Two-loop anomalous dimensions of generic dijet soft functions

Bell, Guido; Rahn, Rudi Michael; Talbert, Jim (2018). Two-loop anomalous dimensions of generic dijet soft functions. Nuclear physics B, 936, pp. 520-541. Elsevier 10.1016/j.nuclphysb.2018.09.026

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We present compact integral representations for the calculation of two-loop anomalous dimensions for a generic class of soft functions that are defined in terms of two light-like Wilson lines. Our results are relevant for the resummation of Sudakov logarithms for e⁺e⁻ event-shape variables and inclusive hadron-collider observables at next-to-next-to-leading logarithmic accuracy within Soft-Collinear Effective Theory (SCET). Our formalism applies to both SCET-1 and SCET-2 soft functions and we clarify the relation between the respective soft anomalous dimension and the collinear anomaly exponent. We confirm existing two-loop results for about a dozen dijet soft functions and obtain new predictions for the angularity event shape and the soft-drop jet-grooming algorithm.

Item Type:

Journal Article (Original Article)

Division/Institute:

08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Bell, Guido and Rahn, Rudi Michael

Subjects:

500 Science > 530 Physics

ISSN:

0550-3213

Publisher:

Elsevier

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

28 Dec 2018 14:14

Last Modified:

25 Oct 2019 20:25

Publisher DOI:

10.1016/j.nuclphysb.2018.09.026

ArXiv ID:

1805.12414

BORIS DOI:

10.7892/boris.122140

URI:

https://boris.unibe.ch/id/eprint/122140

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