Leptonic commutators and clean T violation in neutrino oscillations

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 ν_α\to ν_βand ν_β\to ν_αoscillations. 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^{-7} (L/km)^2 (GeV/E) << 1. The same observation is true for the CP-violating term of the asymmetry between ν_α\to ν_βand \barν_α\to \barν_βoscillations in matter.

LaTeX 7 pages. More discussions added. Accepted for publication in PRD

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• CP-Violation with Neutrino Disappearance Alone
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• Analytic formulae for T violation in neutrino oscillations
• T versus CP effects in DUNE and T2HK