K_L to π^+ π^- e^+ e^-

Abstract

We calculate all of the form factors for the one-photon, $K_L\to {\pi }^{+}{\pi }^{-}{\gamma }^{\ast }\to {\pi }^{+}{\pi }^{-}{e}^{+}{e}^{-}$ contribution to the $K_L\to {\pi }^{+}{\pi }^{-}{e}^{+}{e}^{-}$ decay amplitude at leading order in chiral perturbation theory. These form factors depend on one unknown constant that is a linear combination of coefficients of local $\mathcal{O}(p^4)$ operators in the chiral lagrangian for weak radiative kaon decay. We determine the differential rate for $\K$ and also the magnitude of two CP violating observables.

20 pages, 11 uuencoded figures included, uses harvmac, epsf and tables

References in corpus (2)

• The Chiral Anomaly in Non-Leptonic Weak Interactions
• Non-Leptonic Kaon Decays and the Chiral Anomaly

Cited by in corpus (18)

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