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Selected Works

2001

Quantum Physics

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Full-Text Articles in Physics

Influence Of Dim 8 On Weak Matrix Elements, John Donoghue Dec 2000

Influence Of Dim 8 On Weak Matrix Elements, John Donoghue

John Donoghue

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 p, 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 ...