6533b829fe1ef96bd128a5a8
RESEARCH PRODUCT
High-energy evolution to three loops
Simon Caron-huotMatti HerranenMatti Herranensubject
High Energy Physics - TheoryNuclear and High Energy PhysicsDifferential equationFOS: Physical sciencesYang–Mills theory01 natural sciences114 Physical sciencesperturbative QCDSupersymmetric Gauge TheoryPomeronHARMONIC POLYLOGARITHMSHigh Energy Physics - Phenomenology (hep-ph)supersymmetriaPerturbative QCD0103 physical scienceslcsh:Nuclear and particle physics. Atomic energy. RadioactivityGauge theoryLimit (mathematics)Scattering Amplitudes010306 general physicsQCD AMPLITUDESsupersymmetric gauge theoryMathematical physicsPhysicsPOMERONta114010308 nuclear & particles physicsMASS SINGULARITIESPerturbative QCDDIFFERENTIAL-EQUATIONSscattering amplitudesScattering amplitudeHigh Energy Physics - PhenomenologyHigh Energy Physics - Theory (hep-th)Supersymmetric gauge theoryresummationYANG-MILLS THEORYlcsh:QC770-798ResummationkvanttikenttäteoriaTO-LEADING ORDERGAUGE-THEORYAPPROXIMATIONdescription
The Balitsky-Kovchegov equation describes the high-energy growth of gauge theory scattering amplitudes as well as nonlinear saturation effects which stop it. We obtain the three-loop corrections to this equation in planar $\mathcal{N}=4$ super Yang-Mills theory. Our method exploits a recently established equivalence with the physics of soft wide-angle radiation, so-called non-global logarithms, and thus yields at the same time the three-loop evolution equation for non-global logarithms. As a by-product of our analysis, we develop a Lorentz-covariant method to subtract infrared and collinear divergences in cross-section calculations in the planar limit. We compare our result in the linear regime with a recent prediction for the so-called Pomeron trajectory, and compare its collinear limit with predictions from the spectrum of twist-two operators.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-02-09 | Journal of High Energy Physics |