The Influence of Dimension Eight Operators on Weak Matrix Elements

Details The Influence of Dimension Eight Operators on Weak Matrix Elements The Influence of Dimension Eight Operators on Weak Matrix Elements

2000-10-11

arxiv.org/abs/hep-ph/0010111v1

Nucl.Phys.Proc.Suppl. 96 (2001) 329-335

Physics

High Energy Physics

High Energy Physics - Phenomenology

7pages, Invited talk at QCD 2000, Montpellier, July, 2000

Scientific paper

10.1016/S0920-5632(01)01149-5

I describe recent work with V. Cirigliano and E. Golowich on the effect of dimension eight operators on weak nonleptonic amplitudes. The basic message is that there is an inconsistency in the way that many calculations are traditionally performed. If one calculates matrix elements involving only physics below some scale \mu, then one needs dimension eight operators explicitly in the weak OPE. On the other hand if one wants to use dimensional regularization throughout, then one needs all scales to be included within the matrix element, and this results in the same net effect. A numerical estimate indicates that this is important below \mu= 2 GeV, and this calls into question many of the models that have been used to predict \epsilon'/\epsilon.

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