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.

12 pages, 1 figure (available upon request)

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Cited by in corpus (11)

• Charm Quark Contribution to K+ -> pi+ nu anti-nu at Next-to-Next-to-Leading Order
• Light-quark Loops in K->pi nu nu
• Evidence for the Decay K+ --> pi+ nu anti-nu
• QCD Corrections to B -> X_{d,s} nu nubar, B_{d,s} -> l^+l^-, K -> pi nu nubar and K_L -> mu^+ mu^- in the MSSM
• CP Violation in the B System and Relations to $K\to \pi \nu \bar{\nu }$ Decays
• Waiting for Precise Measurements of K^+->pi^+ nu nu and K_L->pi^0 nu nu
• Two-Loop Large-$m_t$ Electroweak Corrections to $K\to \pi \nu \bar{\nu }$ for Arbitrary Higgs Boson Mass
• Anatomy of kaon decays and prospects for lepton flavour universality violation
• New Physics in the Third Family and its Effect on Low Energy Data
• Correlating New Physics Effects in Semileptonic $\Delta C=1$ and $\Delta S=1$ Processes
• Estimate of B(K -> pi nu nubar) from Standard Model fits to lambda_t