6533b859fe1ef96bd12b81e6
RESEARCH PRODUCT
Analytic form of the full two-loop five-gluon all-plus helicity amplitude
Pascal WasserSimone ZoiaThomas GehrmannSimon BadgerTiziano PeraroGudrun HeinrichJohannes M. HennY.-h. ZhangY.-h. ZhangDmitry Chicherinsubject
PhysicsHigh Energy Physics - Theory530 PhysicsMathematical analysisGeneral Physics and AstronomyFOS: Physical sciences10192 Physics InstituteRational functionFunction (mathematics)01 natural sciencesHelicity3100 General Physics and AstronomyHigh Energy Physics - Phenomenology; High Energy Physics - Phenomenology; High Energy Physics - TheoryScattering amplitudeHigh Energy Physics - PhenomenologyAmplitudeHigh Energy Physics - Phenomenology (hep-ph)FactorizationHigh Energy Physics - Theory (hep-th)0103 physical sciencesGauge theories Perturbation theory Perturbative QCD Scattering amplitudes GluonsPerturbation theory (quantum mechanics)Limit (mathematics)010306 general physicsdescription
We compute the full-color two-loop five-gluon amplitude for the all-plus helicity configuration. In order to achieve this, we calculate the required master integrals for all permutations of the external legs, in the physical scattering region. We verify the expected divergence structure of the amplitude, and extract the finite hard function. We further validate our result by checking the factorization properties in the collinear limit. Our result is fully analytic and valid in the physical scattering region. We express it in a compact form containing logarithms, dilogarithms and rational functions.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-08-13 |