Study of Long Distance Contributions to $K\to n\pi \nu \bar{\nu }$

Abstract

We calculate long distance contributions to $K\to \pi \nu \bar{\nu },\pi \pi \nu \bar{\nu }$, and $\pi \pi \pi \nu \bar{\nu }$ modes within the framework of chiral perturbation theory. We find that these contributions to decay rates of $K\to \pi \nu \bar{\nu }$ and $K\to \pi \pi \nu \bar{\nu }$ in the chiral logarithmic approximation are at least seven orders of magnitude suppressed relative to those from the short distance parts. The long distance effects in this class of decays are therefore negligible.

13 pages, LaTeX file

References in corpus (6)

• The Rare Decays $K^{+}\to {\pi }^{+}\nu \bar{\nu }$\ and $K_L\to {\mu }^{+}{\mu }^{-}$\ Beyond Leading Logarithms
• The Chiral Anomaly in Non-Leptonic Weak Interactions
• Rare and Radiative Kaon Decays
• Long Distance Contribution to $K^{+}\to {\pi }^{+}\nu \bar{\nu }$
• Comments on long distance contribution to $K^{+}\to {\pi }^{+}\nu \bar{\nu }$
• CP Conserving and Violating Contributions to $K_L\to {\pi }^{+}{\pi }^{-}\nu \bar{\nu }$

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• Waiting for Precise Measurements of K^+->pi^+ nu nu and K_L->pi^0 nu nu
• Search for the Decay K+ -> pi+ pi0 nu nubar
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