Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-01-26
Eur.Phys.J.C5:525-533,1998
Physics
High Energy Physics
High Energy Physics - Phenomenology
LaTeX, 20pages, 4 figures, submitted to Euro. Phys. Journal C (Z. Phys. C) Some references corrected
Scientific paper
10.1007/s100520050297
We study impacts on new physics search from the rare decay $K^+ \to \pi^+ \nu \bar{\nu}$. In a certain class of new physics models, the extra contributions to FCNC processes can be parametrized by its ratio to the standard model (SM) contribution with the common CKM factors. The ratio $R_1$ has been used in the analysis of $\xd$ and $\epsilon_K$ parameters. In the above class of models, the $K^+ \to \pi^+ \nu \bar{\nu}$ decay amplitude can be parametrized by the ratio $R_2$. Then the experimentally allowed region for new physics contributions can be given in terms of $R_1,R_2$ and the CP violating phase $\delta$ of the CKM matrix. Constraints on $R_1$ and $\cosd$ are obtained by taking account of current experimental data and theoretical uncertainties on $\bbbar$ and $\kkbar$ mixings. We study impacts of future improved measurements by using $(R_1, R_2, \cosd)$ basis. We discuss contributions in the minimal supersymmetric SM and the two Higgs doublet model as examples.
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