Simple one-dimensional integral representations for two-loop self-energies: the master diagram

Abstract

The scalar two-loop self-energy master diagram is studied in the case of arbitrary masses. Analytical results in terms of Lauricella- and Appell-functions are presented for the imaginary part. By using the dispersion relation a one-dimensional integral representation is derived. This representation uses only elementary functions and is thus well suited for a numerical calculation of the master diagram.

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References in corpus (4)

• Reduction of general two-loop self-energies to standard scalar integrals
• Calculation of Feynman Diagrams from their Small Momentum Expansion
• Large momentum expansion of two-loop self-energy diagrams with arbitrary masses
• Application of conformal mapping and Padé approximants $(\omega P^{\prime }s)$ to the calculation of various two-loop Feynman diagrams

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