High-energy QCD amplitudes at two loops and beyond

Abstract

Recent progress in our understanding of infrared singularities of multi-parton amplitudes has shown that the simplest form of Regge factorization for high-energy gauge-theory amplitudes fails starting at next-to-next-to-leading logarithmic accuracy. We provide a framework to organize the calculation of parton amplitudes at leading power in t/s, in terms of factorizing and non-factorizing contributions. This allows us to give explicit expressions for the leading Reggeization-breaking terms in two-loop and three-loop quark and gluon amplitudes in QCD. In particular, using only infrared information, we recover a known non-factorizing, non-logarithmic double-pole contribution at two-loops, and we compute the leading non-factorizing single-logarithmic contributions at three loops.

17 pages

References in corpus (5)

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Cited by in corpus (30)

• An Effective Field Theory for Forward Scattering and Factorization Violation
• Bootstrapping the QCD soft anomalous dimension
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• Two-parton scattering in the high-energy limit
• Three-loop gluon scattering in QCD and the gluon Regge trajectory
• Analyzing high-energy factorization beyond next-to-leading logarithmic accuracy
• Disentangling the Regge cut and Regge pole in perturbative QCD
• Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops
• Ultraviolet divergences and factorization for coordinate-space amplitudes
• Employing Helicity Amplitudes for Resummation
• Three-loop helicity amplitudes for quark-gluon scattering in QCD
• Particularities of the NNLLA BFKL
• Infrared singularities of QCD scattering amplitudes in the Regge limit to all orders
• Multiple Gluon Exchange Webs
• Reggeon cuts in QCD amplitudes with negative signature
• The gluon Regge trajectory at three loops from planar Yang-Mills theory
• The analytic structure and the transcendental weight of the BFKL ladder at NLL accuracy
• Climbing three-Reggeon ladders: four-loop amplitudes in the high-energy limit in full colour
• Anomalous Dimensions from Soft Regge Constants
• Aspects of High Energy Scattering
• The SAGEX Review on Scattering Amplitudes, Chapter 15: The Multi-Regge Limit
• Iterating QCD scattering amplitudes in the high-energy limit
• One-loop impact factor for the emission of two gluons
• Regge poles and cuts and the Lipatov vertex
• The two-loop Higgs impact factor
• All-loop-orders relation between Regge limits of $\mathcal{N}=4$ SYM and $\mathcal{N}=8$ supergravity four-point amplitudes
• A tale of two Regge limits
• Quark-Gluon Backscattering in the Regge Limit at One-Loop
• Effective Field Theories for the LHC
• One-loop central-emission vertex for two gluons in $\mathcal{N}=4$ super Yang-Mills theory