Infrared singularities of scattering amplitudes in perturbative QCD

Journal Article · Fri Nov 01 04:00:00 EDT 2013 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.111.199905· OSTI ID:1155694

Becher, Thomas ^[1]; Neubert, Matthias ^[2]

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1. Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
2. Johannes Gutenberg-Universitaet Mainz, Mainz (Germany)

An exact formula is derived for the infrared singularities of dimensionally regularized scattering amplitudes in massless QCD with an arbitrary number of legs, valid at any number of loops. It is based on the conjecture that the anomalous-dimension matrix of n-jet operators in soft-collinear effective theory contains only a single non-trivial color structure, whose coefficient is the cusp anomalous dimension of Wilson loops with light-like segments. Its color-diagonal part is characterized by two anomalous dimensions, which are extracted to three-loop order from known perturbative results for the quark and gluon form factors. This allows us to predict the three-loop coefficients of all 1/epsilon^k poles for an arbitrary n-parton scattering amplitudes, generalizing existing two-loop results.

• Research Organization: Fermi National Accelerator Laboratory (FNAL), Batavia, IL
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
• DOE Contract Number: AC02-07CH11359
• OSTI ID: 1155694
• Report Number(s): MZ-TH-09-01; ArticleNumber: 199905
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 19 Vol. 111; ISSN 0031-9007; ISSN PRLTAO
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

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