Antenna subtraction for final-state radiation at N$^3$LO
Petr Jakub\v{c}\'ik
TL;DR
This paper reviews antenna subtraction techniques at NNLO in QCD, discusses their extension to N$^3$LO, and details the construction and integration of antenna functions for precise jet production predictions at lepton colliders.
Contribution
It introduces the necessary antenna functions for N$^3$LO final-state radiation and elaborates on their phase-space integration and application to collider observables.
Findings
Development of antenna functions for N$^3$LO
Phase-space integration methods for antenna functions
Application to precision jet observables at lepton colliders
Abstract
I review some aspects of antenna subtraction at next-to-next-to-leading order (NNLO) in QCD and provide motivation for its extension to NLO. Next, I introduce the antenna functions required for the construction of infrared counterterms for final-state radiation at this order. Lastly, I describe the evaluation of the antenna functions and their phase-space integration, first presented in [1-3], and I elaborate on their application to precision observables in jet production at lepton colliders.
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Taxonomy
TopicsParticle physics theoretical and experimental studies · Particle Accelerators and Free-Electron Lasers · Particle accelerators and beam dynamics