May the four be with you: Novel IR-subtraction methods to tackle NNLO calculations

Abstract

In this report, we present a discussion about different frameworks to perform precise higher-order computations for high-energy physics. These approaches implement novel strategies to deal with infrared and ultraviolet singularities in quantum field theories. A special emphasis is devoted to the local cancellation of these singularities, which can enhance the efficiency of computations and lead to discover novel mathematical properties in quantum field theories.

92 pages, 7 figures

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• A novel subtraction scheme for double-real radiation at NNLO
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
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Cited by in corpus (40)

• 50 Years of Quantum Chromodynamics
• Higgs boson production in association with a top-antitop quark pair in next-to-next-to leading order QCD
• Non-abelian infrared divergences on the celestial sphere
• Geometrical approach to causality in multi-loop amplitudes
• $t\bar{t}H$ production at NNLO: the flavour off-diagonal channels
• Quantum algorithm for Feynman loop integrals
• Loop-tree duality from vertices and edges
• Precision studies for Drell-Yan processes at NNLO
• NNLO subtraction for any massless final state: a complete analytic expression
• Two-loop application of the Breitenlohner-Maison/'t Hooft-Veltman scheme with non-anticommuting ${\gamma }_5$: Full renormalization and symmetry-restoring counterterms in an abelian chiral gauge theory
• A general algorithm to build real-radiation antenna functions for higher-order calculations
• A general algorithm to build mixed real and virtual antenna functions for higher-order calculations
• Soft gluon-quark-antiquark emission in QCD hard scattering
• Locally finite two-loop QCD amplitudes from IR universality for electroweak production
• Generalised Antenna Functions for Higher-Order Calculations
• Triple-collinear splittings with massive particles
• Initial-Final and Initial-Initial antenna functions for real radiation at next-to-leading order
• Rewording Theoretical Predictions at Colliders with Vacuum Amplitudes
• A step towards a consistent treatment of chiral theories at higher loop order: the abelian case
• Local infrared safety in time-ordered perturbation theory
• A brief review of Implicit Regularization and its connection with the BPHZ theorem
• Building blocks of Cwebs in multiparton scattering amplitudes
• Locally finite two-loop amplitudes for electroweak production through gluon fusion
• Exploring slicing variables for jet processes
• Maximal transcendental weight contribution of scattering amplitudes
• Decomposition of Triple Collinear Splitting Functions
• Reconstructing partonic kinematics at colliders with Machine Learning
• Higgs boson decay into gluons in a 4D regularization: IR cancellation without evanescent fields to NLO
• Jet production at electron-positron colliders at next-to-next-to-next-to-leading order in QCD
• Advances towards the systematization of calculations with Implicit Regularization
• $q_T$-slicing with multiple jets
• Infrared Subtleties and Chiral Vertices at NLO: An Implicit Regularization Analysis
• Two-Loop Four-Fermion Scattering Amplitude in QED
• Towards a Fully Automated Differential ${\text{NNLO}}_{\text{EW}}$ Generator for Lepton Colliders
• Catani's generalization of collinear factorization breaking
• Mixed QCD-electroweak corrections to dilepton production at the LHC in the high invariant mass region
• Monte Carlo evaluation of divergent one-loop integrals without contour deformation
• Two-loop scattering amplitude for heavy-quark pair production through light-quark annihilation in QCD
• Integral of the double-emission eikonal function for a massive and a massless emitter at an arbitrary angle
• Coordinate light-cone-ordered perturbation theory