Automatic Computation Of Three-Loop Two-Point Functions In Large Momentum Expansion

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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Coefficients of example in Sect. 3 corrected. Latex, 5 pages, 1 ps-figure. Extended version of the contribution to the proceed

Scientific paper

10.1016/S0168-9002(97)00128-9

We discuss the calculation of two-point three-loop functions with an arbitrary number of massive propagators and one large external momentum. The relevant subdiagrams are generated automatically. The resulting massless two-point integrals and massive tadpoles are transformed on-line to FORM-expressions ready to be used by existing FORM packages which calculate them analytically. As an example we compute the quartic mass corrections to the photon polarization function.

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