On detecting CP violation in a single neutrino oscillation channel at very long baselines

Abstract

We propose a way of detecting CP violation in a single neutrino oscillation channel at very long baselines (on the order of several thousands of kilometers), given precise knowledge of the smallest mass-squared difference. It is shown that CP violation can be characterized by a shift in $L/E$ of the peak oscillation in the ${\nu }_e$--${\nu }_{\mu }$ appearance channel, both in vacuum and in matter. In fact, matter effects enhance the shift at a fixed energy. We consider the case in which sub-GeV neutrinos are measured with varying baseline and also the case of a fixed baseline. For the varied baseline, accurate knowledge of the absolute neutrino flux would not be necessary; however, neutrinos must be distinguishable from antineutrinos. For the fixed baseline, it is shown that CP violation can be distinguished if the mixing angle ${\theta }_{13}$ were known.

arXiv comment8 pages, 9 figures; minor typos corrected

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Cited by in corpus (4)

• Atmospheric, long baseline, and reactor neutrino data constraints on ${\theta }_{13}$
• Implications of the Super-K atmospheric data for the mixing angles ${\theta }_{13}$ and ${\theta }_{23}$
• Implications of the Dirac CP phase upon parametric resonance for sub-GeV neutrinos
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