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The T2K experiment brings the world leading constraints on the atmospheric parameters, sin2θ23 = 0.514 ± 0.082 and |Δm322| = (2.44−0.15+0.17) × 10−3eV2.c−4, along with first observation of the electron neutrino appearance in the muon neutrino beam. In the upcoming years, a higher precision measurement of the PMNS matrix parameters with possible evidence of a non zero CP violation phase requires a reduction in the main systematics which come from the cross section model. The INGRID detector is the onaxis detector of the long-baseline T2K experiment. Though its main goal is to monitor the neutrino flux intensity and off-axis angle, this proceeding presents the νμ cross section measurements that have been performed to reduce the uncertainty on the neutrino cross section models

T2K on-axis detector results: cross section measurements