37 citations · 170 across the 14 of their papers we have counts for
15 papers
Primary Decompositions in Lorentz-Covariant Rings
Giuseppe De Laurentis, David Tai
An effective strategy for constructing compact representations of integral coefficients in scattering amplitudes is to make their singularity structure manifest. This is naturally…
Linac: linear algebra with CUDA over finite fields
Giuseppe De Laurentis, Jack Franklin
Solving linear systems of polynomial equations is a ubiquitous problem in both mathematics and physics. The standard approach, Gaussian elimination, scales cubically with system si…
Two-loop leading-color QCD corrections for Higgs plus two-jet production in the heavy-top limit
Giuseppe De Laurentis, Harald Ita, Viktor Kuschke +2
We present the leading-color two-loop QCD corrections for Higgs-boson production in association with two jets through gluon fusion in the heavy-top effective theory. We provide ana…
Analytic amplitudes for a pair of Higgs bosons in association with three partons
John M. Campbell, Giuseppe De Laurentis, R. Keith Ellis
The pair production of Higgs bosons at the LHC can give information about the triple Higgs boson coupling. We perform an analytic one-loop calculation of the amplitudes for a pair…
Non-Planar Two-Loop Amplitudes for Five-Parton Scattering
Giuseppe De Laurentis
We review the current status of high-multiplicity double-virtual QCD corrections to processes relevant for LHC phenomenology. In particular, we discuss the recent full-color calcul…
Double-Virtual NNLO QCD Corrections for Five-Parton Scattering: The Quark Channels
Giuseppe De Laurentis, Harald Ita, Vasily Sotnikov
We complete the computation of two-loop helicity amplitudes required to obtain next-to-next-to-leading order QCD corrections for three-jet production at hadron colliders, including…
Double-Virtual NNLO QCD Corrections for Five-Parton Scattering: The Gluon Channel
Giuseppe De Laurentis, Harald Ita, Maximillian Klinkert +1
We compute the two-loop helicity amplitudes for the scattering of five gluons, including all contributions beyond the leading-color approximation. The analytic expressions are repr…
Lips: p-adic and singular phase space
Giuseppe De Laurentis
I present new features of the open-source Python package lips, which leverages the newly developed pyadic and syngular libraries. These developments enable the generation and manip…
Two-Loop QCD Corrections for Three-Photon Production at Hadron Colliders
Samuel Abreu, Giuseppe De Laurentis, Harald Ita +3
We complete the computation of the two-loop helicity amplitudes for the production of three photons at hadron colliders, including all contributions beyond the leading-color approx…
Constructing Compact Ansätze for Scattering Amplitudes
Giuseppe De Laurentis, Ben Page
In these proceedings, we discuss the recent approach of Ref. [1] for the construction of compact Ansätze for scattering amplitudes. The method builds powerful constraints on the an…
Vector boson pair production at one loop: analytic results for the process
John M. Campbell, Giuseppe De Laurentis, R. Keith Ellis
We present compact analytic results for the one-loop amplitude for the process , relevant for both the produc…
Ansätze for Scattering Amplitudes from -adic Numbers and Algebraic Geometry
Giuseppe De Laurentis, Ben Page
Rational coefficients of special functions in scattering amplitudes are known to simplify on singular surfaces, often diverging less strongly than the naïve expectation. To systema…
Two-Loop Five-Parton Leading-Colour Finite Remainders in the Spinor-Helicity Formalism
Giuseppe De Laurentis, Daniel Maître
We present all two-loop five-parton leading-colour finite remainders in the spinor-helicity formalism by analysing numerical evaluations of their known expressions in terms of Mand…
The one-loop amplitudes for Higgs + 4 partons with full mass effects
Lucy Budge, John M. Campbell, Giuseppe De Laurentis +2
We present compact analytic formulae for the one-loop amplitudes for Higgs + 4 parton scattering, , and $0\to \bar{q} q \bar{q}^\prime q^\pr…
Extracting analytical one-loop amplitudes from numerical evaluations
Giuseppe De Laurentis, Daniel Maître
In this article we present a method to generate analytic expressions for the integral coefficients of loop amplitudes using numerical evaluations only. We use high-precision arithm…