional Information:© 2015 American Physical Society. (Received 20 May 2014; published 7 December 2015) We thank Ryan Patterson for helpful discussions. Z. C. G. is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Research and Innovation. J. P. is supported by NSF Grant No. PHY-0803371 and DOE Grant No. DE-FG03-92-ER40701.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Industry CanadaUNSPECIFIED
Ontario Ministry of Research and InnovationUNSPECIFIED
Department of Energy (DOE)DE-FG03-92-ER40701
Issue or Number:11
Classification Code:PACS numbers: 12.15.Ff, 11.30.Hv, 12.15.Hh, 14.60.Pq
Record Number:CaltechAUTHORS:20160104-165102169
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Official Citation:Universal form for quark and lepton mass matrices Zheng-Cheng Gu and John Preskill Phys. Rev. D 92, 113005
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:63357
Deposited By: George Porter
Deposited On:05 Jan 2016 17:42
Last Modified:10 Nov 2021 23:15

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