Abstract
The sensitivity of the atmospheric neutrino experiments to the nonstandard flavor-dependent interaction in neutrino propagation is studied under the assumption that only nonvanishing components of the nonstandard matter effect are the electron and tau neutrino componentsϵee, andϵeτ,ϵττand that the tau-tau component satisfies the constraintϵττ=|ϵeτ|2/(1+ϵee)which is suggested from the high energy behavior for atmospheric neutrino data. It is shown that the Super-Kamiokande (SK) data for 4438 days constrains|tanβ|≡|ϵeτ/(1+ϵee)|≲0.8at 2.5σ(98.8%) CL whereas the future Hyper-Kamiokande experiment for the same period of time as SK will constrain as|tanβ|≲0.3at 2.5σCL from the energy rate analysis and the energy spectrum analysis will give even tighter bounds onϵeeand|ϵeτ|.
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