678 citations · 2.6k across the 33 of their papers we have counts for
36 papers
Single-soft emissions for amplitudes with two colored particles at three loops
Franz Herzog, Yao Ma, Bernhard Mistlberger +1
We compute the three-loop correction to the universal single-soft emission current for the case of scattering amplitudes with two additional color-charged partons. We present resul…
Four-loop splitting functions in QCD -- The gluon-to-quark case
G. Falcioni, F. Herzog, S. Moch +1
We have computed the even- moments of the gluon-to-quark splitting function at the fourth order of perturbative QCD via the renormalization of off-shell…
Non-linear non-renormalization theorems
Weiguang Cao, Franz Herzog, Tom Melia +1
We study the mixing of operators under renormalization group flow in quantum theories, and prove a non-renormalization theorem at non-linear order. It dictates zeros up to a certai…
Four-loop splitting functions in QCD -- The quark-quark case
G. Falcioni, F. Herzog, S. Moch +1
We have computed the even- moments of the pure-singlet quark splitting function at the fourth order of perturbative QCD via the anomalous dimensions of…
The on-shell expansion: from Landau equations to the Newton polytope
Einan Gardi, Franz Herzog, Stephen Jones +2
We study the application of the method of regions to Feynman integrals with massless propagators contributing to off-shell Green's functions in Minkowski spacetime (with non-except…
Renormalization of gluonic leading-twist Operators in covariant Gauges
Giulio Falcioni, Franz Herzog
We provide the all-loop structure of gauge-variant operators required for the renormalisation of Green's functions with insertions of twist-two operators in Yang-Mills theory. Usin…
Renormalization and non-renormalization of scalar EFTs at higher orders
Weiguang Cao, Franz Herzog, Tom Melia +1
We renormalize massless scalar effective field theories (EFTs) to higher loop orders and higher orders in the EFT expansion. To facilitate EFT calculations with the R* renormalizat…
One-loop Jet Functions by Geometric Subtraction
Avanish Basdew-Sharma, Franz Herzog, Solange Schrijnder van Velzen +1
In factorization formulae for cross sections of scattering processes, final-state jets are described by jet functions, which are a crucial ingredient in the resummation of large lo…
The Hopf algebra structure of the -operation
Robert Beekveldt, Michael Borinsky, Franz Herzog
We give a Hopf-algebraic formulation of the -operation, which is a canonical way to render UV and IR divergent Euclidean Feynman diagrams finite. Our analysis uncovers a close…
Two- and three-loop anomalous dimensions of Weinberg's dimension-six CP-odd gluonic operator
Jordy de Vries, Giulio Falcioni, Franz Herzog +1
We apply a fully automated extension of the -operation capable of calculating higher-loop anomalous dimensions of n-point Green's functions of arbitrary, possibly non-renormal…
Five-loop contributions to low-N non-singlet anomalous dimensions in QCD
F. Herzog, S. Moch, B. Ruijl +3
We present the first calculations of next-to-next-to-next-to-next-to-leading order (N^4LO) contributions to anomalous dimensions of spin-N twist-2 operators in perturbative QCD. Sp…
Anomalous dimensions and splitting functions beyond the next-to-next-to-leading order
A. Vogt, F. Herzog, S. Moch +3
We report on recent progress on the splitting functions for the evolution of parton distributions and related quantities, the (lightlike) cusp anomalous dimensions, in perturbative…
Geometric IR subtraction for real radiation
Franz Herzog
A scheme is proposed for the subtraction of soft and collinear divergences present in massless real emission phase space integrals. The scheme is based on a local slicing procedure…
R*-operation and five-loop calculations
B. Ruijl, F. Herzog, T. Ueda +2
We sketch how the R*-operation can be used to compute the pole terms of Feynman diagrams. We identify computational difficulties when performing five-loop calculations, and provide…
Zimmermann's Forest Formula, Infrared Divergences and the QCD Beta Function
Franz Herzog
We review Zimmermann's forest formula, which solves Bogoliubov's recursive -operation for the subtraction of ultraviolet divergences in perturbative Quantum Field Theory. We fur…
Five-loop renormalisation of QCD in covariant gauges
K. G. Chetyrkin, G. Falcioni, F. Herzog +1
We present the complete set of vertex, wave function and charge renormalisation constants in QCD in a general simple gauge group and with the complete dependence on the covariant g…
On Higgs decays to hadrons and the R-ratio at N^4LO
F. Herzog, B. Ruijl, T. Ueda +2
We present the first determination of Higgs-boson decay to hadrons at the next-to-next-to-next-to-next-to-leading order of perturbative QCD in the limit of a heavy top quark and ma…
The R*-operation for Feynman graphs with generic numerators
Franz Herzog, Ben Ruijl
The R*-operation by Chetyrkin, Tkachov, and Smirnov is a generalisation of the BPHZ R-operation, which subtracts both ultraviolet and infrared divergences of euclidean Feynman grap…
The five-loop beta function of Yang-Mills theory with fermions
F. Herzog, B. Ruijl, T. Ueda +2
We have computed the five-loop corrections to the scale dependence of the renormalized coupling constant for Quantum Chromodynamics (QCD), its generalization to non-Abelian gauge t…
FORM, Diagrams and Topologies
Franz Herzog, Ben Ruijl, Takahiro Ueda +2
We discuss a number of FORM features that are essential in the automatic processing of very large numbers of diagrams as used in the Forcer program for 4-loop massless propagator d…
CP-even scalar boson production via gluon fusion at the LHC
Charalampos Anastasiou, Claude Duhr, Falko Dulat +5
In view of the searches at the LHC for scalar particle resonances in addition to the 125 GeV Higgs boson, we present the cross section for a CP-even scalar produced via gluon fusio…
High precision determination of the gluon fusion Higgs boson cross-section at the LHC
Charalampos Anastasiou, Claude Duhr, Falko Dulat +5
We present the most precise value for the Higgs boson cross-section in the gluon-fusion production mode at the LHC. Our result is based on a perturbative expansion through NLO…
Soft Expansion of Double-Real-Virtual Corrections to Higgs Production at NLO
Charalampos Anastasiou, Claude Duhr, Falko Dulat +3
We present methods to compute higher orders in the threshold expansion for the one-loop production of a Higgs boson in association with two partons at hadron colliders. This proces…
Higgs boson gluon-fusion production in N3LO QCD
Charalampos Anastasiou, Claude Duhr, Falko Dulat +2
We present the cross-section for the production of a Higgs boson at hadron-colliders at next-to- next-to-next-to-leading order (N3LO) in perturbative QCD. The calculation is based…