Correspondence between Soft and Rapidity Anomalous Dimensions

Vladimirov, Alexey A. (2017) Correspondence between Soft and Rapidity Anomalous Dimensions. PHYSICAL REVIEW LETTERS, 118 (6): 062001. ISSN 0031-9007, 1079-7114

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Abstract

We establish a correspondence between ultraviolet singularities of soft factors for multiparticle production and rapidity singularities of soft factors for multiparton scattering. This correspondence is a consequence of the conformal mapping between scattering geometries. The correspondence is valid to all orders of perturbation theory and in this way, provides one with a proof of rapidity renormalization procedure for multiparton scattering [including the transverse momentum dependent (TMD) factorization as a special case]. As a by-product, we obtain an exact relation between the rapidity anomalous dimension and the well-known soft anomalous dimension. The three-loop expressions for TMD and a general multiparton scattering rapidity anomalous dimension are derived.

Item Type: Article
Uncontrolled Keywords: CROSS-SECTIONS; RESUMMATION; QCD; EVOLUTION; LOOP;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 14 Dec 2018 13:01
Last Modified: 27 Feb 2019 10:57
URI: https://pred.uni-regensburg.de/id/eprint/399

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