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Effect of mc on b quark chromomagnetic interaction and on-shell two-loop integrals with two masses

A. I. Davydychev, A. G. Grozin

hep-pharXiv:hep-ph/9809589

Abstract

The effect of non-zero c quark mass on b quark HQET Lagrangian, up to 1/mb level, is calculated at two loops. The results are expressed in terms of dilogarithmic functions of mc/mb. This calculation involves on-shell two-loop propagator-type diagrams with two different masses, mb and mc. A general algorithm for reducing such Feynman integrals to the basis of two nontrivial and two trivial integrals is constructed.

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