Dimension-eight Operators in the Weak OPE
Vincenzo Cirigliano, John F. Donoghue, Eugene Golowich
Abstract
We expose a potential flaw in standard treatments of weak decay amplitudes, including that of epsilon'/epsilon. We show that (contrary to conventional wisdom) dimension-eight operators do contribute to weak amplitudes, at order GF alphas and without 1/MW2 suppression. We demonstrate the existence of these operators with a simple weak hamiltonian and proceed to discuss their contribution in a general context. We estimate the effect of dimension-eight operators to be at the 100% level in a sum rule determination of the operator O7 for mu = 1.5 GeV, suggesting presently available values of mu are too low to justify neglect of these effects.
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