157 citations · 1.5k across the 35 of their papers we have counts for
35 papers
Magic Relations and Critical Varieties of Feynman Integrals
Giulio Crisanti, Hjalte Frellesvig, Andrzej Pokraka +1
Magic relations are a class of integration-by-parts identities where all integrals in the generating sector drop out. Since their presence causes several otherwise successful metho…
The spectrum of Feynman-integral geometries at two loops
Piotr Bargiela, Hjalte Frellesvig, Robin Marzucca +4
We provide a complete classification of the Feynman-integral geometries at two-loop order in four-dimensional Quantum Field Theory with standard quadratic propagators. Concretely,…
Classification of Feynman integral geometries for black-hole scattering at 5PM order
Daniel Brammer, Hjalte Frellesvig, Roger Morales +1
We provide a complete classification of the Feynman integral geometries relevant to the scattering of two black holes at fifth order in the post-Minkowskian (PM) expansion, i.e. at…
Calabi-Yau Feynman integrals in gravity: -factorized form for apparent singularities
Hjalte Frellesvig, Roger Morales, Sebastian Pögel +2
We study a recently identified four-loop Feynman integral that contains a three-dimensional Calabi-Yau geometry and contributes to the scattering of black holes in classical gravit…
The Loop-by-Loop Baikov Representation -- Strategies and Implementation
Hjalte Frellesvig
In this paper, we discuss the Baikov representation of Feynman integrals in its standard and loop-by-loop variants. The Baikov representation is a parametric representation, which…
Classifying post-Minkowskian geometries for gravitational waves via loop-by-loop Baikov
Hjalte Frellesvig, Roger Morales, Matthias Wilhelm
We use the loop-by-loop Baikov representation to investigate the geometries in Feynman integrals contributing to the classical dynamics of a black-hole two-body system in the post-…
General Relativity from Intersection Theory
Hjalte Frellesvig, Toni Teschke
This paper combines the post-Minkowskian expansion of general relativity with the language of intersection theory. Because of the nature of the soft limit inherent to the post-Mink…
Intersection Numbers, Polynomial Division and Relative Cohomology
Giacomo Brunello, Vsevolod Chestnov, Giulio Crisanti +3
We present a simplification of the recursive algorithm for the evaluation of intersection numbers for differential -forms, by combining the advantages emerging from the choice o…
Calabi-Yau meets Gravity: A Calabi-Yau three-fold at fifth post-Minkowskian order
Hjalte Frellesvig, Roger Morales, Matthias Wilhelm
We study geometries occurring in Feynman integrals that contribute to the scattering of black holes in the post-Minkowskian expansion. These geometries become relevant to gravitati…
On -factorised bases and pure Feynman integrals
Hjalte Frellesvig, Stefan Weinzierl
We investigate -factorised differential equations, uniform transcendental weight and purity for Feynman integrals. We are in particular interested in Feynman integrals…
Intersection Numbers from Higher-order Partial Differential Equations
Vsevolod Chestnov, Hjalte Frellesvig, Federico Gasparotto +2
We propose a new method for the evaluation of intersection numbers for twisted meromorphic -forms, through Stokes' theorem in dimensions. It is based on the solution of an $…
Next-to-leading-order QCD Corrections to Higgs Production in association with a Jet
R. Bonciani, V. Del Duca, H. Frellesvig +6
We compute the next-to-leading-order (NLO) QCD corrections to the Higgs pT distribution in Higgs production in association with a jet via gluon fusion at the LHC, with exact depend…
Functions Beyond Multiple Polylogarithms for Precision Collider Physics
Jacob L. Bourjaily, Johannes Broedel, Ekta Chaubey +14
Feynman diagrams constitute one of the essential ingredients for making precision predictions for collider experiments. Yet, while the simplest Feynman diagrams can be evaluated in…
On Epsilon Factorized Differential Equations for Elliptic Feynman Integrals
Hjalte Frellesvig
In this paper we develop and demonstrate a method to obtain epsilon factorized differential equations for elliptic Feynman integrals. This method works by choosing an integral basi…
Cuts and Isogenies
Hjalte Frellesvig, Cristian Vergu, Matthias Volk +1
We consider the genus-one curves which arise in the cuts of the sunrise and in the elliptic double-box Feynman integrals. We compute and compare invariants of these curves in a num…
On the Application of Intersection Theory to Feynman Integrals: The Univariate Case
Hjalte Frellesvig, Luca Mattiazzi
This document is a contribution to the proceedings of the MathemAmplitudes 2019 conference held in December 2019 in Padova, Italy. A key step in modern high energy physics scatteri…
Decomposition of Feynman Integrals by Multivariate Intersection Numbers
Hjalte Frellesvig, Federico Gasparotto, Stefano Laporta +4
We present a detailed description of the recent idea for a direct decomposition of Feynman integrals onto a basis of master integrals by projections, as well as a direct derivation…
Two-Loop QCD-EW Master Integrals for Z Plus Jet Production at Large Transverse Momentum
Hjalte Frellesvig, Kirill Kudashkin, Christopher Wever
The production of electroweak bosons that decay to neutrinos and recoil against jets with large transverse momentum is an important background process to searches for…
The complete set of two-loop master integrals for Higgs + jet production in QCD
Hjalte Frellesvig, Martijn Hidding, Leila Maestri +2
In this paper we complete the computation of the two-loop master integrals relevant for Higgs plus one jet production initiated in arXiv:1609.06685, arXiv:1907.13156, arXiv:1907.13…
Vector Space of Feynman Integrals and Multivariate Intersection Numbers
Hjalte Frellesvig, Federico Gasparotto, Manoj K. Mandal +3
Feynman integrals obey linear relations governed by intersection numbers, which act as scalar products between vector spaces. We present a general algorithm for constructing multiv…
Evaluating two-loop non-planar master integrals for Higgs + jet production with full heavy-quark mass dependence
R. Bonciani, V. Del Duca, H. Frellesvig +6
We present the analytic computation of a family of non-planar master integrals which contribute to the two-loop scattering amplitudes for Higgs plus one jet production, with full h…
Decomposition of Feynman Integrals on the Maximal Cut by Intersection Numbers
Hjalte Frellesvig, Federico Gasparotto, Stefano Laporta +4
We elaborate on the recent idea of a direct decomposition of Feynman integrals onto a basis of master integrals on maximal cuts using intersection numbers. We begin by showing an a…
The double-soft integral for an arbitrary angle between hard radiators
Fabrizio Caola, Maximilian Delto, Hjalte Frellesvig +1
We consider the double-soft limit of a generic QCD process involving massless partons and integrate analytically the double-soft eikonal functions over the phase-space of soft part…
Generalized Polylogarithms in Maple
Hjalte Frellesvig
This paper describes generalized polylogarithms, multiple polylogarithms, and multiple zeta values, along with their implementation in Maple 2018. This set of related functions is…