6533b823fe1ef96bd127e017

RESEARCH PRODUCT

Isospin Violation inϵ′

Gerhard F. EckerVincenzo CiriglianoHelmut NeufeldAntonio Pich

subject

PhysicsParticle physicsChiral perturbation theoryBasis (linear algebra)IsospinHigh Energy Physics::PhenomenologyGeneral Physics and AstronomyCP violationHigh Energy Physics::Experiment

description

On the basis of a next-to-leading-order calculation in chiral perturbation theory, the first complete analysis of isospin breaking for direct $CP$ violation in ${K}^{0}\ensuremath{\rightarrow}2\ensuremath{\pi}$ decays is performed. We find a destructive interference between three different sources of isospin violation in the $CP$ violation parameter ${ϵ}^{\ensuremath{'}}$. Within the uncertainties of large-${N}_{c}$ estimates for the low-energy constants, the isospin violating correction for ${ϵ}^{\ensuremath{'}}$ is below 15%.

https://doi.org/10.1103/physrevlett.91.162001