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Comments on long distance contribution to $K^+\toπ^+ν\barν$

C. Q. Geng·I. J. Hsu·Y. C. Lin
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Abstract

We study the long distance contribution to $K^+\toπ^+ν\bar{ν$ by using chiral perturbation theory. We find that the tree level $O(P^2)$ contribution vanishes identically without assuming the large $N_c$ limit. The leading contribution arises from the one-loop amplitude, which is $O(P^4)$ in the chiral power counting. The branching ratio of the long distance contribution is found to be of order $10^{-7}$ smaller compared with that of short distance one and hence is completely negligible.

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C. Q. Geng, I. J. Hsu, Y. C. Lin. 1995-06-13. Comments on long distance contribution to $K^+\toπ^+ν\barν$. https://doi.org/10.1016/0370-2693(95)00774-f

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