Nonperturbative properties of Yang–Mills theories

MQ Huber - Physics Reports, 2020 - Elsevier
Yang–Mills theories are an important building block of the standard model and in particular
of quantum chromodynamics. Its correlation functions describe the behavior of its …

pySecDec: a toolbox for the numerical evaluation of multi-scale integrals

S Borowka, G Heinrich, S Jahn, SP Jones… - Computer Physics …, 2018 - Elsevier
We present py SecDec, a new version of the program SecDec, which performs the
factorization of dimensionally regulated poles in parametric integrals, and the subsequent …

Pentagon functions for scattering of five massless particles

D Chicherin, V Sotnikov - Journal of High Energy Physics, 2020 - Springer
A bstract We complete the analytic calculation of the full set of two-loop Feynman integrals
required for computation of massless five-particle scattering amplitudes. We employ the …

Leading-color two-loop QCD corrections for three-photon production at hadron colliders

S Abreu, B Page, E Pascual, V Sotnikov - Journal of High Energy Physics, 2021 - Springer
A bstract We compute the two-loop helicity amplitudes for the production of three photons at
hadron colliders in QCD at leading-color. Using the two-loop numerical unitarity method …

Landau gauge Yang-Mills correlation functions

AK Cyrol, L Fister, M Mitter, JM Pawlowski, N Strodthoff - Physical Review D, 2016 - APS
We investigate Landau gauge SU (3) Yang-Mills theory in a systematic vertex expansion
scheme for the effective action with the functional renormalization group. Particular focus is …

FORM version 4.2

B Ruijl, T Ueda, J Vermaseren - arXiv preprint arXiv:1707.06453, 2017 - arxiv.org
arXiv:1707.06453v1 [hep-ph] 20 Jul 2017 Form version 4.2 Page 1 arXiv:1707.06453v1 [hep-ph]
20 Jul 2017 Form version 4.2 B. Ruijla,b, T. Uedaa and JAM Vermaserena aNikhef Theory …

Pentagon functions for one-mass planar scattering amplitudes

D Chicherin, V Sotnikov, S Zoia - Journal of High Energy Physics, 2022 - Springer
A bstract We present analytic results for all planar two-loop Feynman integrals contributing
to five-particle scattering amplitudes with one external massive leg. We express the integrals …

[HTML][HTML] A GPU compatible quasi-Monte Carlo integrator interfaced to pySecDec

S Borowka, G Heinrich, S Jahn, SP Jones… - Computer Physics …, 2019 - Elsevier
The purely numerical evaluation of multi-loop integrals and amplitudes can be a viable
alternative to analytic approaches, in particular in the presence of several mass scales …

Expansion by regions with pySecDec

G Heinrich, S Jahn, SP Jones, M Kerner… - Computer Physics …, 2022 - Elsevier
We discuss the technique of expansion by regions from a geometric perspective, and its
implementation within py SecDec, a toolbox for the evaluation of dimensionally regulated …

Nonperturbative quark, gluon, and meson correlators of unquenched QCD

AK Cyrol, M Mitter, JM Pawlowski, N Strodthoff - Physical Review D, 2018 - APS
We present nonperturbative first-principle results for quark, gluon, and meson 1PI correlation
functions of two-flavor Landau-gauge QCD in the vacuum. These correlation functions carry …