Hexagon functions and the three-loop remainder function

The three - loop SSM β - functions

We present the supersymmetric standard model three-loop β-functions for gauge and Yukawa couplings and consider the effect of three-loop corrections on the standard running

The Three-loop Splitting Functions in Qcd

We have computed the next-to-next-to-leading-order (NNLO) contributions to the evolution of unpolarized parton distributions in perturbative QCD [1,2]. In this talk, we briefly recall why this huge computation was necessary and outline how it was performed. We then illustrate the structure of the results and discuss their end-point limits which include the three-loop cusp anomalous dimensions o...

Two Loop QCD Vertices and Three Loop MOM beta functions

Two Loop QCD Vertices and Three Loop MOM β functions

We present numerical results for the two loop QCD corrections to the ghost gluon vertex, the quark gluon vertex, and the triple gluon vertex in the massless limit at the symmetric point. We restrict ourselves to the tensor structures existing in the tree level. The corrections are used to examine different coupling constant definitions in momentum subtraction schemes and the corresponding three...

Hexagon Wilson loop = six - gluon MHV amplitude

We compare the two-loop corrections to the finite part of the light-like hexagon Wilson loop with the recent numerical results for the finite part of the MHV six-gluon amplitude in N = 4 SYM theory [hep-th]) and demonstrate that they coincide within the error bars and, at the same time, they differ from the BDS ansatz by a non-trivial function of (dual) conformal kinematical invariants. This pr...