scispace - formally typeset
Journal ArticleDOI

Notes on Motivic Periods

Francis Brown
- 01 Jan 2017 - 
- Vol. 11, Iss: 3, pp 557-655
TLDR
The second part of a set of notes based on lectures given at the IHES in 2015 on Feynman amplitudes and motivic periods is presented in this paper, where the second part is a summary of the lectures.
Abstract: 
The second part of a set of notes based on lectures given at the IHES in 2015 on Feynman amplitudes and motivic periods.

read more

Citations
More filters
Journal ArticleDOI

PolyLogTools — polylogs for the masses

Claude Duhr, +2 more
- 15 Apr 2019 - 
TL;DR: In this article, the Hopf algebra of the multiple polylogarithms and the symbol map are discussed, as well as the construction of single valued multiple poly logarithm and an algorithm for finding fibration bases.
Journal ArticleDOI

Numbers and functions in quantum field theory

Oliver Schnetz
- 23 Apr 2018 - 
TL;DR: In this article, the authors provide scheme-independent counterterms for primitive log-divergent graphs in the theory of numbers and single-valued functions on the complex plane which arise in quantum field theory.
Journal ArticleDOI

Bootstrapping the QCD soft anomalous dimension

Øyvind Almelid, +6 more
- 30 Jun 2017 - 
TL;DR: In this paper, the soft anomalous dimension of scattering amplitudes is computed at three-loop order for massless partons by explicit evaluation of all relevant Feynman diagrams, up to an overall numerical factor using a bootstrap procedure.
Journal ArticleDOI

Cluster adjacency and the four-loop NMHV heptagon

James M. Drummond, +3 more
- 24 Jun 2019 - 
TL;DR: In this paper, the authors exploit the properties of cluster adjacency for scattering amplitudes in planar N = 4 ansatz and construct the symbol of the four-loop NMHV heptagon amplitude.
Posted Content

Multiple Modular Values and the relative completion of the fundamental group of $M_{1,1}$

Francis Brown
- 19 Jul 2014 - 
TL;DR: In this paper, the authors established properties of the underlying theory of the full modular group: in particular, the relationship with special values of L-functions of modular forms at all positive integers and the action of the conjectural motivic Galois group via a certain group of automorphisms.