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The atmospheric neutrino data collected by the Super-Kamiokande experimentspan about four decades in neutrino energy E, and are thus appropriate to probethe energy dependence of the oscillation wavelength \lambda associated tonu_mu<--->nu_tau flavor transitions, when these are assumed to explain thedata. Such dependence takes the form \lambda^{-1}\propto E^n in a wide class oftheoretical models, including ``standard'' oscillations due to neutrino massand mixing (n=-1), energy-independent oscillations (n=0), and violations of theequivalence principle or of Lorentz invariance (n=1). We study first how thetheoretical zenith distributions of sub-GeV, multi-GeV, and upward-going muonevents change for different integer values of n. Then we perform a detailedanalysis of the Super-Kamiokande data by treating the energy exponent n as afree parameter, with unconstrained scale factors for both the amplitude and thephase of nu_mu<--->nu_tau oscillations. We find a best-fit range n=-0.9 \pm 0.4at 90% C.L., which confirms the standard scenario (n=-1) as the dominantoscillation mechanism, and strongly constrains possible concurrent exoticprocesses (n \neq -1). In particular, we work out the interesting case ofleading standard oscillations plus subleading terms induced by violations ofspecial or general relativity principles, and obtain extremely stringent upperbounds on the amplitude of such violations in the (nu_mu,nu_tau) sector.Comment: 13 pages (RevTeX) + 6 figures (PostScript, color). Requires  epsfig.st

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Testing violations of special and general relativity through the energy dependence of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>ν</mml:mi></mml:mrow><mml:mrow><mml:mi>μ</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>↔</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>ν</mml:mi></mml:mrow><mml:mrow><mml:mi>τ</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>oscillations in the Super-Kamiokande atmospheric neutrino experiment

Testing violations of special and general relativity through the energy dependence ofνμ↔ντoscillations in the Super-Kamiokande atmospheric neutrino experiment