Radiation from a gluon-gluino colour-singlet dipole at N 3 LO

Chen, Xuan; Jakubčík, Petr; Marcoli, Matteo; Stagnitto, Giovanni

Abstract

We compute the quantum chromodynamics (QCD) corrections to the decay of a neutralino to gluinos and partons at next-to-next-to-next-to-leading order (N3LO) in the strong coupling constant αs, integrated separately over the phase-space of two, three, four or five particles in the final state. The resulting matrix elements are related to the quark-gluon antenna functions, completing the set of integrated antenna functions in final-final kinematics required for the extension of the antenna subtraction scheme to N3LO. For a model with massless partons (quarks and gluons) and an arbitrary number of adjoint fermions, we obtained the following new results to Oαs3: the inclusive cross section for the decay of a neutralino, the renormalization of the effective coupling of a neutralino to a gluino and gluon(s), the gluino collinear anomalous dimension, the gluino contribution to the parton collinear anomalous dimensions and the neutralino-gluino-gluon(s) vertex form factors. A special case of this model is the N = 1 super Yang-Mills theory, where we can relate some of our findings to known results.

Citation

Chen, X., Jakubčík, P., Marcoli, M., & Stagnitto, G. (2023). Radiation from a gluon-gluino colour-singlet dipole at N 3 LO. Journal of High Energy Physics, 2023(12), Article 198. https://doi.org/10.1007/jhep12%282023%29198

• Journal Article Type: Article
• Acceptance Date: Dec 13, 2023
• Online Publication Date: Dec 29, 2023
• Publication Date: 2023-12
• Deposit Date: Jan 16, 2024
• Publicly Available Date: Jan 16, 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: 198
• DOI: https://doi.org/10.1007/jhep12%282023%29198
• Keywords: Supersymmetry, Higher-Order Perturbative Calculations, Supersymmetric Gauge Theory
• Public URL: https://durham-repository.worktribe.com/output/2084979