Subleading Regge limit from a soft anomalous dimension

Abstract

Wilson lines capture important features of scattering amplitudes, for example soft effects relevant for infrared divergences, and the Regge limit. Beyond the leading power approximation, corrections to the eikonal picture have to be taken into account. In this paper, we study such corrections in a model of massive scattering amplitudes in N = 4 super Yang-Mills, in the planar limit, where the mass is generated through a Higgs mechanism. Using known three-loop analytic expressions for the scattering amplitude, we find that the first power suppressed term has a very simple form, equal to a single power law. We propose that its exponent is governed by the anomalous dimension of a Wilson loop with a scalar inserted at the cusp, and we provide perturbative evidence for this proposal. We also analyze other limits of the amplitude and conjecture an exact formula for a total cross-section at high energies.

arXiv comment19 pages, several appendices, many figures

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• Pentagon functions for massless planar scattering amplitudes
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• Generalised power series expansions for the elliptic planar families of Higgs + jet production at two loops
• First Subleading Power Resummation for Event Shapes
• Quantum Spectral Curve and Structure Constants in N=4 SYM: Cusps in the Ladder Limit
• Subleading Power Resummation of Rapidity Logarithms: The Energy-Energy Correlator in $\mathcal{N}=4$ SYM
• Subleading Power Factorization with Radiative Functions
• High-Energy Limit of Mass-Suppressed Amplitudes in Gauge Theories
• An algorithmic approach to finding canonical differential equations for elliptic Feynman integrals
• Broken global symmetries and defect conformal manifolds
• Excited States of One-Dimensional Defect CFTs from the Quantum Spectral Curve
• Evaluating two-loop non-planar master integrals for Higgs + jet production with full heavy-quark mass dependence
• The complete set of two-loop master integrals for Higgs + jet production in QCD
• Multi-Regge Limit of the Two-Loop Five-Point Amplitudes in $\mathcal{N}=4$ Super Yang-Mills and $\mathcal{N}=8$ Supergravity
• Light Quark Mediated Higgs Boson Threshold Production in the Next-to-Leading Logarithmic Approximation
• Towards stability of NLO corrections in High-Energy Factorization via Modified Multi-Regge Kinematics approximation
• Open Fishchain in N=4 Supersymmetric Yang-Mills Theory
• Higgs Boson Production and Quark Scattering Amplitudes at High Energy through the Next-to-Next-to-Leading Power in Quark Mass
• Relativistic Runge-Lenz vector: from $\mathcal{N}=4$ SYM to SO(4) scalar field theory
• Regge Limit of Gauge Theory Amplitudes beyond Leading Power Approximation
• Higher order RG flow on the Wilson line in $\mathcal{N}=4$ SYM