Initial-final and initial-initial antenna functions for real radiation at next-to-leading order

Fox, Elliot; Glover, Nigel

Abstract

The antenna subtraction method has achieved remarkable success in various processes relevant to the Large Hadron Collider. In Reference [1], an algorithm was proposed for constructing real-radiation antenna functions for electron-positron annihilation, directly from specified unresolved limits, accommodating any number of real emissions. Here, we extend this algorithm to build antennae involving partons in the initial state, specifically the initial-final and initial-initial antennae. Using this extended algorithm, we explicitly construct all NLO QCD antenna functions and compare them with previously extracted antenna functions derived from matrix elements. Additionally, we rigorously match the integration of the antenna functions over the initial-final and initial-initial unresolved phase space with the previous approach, providing an independent validation of our results. The improved antenna functions are more compact and reduced in number, making them more readily applicable for higher-order calculations.

Citation

Fox, E., & Glover, N. (2023). Initial-final and initial-initial antenna functions for real radiation at next-to-leading order. Journal of High Energy Physics, 2023(12), Article 171. https://doi.org/10.1007/jhep12%282023%29171

• Journal Article Type: Article
• Acceptance Date: Dec 11, 2023
• Online Publication Date: Dec 27, 2023
• Publication Date: 2023-12
• Deposit Date: Feb 26, 2024
• Publicly Available Date: Feb 26, 2024
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2023
• Issue: 12
• Article Number: 171
• DOI: https://doi.org/10.1007/jhep12%282023%29171
• Keywords: Deep Inelastic Scattering or Small-x Physics, Automation, Higher-Order Perturbative Calculations
• Public URL: https://durham-repository.worktribe.com/output/2082652