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 …

We give a comprehensive review of recent developments on using the pure spinor
formalism to compute massless superstring scattering amplitudes at tree level. The main …

We complete the calculation of conservative two-body scattering dynamics at fourth post-
Minkowskian order, ie, O (G 4) and all orders in velocity, including radiative contributions …

Feynman integrals are indispensable for precision calculations in quantum field theory. They
occur as soon as one goes beyond the leading order in perturbative quantum field theory …

A bstract We present the complete formula for the cusp anomalous dimension at four loops
in QCD and in maximally supersymmetric Yang-Mills. In the latter theory it is given …

Providing a comprehensive, pedagogical introduction to scattering amplitudes in gauge
theory and gravity, this book is ideal for graduate students and researchers. It offers a …

Scattering amplitudes at loop level can be expressed in terms of Feynman integrals. The
latter satisfy partial differential equations in the kinematical variables. We argue that a good …

A bstract Perturbative scattering amplitudes in gauge theories have remarkable simplicity
and hidden infinite dimensional symmetries that are completely obscured in the …

Over the last year significant progress was made in the understanding of the computation of
Feynman integrals using differential equations (DE). These lectures give a review of these …

Outlining a revolutionary reformulation of the foundations of perturbative quantum field
theory, this book is a self-contained and authoritative analysis of the application of this new …