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We conjecture that the neutrino mixing matrix must be such that in theflavour oscillation process the energy expectation values enjoy flavourindependence. Based on this conjecture we present unitarity and energyconservation constraints on neutrino oscillation parameters. In our analysis\theta_{13} depends on the ratio of the mass-squared differences \zeta and on\theta_{12} alone; while \delta_{CP} is completely determined by \zeta,\theta_{12}, and \theta_{23}. The standard neutrino oscillation phenomenology(SNOP) suggests \zeta \approx 30. The resulting prediction for \theta_{13}conflicts with SNOP expectation for all values of \theta_{12}. This leads tothe suggestion that some non-standard neutrino interactions may be interveningto invalidate the SNOP inferred \zeta and \theta_{13}. An alternate inferenceis to go beyond the three flavours of SNOP and incorporate sterile neutrinos inthe analysis.

Neutrino oscillations: Inevitability of non-standard interactions or a sterile neutrino