Current correlators to all orders in the quark masses

Details Current correlators to all orders in the quark masses Current correlators to all orders in the quark masses

1992-08-03

arxiv.org/abs/hep-ph/9208201v1

Z.Phys. C60 (1993) 569-578

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, LateX file, TUM-T31-21/92, 1 postscript file included

Scientific paper

10.1007/BF01560056

The contributions to the coefficient functions of the quark and the mixed quark-gluon condensate to mesonic correlators are calculated for the first time to all orders in the quark masses, and to lowest order in the strong coupling constant. Existing results on the coefficient functions of the unit operator and the gluon condensate are reviewed. The proper factorization of short- and long-distance contributions in the operator product expansion is discussed in detail. It is found that to accomplish this task rigorously the operator product expansion has to be performed in terms of non-normal-ordered condensates. The resulting coefficient functions are improved with the help of the renormalization group. The scale invariant combination of dimension 5 operators, including mixing with the mass operator, which is needed for the renormalization group improvement, is calculated in the leading order.

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