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A class of extensions of the Standard Model allows Lorentz and CPTviolations, which can be identified by the observation of sidereal modulationsin the neutrino interaction rate. A search for such modulations was performedusing the T2K on-axis near detector. Two complementary methods were used inthis study, both of which resulted in no evidence of a signal. Limits onassociated Lorentz and CPT violating terms from the Standard Model Extensionhave been derived taking into account their correlations in this model for thefirst time. These results imply such symmetry violations are suppressed by afactor of more than $10^{20}$ at the GeV scale.

Search for Lorentz and CPT violation using sidereal time dependence of neutrino flavor transitions over a short baseline