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09 February 2025
 
  » arxiv » 1508.0052

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Neutrino Oscillation Probabilities in Matter with Direct and Indirect Unitarity Violation in the Lepton Mixing Matrix
Yu-Feng Li ; Shu Luo ;
Date 1 Aug 2015
AbstractIn the presence of both direct and indirect unitarity violation in the lepton mixing matrix, we derive a complete set of series expansion formulas for neutrino oscillation probabilities in matter of constant density. Expansions in the mass hierarchy parameter $alpha equiv Delta m_{21}^{2} / Delta m_{31}^{2}$ and those unitarity violation parameters $s^{2}_{ij}$ (for i = 1, 2, 3 and j = 4, 5, 6) up to the first order are studied in this paper. We analyse the accuracy of the analytical series expansion formulas in different regions of L / E. A detailed numerical analysis is also performed, of which the different effects of the direct and the indirect unitarity violation are particularly emphasized. We also study in this paper the summed $ u^{}_{alpha} ightarrow u^{}_{e, u, au}$ probabilities, whose deviation from the unity provides a definite signal of the unitarity violation.
Source arXiv, 1508.0052
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