SIMPLE ONE-DIMENSIONAL INTEGRAL-REPRESENTATIONS FOR 2-LOOP SELF-ENERGIES - THE MASTER DIAGRAM

Authors
BAUBERGER S BOHM M
Citation
S. Bauberger et M. Bohm, SIMPLE ONE-DIMENSIONAL INTEGRAL-REPRESENTATIONS FOR 2-LOOP SELF-ENERGIES - THE MASTER DIAGRAM, Nuclear physics. B, 445(1), 1995, pp. 25-46
Citations number
31
Categorie Soggetti
Physics, Nuclear
Journal title
Nuclear physics. B → ACNP
ISSN journal
05503213
Volume
445
Issue
1
Year of publication
1995
Pages
25 - 46
Database
ISI
SICI code
0550-3213(1995)445:1<25:SOIF2S>2.0.ZU;2-B
Abstract
The scalar two-loop self-energy master diagram is studied in the case of arbitrary masses. Analytical results in terms of Lauricella- and Ap pell-functions are presented for the imaginary part. By using the disp ersion relation a one-dimensional integral representation is derived. This representation uses only elementary functions and is thus well su ited for a numerical calculation of the master diagram.