Study of Non-Standard Neutrino Interactions with Atmospheric Neutrino Data in Super-Kamiokande I and II

In this paper we study non-standard neutrinointeractions as an example of physics beyondthe standard modelusing atmospheric neutrinodata collected during the Super-KamiokandeI(1996-2001) and II(2003-2005) periods. We focus on flavor-changing-neutral-currents(FCNC), which allow neutrino flavortransitions via neutral currentinteractions, and effects which violate lepton non-universality (NU) and give rise to different neutral-currentinteraction-amplitudes for different neutrino flavors. We obtain a limit on the FCNC coupling parameter, varepsilon_{mu tau}, |varepsilon_{mu tau}|<1.1 x 10^{-2} at 90%C.L. and various constraints on other FCNC parameters as a function of the NU coupling, varepsilon_{e e}. We find no evidence of non-standard neutrinointeractions in the Super-Kamiokandeatmospheric data.