IR divergences and Regge limits of subleading-color contributions to the four-gluon amplitude in N=4 SYM Theory

Abstract

We derive a compact all-loop-order expression for the IR-divergent part of the N=4 SYM four-gluon amplitude, which includes both planar and all subleading-color contributions, based on the assumption that the higher-loop soft anomalous dimension matrices are proportional to the one-loop soft anomalous dimension matrix, as has been recently conjectured. We also consider the Regge limit of the four-gluon amplitude, and we present evidence that the leading logarithmic growth of the subleading-color amplitudes is less severe than that of the planar amplitudes. We examine possible 1/N^2 corrections to the gluon Regge trajectory, previously obtained in the planar limit from the BDS ansatz. The double-trace amplitudes have Regge behavior as well, with a nonsense-choosing Regge trajectory and a Regge cut which first emerges at three loops.

29 pages; v2: corrections to sections 5.1 and 5.2, references added; v3: clarification in introduction, references added; v4: published version

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Cited by in corpus (16)

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• Bootstrapping the QCD soft anomalous dimension
• Higgs-regularized three-loop four-gluon amplitude in N=4 SYM: exponentiation and Regge limits
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• Wilson line approach to gravity in the high energy limit
• More loops and legs in Higgs-regulated N=4 SYM amplitudes
• On the renormalization of multiparton webs
• All-loop infrared-divergent behavior of most-subleading-color gauge-theory amplitudes
• Multiple Gluon Exchange Webs
• Linear relations between N >= 4 supergravity and subleading-color SYM amplitudes
• One-loop SYM-supergravity relation for five-point amplitudes
• On KLT and SYM-supergravity relations from 5-point 1-loop amplitudes
• Celestial IR divergences in general most-subleading-color gluon and gravity amplitudes
• Applications of Subleading-color Amplitudes in N=4 SYM Theory
• Twistor and Polytope Interpretations for Subleading Color One-Loop Amplitudes
• All-loop-orders relation between Regge limits of $\mathcal{N}=4$ SYM and $\mathcal{N}=8$ supergravity four-point amplitudes