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

Preprint

2 January 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-ph/9501201

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.

Keywords

DIMENSIONAL INTEGRAL REPRESENTATIONS
INTEGRAL REPRESENTATION
DISPERSION RELATION
LOOP SELF ENERGIES
MASTER DIAGRAM
REPRESENTATION
TWO LOOP

All Related Versions

Version 1, 1995-01-02, ArXiv
Published version: Nuclear Physics B, 445 (1), 25.

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