The decays $K \to ππν\overlineν$ within the standard model

Details The decays $K \to ππν\overlineν$ within the standard model The decays $K \to ππν\overlineν$ within the standard model

1995-12-23

arxiv.org/abs/hep-ph/9512413v2

Phys.Lett. B385 (1996) 379-384

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, LaTeX, 2 Postscript figures. Title and abstract have been revised to better reflect the content of the paper. This i

Scientific paper

10.1016/0370-2693(96)00845-3

We study the reactions $K \rightarrow \pi \pi \nu \overline{\nu}$ within the minimal standard model. We use isospin symmetry to relate the matrix elements to the form factors measured in $K_{\ell 4}$. We argue that these modes are short distance dominated and can be used for precise determinations of the CKM parameters $\rho$ and $\eta$. Depending on the value of the CKM angles we find branching ratios in the following ranges: $B(K_L \rightarrow \pi^+ \pi^- \nu \overline{\nu}) = [2-5] \times 10^{-13}$; $B(K_L \rightarrow \pi^0 \pi^0 \nu \overline{\nu}) = [1-3] \times 10^{-13}$; $B(K^+ \rightarrow \pi^+ \pi^0 \nu \overline{\nu}) = [1-2] \times 10^{-14}$. We also discuss a possible $CP$-odd observable.

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