Abstract
The analytical equations for neutrino oscillation probabilities are developed for 3\(+\)1 neutrino framework. Latest constraints on sterile parameters, imposed by SBL and Icecube experiments are considered for our analysis. Golden and discovery channels are selected for the investigation of T violation. Discovery channel in normal hierarchy mode appears to be a better choice for probing T violation. The CPT violation is explored for \({\nu }_{\mu }\rightarrow {\nu }_{\mu }\) channel. For sterile mixing angle \(\theta _{34}=40^{0}\), the large CPT violating effects due to presence of sterile neutrino will completely hide the CPT violating effects arising due to three neutrino framework.
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