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20122026
most citedVector Space of Feynman Integrals and Multivariate Intersection Numbers

157 citations · 1.5k across the 35 of their papers we have counts for

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hep-ph2022★ 28 cited

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…

hep-ph2022★ 35 cited

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…

hep-ph2021

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…

hep-ph2020★ 3 cited

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…

hep-ph2019★ 35 cited

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…

hep-ph2019★ 42 cited

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…

hep-ph2019★ 110 cited

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…

hep-ph2018★ 42 cited

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…

hep-ph2017★ 2 cited

The HiggsTools Handbook: Concepts and observables for deciphering the Nature of the Higgs Sector

M. Boggia, J. M. Cruz-Martinez, Hjalte Frellesvig +15

This Report summarizes some of the activities of the HiggsTools Initial Training Network working group in the period 2015-2017. The main goal of this working group was to produce a…

hep-ph2017★ 134 cited

Cuts of Feynman Integrals in Baikov representation

Hjalte Frellesvig, Costas G. Papadopoulos

Based on the Baikov representation, we present a systematic approach to compute cuts of Feynman Integrals, appropriately defined in dimensions. The information provided by thes…

hep-ph2016★ 154 cited

Two-loop planar master integrals for Higgs partons with full heavy-quark mass dependence

Roberto Bonciani, Vittorio Del Duca, Hjalte Frellesvig +3

We present the analytic computation of all the planar master integrals which contribute to the two-loop scattering amplitudes for Higgs partons, with full heavy-quark mass d…

hep-ph2016

On the Reduction and Evaluation of Generalized Polylogarithms

Hjalte Frellesvig, Damiano Tommasini, Christopher Wever

This is a contribution to the proceedings of the 2016 "Loops and legs" conference, based on the talk by HF. The talk was based on the paper "On the reduction of Generalized Polylog…

hep-ph2016★ 61 cited

On the reduction of generalized polylogarithms to and and on the evaluation thereof

Hjalte Frellesvig, Damiano Tommasini, Christopher Wever

We give expressions for all generalized polylogarithms up to weight four in terms of the functions log, , and , valid for arbitrary complex variables.…

hep-ph2015★ 58 cited

Next-to-Leading Order QCD Corrections to the Decay Width

R. Bonciani, V. Del Duca, H. Frellesvig +3

We present the analytic calculation of the two-loop QCD corrections to the decay width of a Higgs boson into a photon and a boson. The calculation is carried out using integrat…

hep-ph2014★ 1 cited

Multi-loop integrand reduction techniques

Simon Badger, Hjalte Frellesvig, Yang Zhang

We review recent progress in D-dimensional integrand reduction algorithms for two loop amplitudes and give examples of their application to non-planar maximal cuts of the five-poin…

hep-ph2013★ 10 cited

Multi-loop Integrand Reduction with Computational Algebraic Geometry

Simon Badger, Hjalte Frellesvig, Yang Zhang

We discuss recent progress in multi-loop integrand reduction methods. Motivated by the possibility of an automated construction of multi-loop amplitudes via generalized unitarity c…

hep-ph2013★ 152 cited

A Two-Loop Five-Gluon Helicity Amplitude in QCD

Simon Badger, Hjalte Frellesvig, Yang Zhang

We compute the planar part of the two-loop five gluon amplitude with all helicities positive. To perform the calculation we develop a D-dimensional generalized unitarity procedure…

hep-ph2012★ 40 cited

An Integrand Reconstruction Method for Three-Loop Amplitudes

Simon Badger, Hjalte Frellesvig, Yang Zhang

We consider the maximal cut of a three-loop four point function with massless kinematics. By applying Groebner bases and primary decomposition we develop a method which extracts al…

hep-ph2012★ 133 cited

Hepta-Cuts of Two-Loop Scattering Amplitudes

Simon Badger, Hjalte Frellesvig, Yang Zhang

We present a method for the computation of hepta-cuts of two loop scattering amplitudes. Four dimensional unitarity cuts are used to factorise the integrand onto the product of six…