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

Abstract

We 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.

29 pages, 8 figures, final version published in J. High Energy Phys

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Cited by in corpus (8)

• Non-unitary neutrino mixing and CP violation in the minimal inverse seesaw model
• Interpretation of MINOS data in terms of non-standard neutrino interactions
• MiniBooNE and LSND data: non-standard neutrino interactions in a (3+1) scheme versus (3+2) oscillations
• Non-standard neutrino oscillations: perspective from unitarity triangles
• Evolution of Neutrino Mass-Mixing Parameters in Matter with Non-Standard Interactions
• One-Loop Effects in the Neutrino Matter Potential and Implications for Non-Standard Interactions
• The effect of non-standard interactions and environmental decoherence at DUNE
• A Fourth Neutrino and its Consequences on CP Asymmetries