6533b821fe1ef96bd127c187

RESEARCH PRODUCT

NonleptonicKdecay rate in terms of spectral-function integrals: A short-distance approach

Karl SchilcherN. F. Nasrallah

subject

PseudoscalarPhysicsParticle physicsPionMesonHigh Energy Physics::PhenomenologyHadronQuark modelElementary particleGauge theoryType (model theory)Mathematical physics

description

In unified gauge theories of the weak and electromagnetic interactions it is shown that the matrix element for the decay ${K}_{S}^{0}\ensuremath{\rightarrow}2\ensuremath{\pi}$ can reliably be expressed in terms of integrals over spectral functions if (i) modified spectral-function sum rules of the Das, Mathur, and Okubo type are valid, or if (ii) the strong interactions are asymptotically free and the Glashow-Iliopoulos-Maiani mechanism holds. In these cases the contributions of the low-lying pseudoscalar and vector mesons to the spectral-function integrals suffice to account for the decay rate.

https://doi.org/10.1103/physrevd.15.2465