Bootstrapping the relativistic two-body problem
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 …
binaries via the effective field theory framework in combination with modern tools from …
On a procedure to derive ϵ-factorised differential equations beyond polylogarithms
L Görges, C Nega, L Tancredi, FJ Wagner - Journal of High Energy …, 2023 - Springer
A bstract In this manuscript, we elaborate on a procedure to derive ϵ-factorised differential
equations for multi-scale, multi-loop classes of Feynman integrals that evaluate to special …
equations for multi-scale, multi-loop classes of Feynman integrals that evaluate to special …
Calabi-Yau periods for black hole scattering in classical general relativity
A Klemm, C Nega, B Sauer, J Plefka - Physical Review D, 2024 - APS
The high-precision description of black hole scattering in classical general relativity using
the post-Minkowskian (PM) expansion requires the evaluation of single-scale Feynman …
the post-Minkowskian (PM) expansion requires the evaluation of single-scale Feynman …
Genus drop in hyperelliptic Feynman integrals
The maximal cut of the nonplanar crossed box diagram with all massive internal propagators
was long ago shown to encode a hyperelliptic curve of genus 3 in momentum space …
was long ago shown to encode a hyperelliptic curve of genus 3 in momentum space …
Calabi-Yau Meets Gravity: A Calabi-Yau Threefold at Fifth Post-Minkowskian Order
We study geometries occurring in Feynman integrals that contribute to the scattering of black
holes in the post-Minkowskian (PM) expansion. These geometries become relevant to …
holes in the post-Minkowskian (PM) expansion. These geometries become relevant to …
Algorithm for differential equations for Feynman integrals in general dimensions
L de la Cruz, P Vanhove - Letters in Mathematical Physics, 2024 - Springer
We present an algorithm for determining the minimal order differential equations associated
with a given Feynman integral in dimensional or analytic regularisation. The algorithm is an …
with a given Feynman integral in dimensional or analytic regularisation. The algorithm is an …
Two-loop QED corrections to the scattering of four massive leptons
M Delto, C Duhr, L Tancredi, YJ Zhu - Physical Review Letters, 2024 - APS
We study two-loop corrections to the scattering amplitude of four massive leptons in
quantum electrodynamics. These amplitudes involve previously unknown elliptic Feynman …
quantum electrodynamics. These amplitudes involve previously unknown elliptic Feynman …
On the electron self-energy to three loops in QED
C Duhr, F Gasparotto, C Nega, L Tancredi… - Journal of High Energy …, 2024 - Springer
A bstract We compute the electron self-energy in Quantum Electrodynamics to three loops in
terms of iterated integrals over kernels of elliptic type. We make use of the differential …
terms of iterated integrals over kernels of elliptic type. We make use of the differential …
The inverse Mellin transform via analytic continuation
A Behring, J Blümlein, K Schönwald - Journal of High Energy Physics, 2023 - Springer
A bstract We present a method to calculate the x-space expressions of massless or massive
operator matrix elements in QCD and QED containing local composite operator insertions …
operator matrix elements in QCD and QED containing local composite operator insertions …
Self-dualities and Galois symmetries in Feynman integrals
S Pögel, X Wang, S Weinzierl, K Wu, X Xu - Journal of High Energy …, 2024 - Springer
A bstract It is well-known that all Feynman integrals within a given family can be expressed
as a finite linear combination of master integrals. The master integrals naturally group into …
as a finite linear combination of master integrals. The master integrals naturally group into …