Leading-colour two-loop virtual amplitudes for ttbar+jet are extracted analytically via finite-field evaluations and differential equations, then packaged in a C++ library with new numerical integration techniques.
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Infrared singularities of scattering amplitudes in perturbative QCD
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abstract
An exact formula is derived for the infrared singularities of dimensionally regularized scattering amplitudes in massless QCD with an arbitrary number of legs, valid at any number of loops. It is based on the conjecture that the anomalous-dimension matrix of n-jet operators in soft-collinear effective theory contains only a single non-trivial color structure, whose coefficient is the cusp anomalous dimension of Wilson loops with light-like segments. Its color-diagonal part is characterized by two anomalous dimensions, which are extracted to three-loop order from known perturbative results for the quark and gluon form factors. This allows us to predict the three-loop coefficients of all 1/epsilon^k poles for an arbitrary n-parton scattering amplitudes, generalizing existing two-loop results.
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UNVERDICTED 8representative citing papers
First numerical evaluation of planar two-loop helicity amplitudes for W-boson plus four partons using finite-field reduction and sector decomposition on a subset of master integrals.
Analytic expressions for the finite remainders of two-loop leading-color helicity amplitudes in Higgs plus two-jet production are obtained in the heavy-top effective theory using numerical unitarity and a new partial-fraction algorithm.
A decomposition splits the most singular dipole term of the N-jettiness soft function into an inclusive soft function and a remainder that is absent at NLO, finite at NNLO, and subtractable at N3LO, enabling NNLO results for up to five jets.
Loop-level Carrollian amplitudes in N=4 SYM and N=8 supergravity are differential operators on tree-level versions, with logarithmic eikonal behavior and IR-safe factorization via natural splitting.
Non-factorisable two-loop EW virtual corrections to single-resonant processes reduce to an iteration of the one-loop result plus a new light-fermion contribution in dimensional regularization and are specific to single-resonance exchange.
A lightcone-expansion strategy using Wilson-line correlators and the Method of Regions yields the three-loop soft anomalous dimension for QCD amplitudes with one massive colored particle and arbitrary massless ones.
Linear power corrections in energy correlators have a universal anomalous scaling because the dijet operator must be combined with a triple-jet component at one-loop order.
citing papers explorer
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Double virtual QCD corrections to $t\bar{t}+$jet production at the LHC
Leading-colour two-loop virtual amplitudes for ttbar+jet are extracted analytically via finite-field evaluations and differential equations, then packaged in a C++ library with new numerical integration techniques.
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A numerical evaluation of planar two-loop helicity amplitudes for a W-boson plus four partons
First numerical evaluation of planar two-loop helicity amplitudes for W-boson plus four partons using finite-field reduction and sector decomposition on a subset of master integrals.
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Two-loop leading-color QCD corrections for Higgs plus two-jet production in the heavy-top limit
Analytic expressions for the finite remainders of two-loop leading-color helicity amplitudes in Higgs plus two-jet production are obtained in the heavy-top effective theory using numerical unitarity and a new partial-fraction algorithm.
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$N$-Jettiness Soft Functions Made Simple
A decomposition splits the most singular dipole term of the N-jettiness soft function into an inclusive soft function and a remainder that is absent at NLO, finite at NNLO, and subtractable at N3LO, enabling NNLO results for up to five jets.
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On Carrollian Loop Amplitudes for Gauge Theory and Gravity
Loop-level Carrollian amplitudes in N=4 SYM and N=8 supergravity are differential operators on tree-level versions, with logarithmic eikonal behavior and IR-safe factorization via natural splitting.
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Non-factorisable electroweak virtual corrections to single-resonant processes
Non-factorisable two-loop EW virtual corrections to single-resonant processes reduce to an iteration of the one-loop result plus a new light-fermion contribution in dimensional regularization and are specific to single-resonance exchange.
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Progress on the soft anomalous dimension in QCD
A lightcone-expansion strategy using Wilson-line correlators and the Method of Regions yields the three-loop soft anomalous dimension for QCD amplitudes with one massive colored particle and arbitrary massless ones.
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Operator structure of power corrections and anomalous scaling in energy correlators
Linear power corrections in energy correlators have a universal anomalous scaling because the dijet operator must be combined with a triple-jet component at one-loop order.