Perturbation Theory of Neutrino Oscillation with Nonstandard Neutrino Interactions

Abstract

We discuss various physics aspects of neutrino oscillation with non-standard interactions (NSI). We formulate a perturbative framework by taking Δm^2_{21} / Δm^2_{31}, s_{13}, and the NSI elements ε_{αβ} (α, β= e, μ, τ) as small expansion parameters of the same order ε. Within the εperturbation theory we obtain the S matrix elements and the neutrino oscillation probability formula to second order (third order in ν_e related channels) in ε. The formula allows us to estimate size of the contribution of any particular NSI element ε_{αbeta} to the oscillation probability in arbitrary channels, and gives a global bird-eye view of the neutrino oscillation phenomena with NSI. Based on the second-order formula we discuss how all the conventional lepton mixing as well as NSI parameters can be determined. Our results shows that while θ_{13}, δ, and the NSI elements in ν_e sector can in principle be determined, complete measurement of the NSI parameters in the ν_μ- ν_τsector is not possible by the rate only analysis. The discussion for parameter determination and the analysis based on the matter perturbation theory indicate that the parameter degeneracy prevails with the NSI parameters. In addition, a new solar-atmospheric variable exchange degeneracy is found. Some general properties of neutrino oscillation with and without NSI are also illuminated.

manuscript restructured, discussion of new type of parameter degeneracy added. 47 pages

References in corpus (8)

• Unitarity of the Leptonic Mixing Matrix
• Non-standard neutrino interactions in reactor and superbeam experiments
• Neutrino factory optimization for non-standard interactions
• Resolving Eight-Fold Neutrino Parameter Degeneracy by Two Identical Detectors with Different Baselines
• Probing Non-Standard Neutrino Interactions with Neutrino Factories
• Probing Nonstandard Neutrino Physics by Two Identical Detectors with Different Baselines
• Physics with a very long neutrino factory baseline
• On in situ Determination of Earth Matter Density in Neutrino Factory

Cited by in corpus (4)

• Imprints of CP violation induced by sterile neutrinos in T2K data
• Bounds on Non-Standard Neutrino Interactions Using PINGU
• Non-Standard Neutrino Interactions in the mu-tau sector
• Exact and Approximate Formulas for Neutrino Mixing and Oscillations with Non-Standard Interactions