Calculation of πμ atom decay rate as possible background for KL->π0νν

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Formation and decay of elementary particle bound states have importance both from theoretical point of view regarding quark sector structure and for rare decay experiment background. The KOTO experiment, dedicated to measuring branching ratio of rare decayKL->π0νν, whose SM prediction branching ratio is 2.4 x10-11, is consequently sensitive to background ofKL->(π^+μ^-)atomν, followed by muon capture in the πμ atom. The branching ratio of πμ atom formation has been calculated and measured to be order of 10-7. The muon capture rate of πμ into π^0ν is calculated and reported for the first time and compared to competing decay modes.

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