TY - JOUR
T1 - Scalar one-loop integrals for QCD
AU - Ellis, R. Keith
AU - Zanderighi, Giulia
PY - 2008/2/1
Y1 - 2008/2/1
N2 - We construct a basis set of infra-red and/or collinearly divergent scalar one-loop integrals and give analytic formulas, for tadpole, bubble, triangle and box integrals, regulating the divergences (ultra-violet, infra-red or collinear) by regularization in D = 4-2 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 one-loop integrals. The code returns the coefficients of 1/ 2,1/ 1 and 1/ 0 as complex numbers for an arbitrary tadpole, bubble, triangle or box integral.
AB - We construct a basis set of infra-red and/or collinearly divergent scalar one-loop integrals and give analytic formulas, for tadpole, bubble, triangle and box integrals, regulating the divergences (ultra-violet, infra-red or collinear) by regularization in D = 4-2 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 one-loop integrals. The code returns the coefficients of 1/ 2,1/ 1 and 1/ 0 as complex numbers for an arbitrary tadpole, bubble, triangle or box integral.
KW - NLO computations
KW - QCD
UR - http://www.scopus.com/inward/record.url?scp=40549123371&partnerID=8YFLogxK
U2 - 10.1088/1126-6708/2008/02/002
DO - 10.1088/1126-6708/2008/02/002
M3 - Article
AN - SCOPUS:40549123371
SN - 1126-6708
VL - 2008
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 2
M1 - 002
ER -