6533b85efe1ef96bd12c0876

RESEARCH PRODUCT

Non-perturbative renormalization in kaon decays

M. TaleviGiancarlo RossiGuido MartinelliAnastassios VladikasAndrea DoniniV. GimenezMassimo Testa

subject

RenormalizationPhysicsNuclear and High Energy PhysicsHigh Energy Physics - LatticeHigh Energy Physics - Lattice (hep-lat)FOS: Physical sciencesPerturbation theoryNon-perturbativeAtomic and Molecular Physics and OpticsMixing (physics)Mathematical physics

description

We discuss the application of the MPSTV non-perturbative method \cite{NPM} to the operators relevant to kaon decays. This enables us to reappraise the long-standing question of the $\Delta I=1/2$ rule, which involves power-divergent subtractions that cannot be evaluated in perturbation theory. We also study the mixing with dimension-six operators and discuss its implications to the chiral behaviour of the $B_K$ parameter.

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