Scalar one-loop integrals for QCD
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{epsilon} 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/{epsilon}{sup 2}, 1/{epsilon}{sup 1} and 1/{epsilon}{sup 0} as complex numbers for an arbitrary tadpole, bubble, triangle or box integral.
- Research Organization:
- Fermi National Accelerator Laboratory (FNAL), Batavia, IL
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC02-07CH11359
- OSTI ID:
- 924930
- Report Number(s):
- FERMILAB-PUB-07-633-T; arXiv eprint number arXiv:0712.1851
- Journal Information:
- JHEP 0802:002,2008, Journal Name: JHEP 0802:002,2008 Journal Issue: 02 Vol. 08
- Country of Publication:
- United States
- Language:
- English
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