6533b7d8fe1ef96bd126a4b1
RESEARCH PRODUCT
Subleading Regge limit from a soft anomalous dimension
Simon Caron-huotJohannes M. HennJohannes M. HennRobin Brüsersubject
High Energy Physics - TheoryNuclear and High Energy PhysicsWilson loopScalar (mathematics)FOS: Physical sciencesComputer Science::Digital Libraries01 natural sciencesPower lawSupersymmetric Gauge Theorysymbols.namesakeHigh Energy Physics - Phenomenology (hep-ph)0103 physical scienceslcsh:Nuclear and particle physics. Atomic energy. RadioactivityScattering Amplitudes010306 general physicsMathematical physicsPhysics010308 nuclear & particles physicsEikonal equation16. Peace & justiceWilson ’t Hooft and Polyakov loopsScattering amplitudeHigh Energy Physics - PhenomenologyAmplitudeHigh Energy Physics - Theory (hep-th)Computer Science::Mathematical SoftwareExponentsymbolslcsh:QC770-798Higgs mechanismdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-04-01 | Journal of High Energy Physics |