458 citations · 7.2k across the 157 of their papers we have counts for
6 papers · 1 filter
Hopf algebra structures in particle physics
Stefan Weinzierl
In the recent years, Hopf algebras have been introduced to describe certain combinatorial properties of quantum field theories. I will give a basic introduction to these algebras a…
Cancellation of infrared divergences at NNLO
Stefan Weinzierl
Perturbative calculations at next-to-next-to-leading order for multi-particle final states require a method to cancel infrared singularities. I discuss how to setup the subtraction…
The massless two-loop two-point function
Isabella Bierenbaum, Stefan Weinzierl
We consider the massless two-loop two-point function with arbitrary powers of the propagators and derive a representation, from which we can obtain the Laurent expansion to any des…
Subtraction terms for one-loop amplitudes with one unresolved parton
Stefan Weinzierl
Fully differential next-to-next-to-leading order calculations require a method to cancel infrared singularities. In a previous publication, I discussed the general setup for the su…
Algebraic Algorithms in Perturbative Calculations
Stefan Weinzierl
I discuss algorithms for the evaluation of Feynman integrals. These algorithms are based on Hopf algebras and evaluate the Feynman integral to (multiple) polylogarithms.
Subtraction terms at NNLO
Stefan Weinzierl
Perturbative calculations at next-to-next-to-leading order for multi-particle final states require a method to cancel infrared singularities. I discuss the subtraction method at NN…