Feynman diagrams to three loops in threedimensional field theory
Abstract
The twopoint integrals contributing to the selfenergy of a particle in a threedimensional quantum field theory are calculated to twoloop order in perturbation theory as well as the vacuum ones contributing to the effective potential to threeloop order. For almost every integral an expression in terms of elementary and dilogarithm functions is obtained. For two integrals, the master integral and the Mercedes integral, a onedimensional integral representation is obtained with an integrand consisting only of elementary functions. The results are applied to a scalar λφ^{4} theory.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1996
 DOI:
 10.1016/S05503213(96)004749
 arXiv:
 arXiv:hepph/9606216
 Bibcode:
 1996NuPhB.480..729R
 Keywords:

 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 29 pages, latex, 7 figures drawn with feynMF package, added an erratum file published in NPB513(1998)761 (single copies can be downloaded and printed for the reader's personal research and study, see http://www.elsevier.com/locate/nuclphysb)