Long-distance dimension-eight operators inBK

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Long-distance dimension-eight operators in BK

Besides their appearance at short distances >∼ 1/MW , local dimension-eight operators also contribute to kaon matrix elements at long distances of order ∼ 1/μope, where μope is the scale controlling the Operator Product Expansion in pure QCD, without weak interactions. This comes about in the matching condition between the effective quark Lagrangian and the Chiral Lagrangian of mesons. Working ...

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The Weak Ope and Dimension - Eight Operators

We discuss recent work which identifies a potential flaw in standard treatments of weak decay amplitudes , including that of ǫ ′ /ǫ. The point is that (contrary to conventional wisdom) dimension-eight operators contribute to weak amplitudes at order G F αs and without 1/M 2 W suppression. The effect of dimension-eight operators is estimated to be at the 100% level in a sum rule determination of...

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Dimension-eight operators in the weak OPE

We argue that there is a potential flaw in the standard treatment of weak decay amplitudes, including that of ′/ . We show that (contrary to conventional wisdom) dimension-eight operators do contribute to weak amplitudes, at order GF αs and without 1/M2 W suppression. We demonstrate the existence of these operators through the use of a simple weak hamiltonian. Their contribution appears in diff...

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P and T violation from certain dimension-eight Weinberg operators.

Dimension eight operators of the Weinberg type have been shown to give important contributions to CP violating phenomena, such as the electric dipole moment of the neutron. In this note we show how operators related to these (and expected to occur on equal footing) can give rise to time-reversal violating phenomena such as atomic electric dipole moments. We also estimate the induced parity viol...

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The influence of dimension eight operators on weak matrix elements

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 μ, then one needs dimension eight operators explicitly in the weak OPE. On ...

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ژورنال

عنوان ژورنال: Journal of High Energy Physics

سال: 2003

ISSN: 1029-8479

DOI: 10.1088/1126-6708/2003/03/060