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Article overview
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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 | Abstract: | In 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 | Services: | Forum | Review | PDF | Favorites |
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