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The matter fluctuation effect to T violation at a neutrino factory

Takahiro Miura·Tetsuo Shindou·Eiichi Takasugi·Masaki Yoshimura
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Abstract

We derived an analytic formula for T violation by using the perturbation theory for small quantities, $Δm_{21}^2L/2E$ and $δa(x)L/2E$, where $δa(x)$ represents symmetric and asymmetric matter fluctuations, i.e., deviations from the average density. We analyzed the effect of matter fluctuations to T violation, by assuming PREM profile of earth matter density. We found that matter fluctuations do not give any viable contribution for $L<$6000km, while the fluctuation effect becomes large due to resonances for $L>$7000km. For 7000km$ $8000km, the contribution from matter fluctuations becomes large but contributes constructively.

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Takahiro Miura, Tetsuo Shindou, Eiichi Takasugi, Masaki Yoshimura. 2001-06-08. The matter fluctuation effect to T violation at a neutrino factory. https://doi.org/10.1103/physrevd.64.073017

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