Simple one-dimensional integral representations for two-loop self-energies: the master diagram
High Energy Physics - Phenomenology
2009-10-28 v1
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
Cite
@article{arxiv.hep-ph/9501201,
title = {Simple one-dimensional integral representations for two-loop self-energies: the master diagram},
author = {S. Bauberger and M. Boehm},
journal= {arXiv preprint arXiv:hep-ph/9501201},
year = {2009}
}
Comments
20 pages, LaTex, 3 eps-figures (uuencoded) appended