Determination of neutrino mass texture for maximal CP violation

2005/07/31 by Ichiro Aizawa, Teruyuki Kitabayashi, Masaki Yasue +1 · 1 citation
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2005.09.016

published as Nucl.Phys.B728:220-232,2005 · 10 pages, RevTex, typos corrected, minor clarifications added in Sec.3 and Sec.4, version to appear in Nucl. Phys. B

arxiv created 2005/09/14 · openalex publication_date 2005/09/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show a general form of neutrino mass matrix (M), whose matrix elements are denoted by M_ij (i.j=e, mu, tau) as flavor neutrino masses, that induces maximal CP violation as well as maximal atmospheric neutrino mixing. The masses of M_{mu mu}, M_{tau tau} and M_{mu tau}+sigma M_ee (sigma =± 1) turn out to be completely determined by M_{e mu} and M_{e tau} for given mixing angles. The appearance of CP violation is found to originate from the interference between the mu-tau symmetric part of M and its breaking part. If |M_{e mu}|=|M_{e tau}|, giving either M_{e mu}=-sigma e^{i theta} M_{e tau} or M_{e mu}=-sigma e^{i theta}M*_{e tau} with a phase parameter theta, is further imposed, we find that |M_{mu mu}|=|M_{tau tau}|is also satisfied. These two constraints can be regarded as an extended version of the constraints in the mu-tau symmetric texture given by M_{e mu}=-sigma M_{e tau} and M_{mu mu}=M_{tau tau}. Majorana CP violation becomes active if arg(M_{mu tau})≠ arg(M_{e mu})+theta/2 for M_{e mu}=-sigma e^{i theta} M_{e tau} and if arg(M_{mu tau})≠ theta/2 for M_{e mu}=-sigma e^{i theta} M*_{e tau}.

Citations

• Neutrino mass and mixing parameters: A short review
• Extra Long Baseline Neutrino Oscillations and CP Violation
• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• Measurement of the rate of nu_e + d --> p + p + e^- interactions produced by 8B solar neutrinos at the Sudbury Neutrino Observatory
• UntanglingCPviolation and the mass hierarchy in long baseline experiments
• CP-Violation in the Renormalizable Theory of Weak Interaction

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