Bootstrapping the relativistic two-body problem

C Dlapa, G Kälin, Z Liu, RA Porto - Journal of High Energy Physics, 2023 - Springer
A bstract We describe the formalism to compute gravitational-wave observables for compact
binaries via the effective field theory framework in combination with modern tools from …

Determining Feynman integrals with only input from linear algebra

ZF Liu, YQ Ma - Physical Review Letters, 2022 - APS
We find that all Feynman integrals (FIs), having any number of loops, can be completely
determined once linear relations between FIs are provided. Therefore, FI computation is …

Massive vector form factors to three loops

M Fael, F Lange, K Schönwald, M Steinhauser - Physical Review Letters, 2022 - APS
We compute the three-loop nonsinglet corrections to the photon-quark form factors taking
into account the full dependence on the virtuality of the photon and the quark mass. We …

Singlet and nonsinglet three-loop massive form factors

M Fael, F Lange, K Schönwald, M Steinhauser - Physical Review D, 2022 - APS
We consider quantum chromodynamics with external vector, axial-vector, scalar, and
pseudoscalar currents and compute three-loop corrections to the corresponding vertex …

Effective field theory approach to the gravitational two-body dynamics at fourth post-Newtonian order and quintic in the Newton constant

S Foffa, P Mastrolia, R Sturani, C Sturm - Physical Review D, 2017 - APS
Working within the post-Newtonian (PN) approximation to general relativity, we use the
effective field theory (EFT) framework to study the conservative dynamics of the two-body …

Gravitational scattering at the seventh order in : Nonlocal contribution at the sixth post-Newtonian accuracy

D Bini, T Damour, A Geralico, S Laporta, P Mastrolia - Physical Review D, 2021 - APS
A recently introduced approach to the classical gravitational dynamics of binary systems
involves intricate integrals (linked to a combination of nonlocal-in-time interactions with …

Gravitational dynamics at : perturbative gravitational scattering meets experimental mathematics

D Bini, T Damour, A Geralico, S Laporta… - arXiv preprint arXiv …, 2020 - arxiv.org
A recently introduced approach to the gravitational dynamics of binary systems involves
intricate integrals, linked to nonlocal-in-time interactions arising at the 5-loop level of …

Computation of form factors in massless QCD with finite master integrals

A von Manteuffel, E Panzer, RM Schabinger - Physical Review D, 2016 - APS
We present the bare one-, two-, and three-loop form factors in massless quantum
chromodynamics as linear combinations of finite master integrals. Using symbolic …

Near and far zones in two-body dynamics: An effective field theory perspective

S Foffa, R Sturani - Physical Review D, 2021 - APS
We revisit several aspects of the interaction of self-gravitating, slowly varying sources with
their own emitted radiation within the context of post-Newtonian approximation to General …

The structure of generic anomalous dimensions and no-π theorem for massless propagators

PA Baikov, KG Chetyrkin - Journal of High Energy Physics, 2018 - Springer
A bstract Extending an argument of [1] for the case of 5-loop massless propagators we prove
a host of new exact model-independent relations between contributions proportional to odd …