Abstract
The sensitivity of the atmospheric neutrino experiments to the non-standard flavor-dependent interaction in neutrino propagation is studied under the assumption that the only nonvanishing components of the non-standard matter effect are the electron and tau neutrino components εee, εeτ, εττ and that the tau-tau component satisfies the constraint eττ = |εeτ| 2/(1 + εee) which is suggested from the high energy behavior for atmospheric neutrino data.
Highlights
Neutrino oscillations in the standard three-flavor scheme are described by three mixing angles, θ12, θ13, θ23, one CP phase δ, and two independent mass-squared differences, ∆m221 and ∆m231.Thanks to the recent progress of the experiments with solar, atmospheric, reactor and accelerator neutrinos, the three mixing angles and the two mass-squared differences have been determined.The only oscillation parameters which are still undetermined are the value of the CP phase δ and the sign of ∆m231
The straight lines |ǫeτ | = 0.8 × |1 + ǫee| in Fig. 3 stand for the approximate bound from the SK atmospheric neutrinos in Fig. 1, and we have examined only the points below these straight lines
In this talk we have discussed the constraint of the SK atmospheric neutrino data on the nonstandard flavor-dependent interaction in neutrino propagation with the ansatz (4)
Summary
Neutrino oscillations in the standard three-flavor scheme are described by three mixing angles, θ12, θ13, θ23, one CP phase δ, and two independent mass-squared differences, ∆m221 and ∆m231. The allowed regions in the (ǫee, |ǫeτ |) plane from the SK atmospheric neutrino data for a normal (inverted) mass hierarchy. 0 |ǫeτ |2/(1 + ǫee) and analyze the sensitivity to the parameters ǫαβ (α, β = e, τ ) of the atmospheric neutrino experiment at Superkamiokande (SK) and the future Hyperkamiokande (HK) facility [6]. This talk is based on the work [5] and the readers are referred to Ref. Since HK is a future experiment, the simulated numbers of events are used as “the experimental data”, and we vary ǫee and ǫeτ as well as the standard oscillation parameters trying to fit to “the experimental data”. We perform an analysis on the assumption that we know the mass hierarchy, because some hint on the mass hierarchy is expected to be available at some confidence level by the time HK will accumulate the atmospheric neutrino data for twenty years
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