Abstract
We present the analytic form of the planar two-loop five-gluon scattering amplitudes in QCD for a complete set of independent helicity configurations of external gluons. These include the first analytic results for five-point two-loop amplitudes relevant for the computation of next-to-next-to-leading-order QCD corrections at hadron colliders. The results were obtained by reconstructing analytic expressions from numerical evaluations. The complexity of the computation is reduced by exploiting physical and analytical properties of the amplitudes, employing a minimal basis of so-called pentagon functions that have recently been classified.
Highlights
Scattering amplitudes in QCD are beautiful mathematical objects that condense the physics of particle collisions
Combined with the better understanding of the analytic properties of the functions appearing in loop amplitudes that was developed over the last few years, the reconstruction of analytic expressions from numerical samples circumvents the prohibitively large intermediate analytic steps and directly targets the simpler final results
We present for the first time analytic results for the twoloop five-gluon amplitudes known as MHV amplitudes, which are an important ingredient in the next-to-next-toleading-order (NNLO) QCD corrections for three-jet production at hadron colliders
Summary
Scattering amplitudes in QCD are beautiful mathematical objects that condense the physics of particle collisions. From these samples we obtain analytic expressions for the coefficients in a decomposition of the amplitude in terms of so-called pentagon functions [13]. It is possible to construct a basis for the space of special functions required for planar five-point massless amplitudes up to two-loops, and this was done in Ref.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
