Threshold factorization of the Drell-Yan quark-gluon channel and two-loop soft function at next-to-leading power

Broggio, Alessandro; Jaskiewicz, Sebastian; Vernazza, Leonardo

Abstract

We present a factorization theorem of the partonic Drell-Yan off-diagonal processes gq¯qg→γ∗+X in the kinematic threshold regime z=Q2/ŝ→1 at general subleading powers in the (1 − z) expansion. Focusing on the first order of the expansion (next-to-leading power accuracy with respect to the leading power qq¯ channel), we validate the bare factorization formula up to Oαs2. This is achieved by carrying out an explicit calculation of the generalized soft function in d-dimensions using the reduction to master integrals and the differential equations method. The collinear function is a universal object which we compute from an operator matching equation at one-loop level. Next, we integrate the soft and collinear functions over the convolution variables and remove the remaining initial state collinear singularities through PDF renormalization. The resulting expression agrees with the known cross section in the literature.

Citation

Broggio, A., Jaskiewicz, S., & Vernazza, L. (2023). Threshold factorization of the Drell-Yan quark-gluon channel and two-loop soft function at next-to-leading power. Journal of High Energy Physics, 2023(12), Article 28. https://doi.org/10.1007/jhep12%282023%29028

• Journal Article Type: Article
• Acceptance Date: Nov 19, 2023
• Online Publication Date: Dec 4, 2023
• Publication Date: 2023-12
• Deposit Date: Jan 5, 2024
• Publicly Available Date: Jan 5, 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: 28
• DOI: https://doi.org/10.1007/jhep12%282023%29028
• Keywords: Effective Field Theories of QCD, Higher-Order Perturbative Calculations, Factorization, Resummation, Renormalization Group
• Public URL: https://durham-repository.worktribe.com/output/1987588