Testing high-energy factorization beyond the next-to-leading-logarithmic accuracy

Abstract

By taking the high-energy limit of the two-loop and the three-loop four-point amplitudes in the maximally supersymmetric N=4 Yang-Mill theory (MSYM), we test the validity of the loop expansion of the high-energy amplitude, beyond the next-to-leading-logarithmic (NLL) accuracy. We compute the three-loop Regge trajectory, and the two-loop and three-loop coefficient functions. These quantities are relevant for the BFKL evolution beyond NLL, as well as building MSYM two-loop and three-loop amplitudes with many legs in the high-energy limit, which in turn may be used as a powerful check of the evaluation of the corresponding exact amplitudes.

13 pages, it uses JHEP3 style; corrected typos; accepted by JHEP

References in corpus (9)

• Gluon scattering amplitudes at strong coupling
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• Comments on gluon scattering amplitudes via AdS/CFT
• Hexagon Wilson loop = six-gluon MHV amplitude
• The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
• The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude
• BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes
• Regge behavior of gluon scattering amplitudes in N=4 SYM theory

Cited by in corpus (21)

• Hexagon Wilson loop = six-gluon MHV amplitude
• BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes
• The infrared structure of gauge theory amplitudes in the high-energy limit
• Higgs-regularized three-loop four-gluon amplitude in N=4 SYM: exponentiation and Regge limits
• Wilson line approach to gravity in the high energy limit
• More loops and legs in Higgs-regulated N=4 SYM amplitudes
• Three-loop gluon scattering in QCD and the gluon Regge trajectory
• Iterated amplitudes in the high-energy limit
• All-order amplitudes at any multiplicity in the multi-Regge limit
• Disentangling the Regge cut and Regge pole in perturbative QCD
• Analyticity for Multi-Regge Limits of the Bern-Dixon-Smirnov Amplitudes
• The Principle of Maximal Transcendentality and the Four-Loop Collinear Anomalous Dimension
• Particularities of the NNLLA BFKL
• Critical gravitational collapse: towards a holographic understanding of the Regge region
• The gluon Regge trajectory at three loops from planar Yang-Mills theory
• IR divergences and Regge limits of subleading-color contributions to the four-gluon amplitude in N=4 SYM Theory
• Iterating QCD scattering amplitudes in the high-energy limit
• The five-gluon amplitude in the high-energy limit
• All-loop-orders relation between Regge limits of $\mathcal{N}=4$ SYM and $\mathcal{N}=8$ supergravity four-point amplitudes
• The long road from Regge poles to the LHC
• A tale of two Regge limits