Scalar oneloop integrals for QCD
Abstract
We construct a basis set of infrared and/or collinearly divergent scalar oneloop integrals and give analytic formulas, for tadpole, bubble, triangle and box integrals, regulating the divergences (ultraviolet, infrared or collinear) by regularization in D = 42epsilon dimensions. For scalar triangle integrals we give results for our basis set containing 6 divergent integrals. For scalar box integrals we give results for our basis set containing 16 divergent integrals. We provide analytic results for the 5 divergent box integrals in the basis set which are missing in the literature. Building on the work of van Oldenborgh, a general, publicly available code has been constructed, which calculates both finite and divergent oneloop integrals. The code returns the coefficients of 1/epsilon^{2},1/epsilon^{1} and 1/epsilon^{0} as complex numbers for an arbitrary tadpole, bubble, triangle or box integral.
 Publication:

Journal of High Energy Physics
 Pub Date:
 February 2008
 DOI:
 10.1088/11266708/2008/02/002
 arXiv:
 arXiv:0712.1851
 Bibcode:
 2008JHEP...02..002E
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 27 pages, 5 figures, associated fortran code available at http://qcdloop.fnal.gov/. New version corrects typographical error in Eq. 5.2