114 citations · 664 across the 32 of their papers we have counts for
34 papers
Additional results on the four-loop flavour-singlet splitting functions in QCD
G. Falcioni, F. Herzog, S. Moch +2
We have extended our previous computations, performed analytically for a general gauge group, of the even- moments of the four-loop flavour-singlet split…
Alien operators for PDF evolution
S. Van Thurenhout, G. Falcioni, F. Herzog +1
Understanding the scale dependence of parton distribution functions is vital for precision physics at hadron colliders. The well-known DGLAP evolution equation relates this scale d…
The two-loop Higgs impact factor
Vittorio Del Duca, Giulio Falcioni
In the HEFT, we consider the Regge limit of the two-loop amplitudes for Higgs boson production in association with a jet, expanded to NNLL accuracy. We discuss the issue of the Reg…
The Two-Loop Lipatov Vertex in QCD
Samuel Abreu, Giuseppe De Laurentis, Giulio Falcioni +3
High-energy factorization of 2 -> 2 amplitudes in QCD has been recently pushed to the next-to-next-to-leading logarithmic order by determining the three-loop gluon Regge trajectory…
Regge poles and cuts and the Lipatov vertex
Samuel Abreu, Giulio Falcioni, Einan Gardi +2
Scattering amplitudes in the high-energy limit can be described in terms of their singularity structure in the complex angular momentum plane, consisting of Regge poles and cuts. I…
Four-loop splitting functions in QCD -- The gluon-gluon case --
G. Falcioni, F. Herzog, S. Moch +2
We have computed the even-N moments N =< 20 of the gluon-gluon splitting function P_{gg} at the fourth order of perturbative QCD via the renormalization of off-shell operator matri…
Constraints for twist-two alien operators in QCD
G. Falcioni, F. Herzog, S. Moch +1
Parton evolution equations in QCD are controlled by the anomalous dimensions of gauge-invariant twist-two spin- quark and gluon operators. Under renormalization, these mix with…
Four-loop splitting functions in QCD -- The quark-to-gluon case
G. Falcioni, F. Herzog, S. Moch +2
We present the even-N moments N =< 20 of the fourth-order (N^3LO) contribution P_{gq}^(3)(x) to the quark-to-gluon splitting function in perturbative QCD. These moments, obtained b…
The double fermionic contribution to the four-loop quark-to-gluon splitting function
G. Falcioni, F. Herzog, S. Moch +2
We have computed the first 30 even-N moments for the double fermionic (nf^2) part of the quark-to-gluon splitting function P_{gq} at the fourth order of perturbative QCD via the re…
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…
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…
Renormalisation of singlet operators to four loops
Giulio Falcioni
In QCD the anomalous dimensions of gauge invariant operators of twist 2 play a key role, because they control the scale dependence of the parton distribution functions. Notably, th…
High-energy limit of scattering amplitudes at NNLL
Calum Milloy, Giulio Falcioni, Einan Gardi +2
The high-energy limit of scattering amplitudes offers an excellent setting to explore the universal features of gauge theories. At Leading Logarithmic (LL) accuracy the pa…
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…
Disentangling the Regge cut and Regge pole in perturbative QCD
Giulio Falcioni, Einan Gardi, Niamh Maher +2
The high-energy limit of gauge-theory amplitudes features both a Regge pole and Regge cuts. We show how to disentangle these, and hence how to determine the Regge trajectory beyond…
Two-parton scattering in the high-energy limit: climbing two- and three-Reggeon ladders
Leonardo Vernazza, Giulio Falcioni, Einan Gardi +2
We review recent progress on the calculation of scattering amplitudes in the high-energy limit. We start by illustrating the shockwave formalism, which allows one to calculate ampl…
Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops
Giulio Falcioni, Einan Gardi, Niamh Maher +2
Using rapidity evolution equations we study two-to-two gauge-theory scattering amplitudes in the Regge limit. We carry out explicit computations at next-to-next-to-leading logarith…
The Soft Anomalous Dimension at four loops in the Regge Limit
Niamh Maher, Giulio Falcioni, Einan Gardi +2
The soft anomalous dimension governs the infrared divergences of scattering amplitudes in general kinematics to all orders in perturbation theory. By comparing the recent Regge-lim…
Climbing three-Reggeon ladders: four-loop amplitudes in the high-energy limit in full colour
Giulio Falcioni, Einan Gardi, Calum Milloy +1
Using an iterative solution of rapidity evolution equations, we compute partonic gauge theory amplitudes at four loops in full colour up to the Next-to-Next-to-Leading Log…
Wilson-line geometries and the relation between IR singularities of form factors and the large-x limit of DGLAP splitting functions
Calum Milloy, Giulio Falcioni, Einan Gardi
We discuss the relation between the infrared singularities of on-shell partonic form factors and parton distribution functions (PDFs) near the elastic limit, through their factoris…
Relating amplitude and PDF factorisation through Wilson-line geometries
Giulio Falcioni, Einan Gardi, Calum Milloy
We study long-distance singularities governing different physical quantities involving massless partons in perturbative QCD by using factorisation in terms of Wilson-line correlato…
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…
The method of global R* and its applications
K. G. Chetyrkin, G. Falcioni, F. Herzog +1
The global R* operation is a powerful method for computing renormalisation group functions. This technique, based on the principle of infrared rearrangement, allows to express all…
The Heavy Quark Form Factors at Two Loops
J. Ablinger, A. Behring, J. Blümlein +5
We compute the two-loop QCD corrections to the heavy quark form factors in case of the vector, axial-vector, scalar and pseudo-scalar currents up to second order in the dimensional…