$K_{L e5}$ decay as a background in search for $K_{L} \to π^{0} μ^{\pm} e^{\mp}$

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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RevTeX, 10 pages, 1 figure available upon request, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.51.3455

We consider a process $K_{L e5} ( K_{L} \rightarrow \pi^{0} \pi^{0} \pi^{\pm} e^{\mp} \nu )$ as a standard model background to the experiment $K_{L} \rightarrow \pi^{0} \mu^{\pm} e^{\mp}$, which seeks for possible violation of lepton family number. Using the lowest order chiral lagrangian, we find that the branching ratio for $K_{L} \rightarrow \pi^{0} \pi^{0} \pi^{\pm} e^{\mp} \nu $ to be $6.2 \times 10^{-12}$. A similar decay $K_{L} \rightarrow \pi^{\mp} \pi^{\mp} \pi^{\pm} e^{\pm} \nu$ has a branching ratio, $1.7 \times 10^{-11}$.

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