Dimension-eight Operators in the Weak OPE
High Energy Physics - Phenomenology
2014-11-17 v1
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 G_F alpha_s and without 1/M_W^2 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 O_7 for mu = 1.5 GeV, suggesting presently available values of mu are too low to justify neglect of these effects.
Keywords
Cite
@article{arxiv.hep-ph/0007196,
title = {Dimension-eight Operators in the Weak OPE},
author = {Vincenzo Cirigliano and John F. Donoghue and Eugene Golowich},
journal= {arXiv preprint arXiv:hep-ph/0007196},
year = {2014}
}
Comments
21 pages, LaTeX, 4 figures