Comments on long distance contribution to K+ ---> pi+ neutrino anti-neutrino

Jun, 1995
8 pages
Published in:
  • Phys.Lett.B 355 (1995) 569-572
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Abstract:
We study the long distance contribution to $K~+\to\pi~+\nu\bar{\nu$ 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.
Note:
  • 8 pages, LaTeX file
  • K+: semileptonic decay
  • semileptonic decay: K+
  • perturbation theory: chiral
  • effect: long-range
  • K+: branching ratio
  • numerical calculations
  • K+ --> pi+ neutrino antineutrino