Exact and Approximate Formulas for Neutrino Mixing and Oscillations with Non-Standard Interactions

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dc.creatorMeloni, Davide
dc.creatorOhlsson, Tommy
dc.creatorZhang, He
dc.date2009-01-13
dc.date2009-04-07
dc.date.accessioned2026-07-07T13:00:34Z
dc.date.available2026-07-07T13:00:34Z
dc.descriptionWe present, both exactly and approximately, a complete set of mappings between the vacuum (or fundamental) leptonic mixing parameters and the effective ones in matter with non-standard neutrino interaction (NSI) effects included. Within the three-flavor neutrino framework and a constant matter density profile, a full set of sum rules is established, which enables us to reconstruct the moduli of the effective leptonic mixing matrix elements, in terms of the vacuum mixing parameters in order to reproduce the neutrino oscillation probabilities for future long-baseline experiments. Very compact, but quite accurate, approximate mappings are obtained based on series expansions in the neutrino mass hierarchy parameter η\equiv Δm^2_{21}/Δm^2_{31}, the vacuum leptonic mixing parameter s_{13} \equiv \sinθ_{13}, and the NSI parameters ε_{αβ}. A detailed numerical analysis about how the NSIs affect the smallest leptonic mixing angle θ_{13}, the deviation of the leptonic mixing angle θ_{23} from its maximal mixing value, and the transition probabilities useful for future experiments are performed using our analytical results.
dc.description29 pages, 8 figures, final version published in J. High Energy Phys
dc.identifierhttps://arxiv.org/abs/0901.1784
dc.identifierhttp://arxiv.org/abs/0901.1784
dc.identifierJHEP 0904:033,2009
dc.identifierdoi:10.1088/1126-6708/2009/04/033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225877
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Experiment
dc.titleExact and Approximate Formulas for Neutrino Mixing and Oscillations with Non-Standard Interactions
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