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Kaon production in the charged-current neutrino interactions in the T2K near detector

Studies of kaon production in accelerator-based neutrino experiments provide an important con-straint on a 𝐾 + production by atmospheric neutrinos in proton decay searches. Current neutrino-nucleus event generators largely rely on theoretical models for the descriptions of backgrounds due to kaons and need to be verified by measurements. At neutrino energies below 2 GeV, the event rate for processes with a 𝐾 + production is low as compared to pion production channels because of Cabibbo suppression and the relatively large kaon mass. At higher neutrino energies, a different production mechanism dominates, where 𝐾 + is always accompanied by another strange particle to conserve the strangeness. T2K searches for charged-current neutrino interactions that produce a 𝐾 + in the final state in the Fine Grained Detector, a scintillator-based tracking calorimeter, within the T2K near detector ND280. Events with a 𝐾 + are identified in T2K by studying the energy deposition of tracks in the Time Projection Chamber. These proceedings discuss the 𝐾 + sample selection together with the method used to estimate the backgrounds and evaluate a single-bin cross section.