The precision frontier in collider physics is being pushed at impressive speed, from both the
experimental and the theoretical side. The aim of this review is to give an overview of recent …

A bstract Several problems in computer algebra can be efficiently solved by reducing them
to calculations over finite fields. In this paper, we describe an algorithm for the reconstruction …

A bstract We compute the NNLO QCD corrections to three-photon production at the LHC.
This is the first NNLO QCD calculation for a 2→ 3 process. Our calculation is exact, except …

A bstract We present an analytic computation of the gluon-initiated contribution to diphoton
plus jet production at hadron colliders up to two loops in QCD. We reconstruct the analytic …

We propose a novel method to compute multi-loop master integrals by constructing and
numerically solving a system of ordinary differential equations, with almost trivial boundary …

Loop amplitudes are conveniently expressed in terms of master integrals whose coefficients
carry the process dependent information. Similarly before integration, the loop integrands …

A bstract We present analytic expressions in terms of polylogarithmic functions for all three
families of planar two-loop five-point Master Integrals with one off-shell leg. The calculation …

We present a compact analytic expression for the leading colour two-loop five-gluon
amplitude in Yang-Mills theory with a single negative helicity and four positive helicities. The …

A bstract Based on the Baikov representation, we present a systematic approach to compute
cuts of Feynman Integrals, appropriately defined in d dimensions. The information provided …

We compute the leading-color contributions to five-gluon scattering at two loops in massless
QCD. The integrands of all independent helicity amplitudes are evaluated using d …