Long distance contribution to $K^{+}\to {\pi }^{+}\nu \bar{\nu }$ decay and $O(p^4)$ terms in CHPT

Abstract

The long distance contribution to $K^{+}\to {\pi }^{+}\nu \bar{\nu }$ is calculated using chiral perturbation theory. The leading contribution comes from $O(p^4)$ tree terms. The branching ratio of the $O(p^4)$ long distance contribution is found to be of order $10_{-3}$ smaller than the short distance contributions.

Comments: 12 pages, 1 figure (available upon request)