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Leptonic commutators and cleanTviolation in neutrino oscillations

2013/04/30 by Zhi‐zhong Xing, Zhi-zhong Xing · 18 citations
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Asymmetry #Electron #Energy (signal processing) #Lepton #Lepton number #Neutrino #Neutrino Physics Research #Neutrino oscillation #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #hep-ex #hep-ph

paper · pdf · doi:10.1103/physrevd.88.017301

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 88(1) (American Physical Society) · LaTeX 7 pages. More discussions added. Accepted for publication in PRD

arxiv created 2013/06/27 · openalex publication_date 2013/07/08 · arxiv updated 2015/06/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A realistic medium- or long-baseline neutrino experiment may suffer from terrestrial matter effects which are likely to contaminate the genuine T-violating asymmetry between \ensuremathν_\ensuremathα\ensuremath→\ensuremathν_\ensuremathβ and \ensuremathν_\ensuremathβ\ensuremath→\ensuremathν_\ensuremathα oscillations. With the help of the commutators of lepton mass matrices in matter, we show that this kind of contamination is negligible for a variety of experiments provided the neutrino beam energy E and the baseline length L satisfy the condition 10^\ensuremath-7 (L/km)2 (GeV/E)\ensuremath≪1. The same observation is true for the CP-violating term of the asymmetry between \ensuremathν_\ensuremathα\ensuremath→\ensuremathν_\ensuremathβ and \ensuremathν_\ensuremathα\ensuremath→\ensuremathν_\ensuremathβ oscillations in matter.

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