Lectures on differential equations for Feynman integrals

JM Henn - Journal of Physics A: Mathematical and Theoretical, 2015 - iopscience.iop.org
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 …

Functions beyond multiple polylogarithms for precision collider physics

JL Bourjaily, J Broedel, E Chaubey, C Duhr… - ar** a stress-tensor form factor through eight loops
LJ Dixon, Ö Gürdoğan, AJ McLeod… - Journal of High Energy …, 2022 - Springer
A bstract We bootstrap the three-point form factor of the chiral stress-tensor multiplet in
planar\(\mathcal {N}\)= 4 supersymmetric Yang-Mills theory at six, seven, and eight loops …

Constraints on sequential discontinuities from the geometry of on-shell spaces

HS Hannesdottir, AJ McLeod, MD Schwartz… - Journal of High Energy …, 2023 - Springer
A bstract We present several classes of constraints on the discontinuities of Feynman
integrals that go beyond the Steinmann relations. These constraints follow from a geometric …

Mathematical aspects of scattering amplitudes

C Duhr - Journeys Through the Precision Frontier: Amplitudes …, 2016 - World Scientific
In these lectures we discuss some of the mathematical structures that appear when
computing multi-loop Feynman integrals. We focus on a specific class of special functions …

Combinatorics and topology of Kawai-Lewellen-Tye relations

S Mizera - Journal of High Energy Physics, 2017 - Springer
A bstract We revisit the relations between open and closed string scattering amplitudes
discovered by Kawai, Lewellen, and Tye (KLT). We show that they emerge from the un …