An Analytic Formula and an Upper Bound for epsilon'/epsilon in the Standard Model

الأصل · EN

Using the idea of the penguin box expansion we find an analytic expression for epsilon'/epsilon in the Standard Model as a function of mₜ, mₛ(mc) and two non-perturbative parameters B₆ and B₈. This formula includes next-to-leading QCD/QED short distance effects calculated recently by means of the operator product expansion and renormalization group techniques. We also derive an analytic expression for the upper bound on epsilon'/epsilon as a function of |Vcb|, |Vᵤb/Vcb|, Bₖ and other relevant parameters. Numerical examples of the bound are given.