Kaon Weak Decays in Chiral Theories

Abstract

The ten nonleptonic weak decays $K\to 2\pi$, $K\to 3\pi$, $K_L\to 2\gamma$, $K_S\to 2\gamma$, $K_L\to {\pi }^{\circ }2\gamma$, are predicted for a chiral pole model based on the linear sigma model theory which automatically satisfies the partial conservation of axial current (PCAC) hypothesis. These predictions, agreeing with data to the 5% level and containing no or at most one free parameter, are compared with the results of chiral perturbation theory (ChPT). The latter ChPT approach to one-loop level is known to contain at least four free parameters and then predicts a $K_L\to {\pi }^{\circ }\gamma \gamma$ rate which is 60% shy of the experimental value. This suggests that ChPT is an unsatisfactory approach towards predicting kaon weak decays.

12 pages, 8 eps figures

References in corpus (1)

• Dynamical generation of the gauged SU(2) linear sigma model

Cited by in corpus (3)

• Continuum bound states K-long, D_{1}(2420), D_{s1}(2536) and their partners K-short, D_{1}(2400), D*_{sJ}(2463)
• Identifying the quark content of the isoscalar scalar mesons f_0(980), f_0(1370), and f_0(1500) from weak and electromagnetic processes
• W-boson unitarity effects and oscillations in the neutral Kaon system