### Conveners

#### Tuesday Morning A

- Carsten Schneider (RISC, Johannes Kepler University Linz)

#### Tuesday Morning A

- Carsten Schneider (RISC, Johannes Kepler University Linz)

In this talk I will discuss new algorithmic approaches to reduce Feynman integrals. Syzygies derived in the Lee-Pomeransky and the Baikov representation allow to find linear relations, which avoid the introduction of either irreducible numerators or higher powers of propagators, respectively. The relevant syzygies can be calculated with linear algebra methods based on finite fields. These...

We present the analytic form of all two-loop five-parton helicity amplitudes required for the calculation of NNLO QCD corrections to the production of three jets at hadron colliders in the leading-color approximation. The results are analytically reconstructed from exact numerical evaluations over finite fields. We employ a number of physics-motivated ideas to facilitate the reconstruction, as...

In this talk, we present a detailed study on the infrared structure of N=4 SYM and its connection to QCD. Calculation of collinear splitting functions helps to understand the structure and thus one can get infrared safe cross sections. We also demonstrate the factorization property that soft plus virtual part of the cross section satisfies and through factorization, we calculate soft...

Precise predictions for total and differential cross sections

at hadron colliders became an important corner stone of the LHC physics.

The lack of new 'smoking-gun' physics signals

requires precise comparisons between measurements and Standard Model

predictions to get a

handle on new physics effects. Tremendous efforts have been made to push

perturbative calculations to higher orders...