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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 ofchiral 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 logarithmicapproximation are at least seven orders of magnitude suppressed relative tothose from the short distance parts. The long distance effects in this class ofdecays are therefore negligible.Comment: 13 pages, LaTeX fil

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Study of long distance contributions to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>K</mml:mi><mml:mo>→</mml:mo><mml:mi>n</mml:mi><mml:mi>π</mml:mi><mml:mi>ν</mml:mi><mml:mrow><mml:mrow><mml:mover><mml:mrow><mml:mi>ν</mml:mi></mml:mrow><mml:mrow><mml:mi>¯</mml:mi></mml:mrow></mml:mover></mml:mrow></mml:mrow></mml:math>

Study of long distance contributions toK→nπνν¯