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

Abstract

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

LaTeX2e, 17 pages, 3 inline figures, requires axodraw.sty; two references added, REDUCE program is now available at http://www.inp.nsk.su/~grozin/Mm.red

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