Scalar one-loop integrals for QCD
Dec, 200727 pages
Published in:
- JHEP 02 (2008) 002
e-Print:
- 0712.1851 [hep-ph]
Report number:
- FERMILAB-PUB-07-633-T,
- OUTP-07-16P
Citations per year
Abstract: (arXiv)
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 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 and as complex numbers for an arbitrary tadpole, bubble, triangle or box integral.- NLO Computations
- QCD
- loop integral: 4
- loop integral: 3
- loop integral: 1
- quantum chromodynamics
- regularization
- formula
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