Next-to-leading power endpoint factorization and resummation for off-diagonal “gluon” thrust

Beneke, M.; Garny, M.; Jaskiewicz, S.; Strohm, J.; Szafron, R.; Vernazza, L.; Wang, J.

Abstract

The lack of convergence of the convolution integrals appearing in next-to-leading-power (NLP) factorization theorems prevents the applications of existing methods to resum power-suppressed large logarithmic corrections in collider physics. We consider thrust distribution in the two-jet region for the flavour-nonsinglet off-diagonal contribution, where a gluon-initiated jet recoils against a quark-antiquark pair, which is power-suppressed. With the help of operatorial endpoint factorization conditions, we obtain a factorization formula, where the individual terms are free from endpoint divergences in convolutions and can be expressed in terms of renormalized hard, soft and collinear functions in four dimensions. This allows us to perform the first resummation of the endpoint-divergent SCETI observables at the leading logarithmic accuracy using exclusively renormalization-group methods. The presented approach relies on universal properties of the soft and collinear limits and may serve as a paradigm for the systematic NLP resummation for other 1 → 2 and 2 → 1 collider physics processes.

Citation

Beneke, M., Garny, M., Jaskiewicz, S., Strohm, J., Szafron, R., Vernazza, L., & Wang, J. (2022). Next-to-leading power endpoint factorization and resummation for off-diagonal “gluon” thrust. Journal of High Energy Physics, 2022(7), Article 144. https://doi.org/10.1007/jhep07%282022%29144

• Journal Article Type: Article
• Acceptance Date: Jun 21, 2022
• Online Publication Date: Jul 26, 2022
• Publication Date: 2022-07
• Deposit Date: Aug 17, 2022
• Publicly Available Date: Aug 17, 2022
• 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: 2022
• Issue: 7
• Article Number: 144
• DOI: https://doi.org/10.1007/jhep07%282022%29144
• Public URL: https://durham-repository.worktribe.com/output/1196979