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The rare decay \(K_{\mathrm{L}} \rightarrow\pi^{0} \mu^{ + } \mu^{-}\) within the SM

  • G. Isidori
  • C. Smith
  • R. Unterdorfer
theoretical physics

Abstract.

We present an updated analysis of the rare decay \(K_{\mathrm{L}} \rightarrow\pi^{0} \mu^{ + } \mu^{-}\) within the standard model. In particular, we present the first complete calculation of the two-photon CP-conserving amplitude within chiral perturbation theory, at the lowest non-trivial order. Our results confirm the previous findings that the CP-conserving contribution to the decay rate cannot be neglected. By means of an explicit two-loop calculation, we show that this contribution can be estimated with sufficient accuracy compared to the CP-violating terms. We predict \({\cal B}(K_{\mathrm{L}}\rightarrow\pi^{0}\mu^{ + } \mu^{-})_{\mathrm{SM}} = (1.5\pm0.3)\times10^{-11}\), with approximately equal contributions from the CP-conserving component, the indirect-CP-violating term, and the interesting direct-CP-violating amplitude. The error of this prediction is mainly of parametric nature and could be substantially reduced with better data on the \(K_{\mathrm{S}}\rightarrow\pi^{0}\ell^{ + }\ell^{-}\) modes. The standard model predictions for various differential distributions and the sensitivity to possible new-physics effects are also briefly discussed.

Keywords

Model Prediction Perturbation Theory Decay Rate Good Data Sufficient Accuracy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2004

Authors and Affiliations

  • G. Isidori
    • 1
    • 2
  • C. Smith
    • 1
  • R. Unterdorfer
    • 1
    • 3
  1. 1.INFNLaboratori Nazionali di FrascatiFrascatiItaly
  2. 2.Institut für Theoretische PhysikUniversität BernBernSwitzerland
  3. 3.Institut für Theoretische PhysikUniversität WienWienAustria

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