https://doi.org/10.1051/epjconf/202431400020
Rapidity-only evolution of TMDs
Department of Mathematics and Physics, University of Salento, and Sezione di Lecce, Istituto Nazionale di Fisica Nucleare, Via Arnesano, Lecce, I-73100, Italy
* e-mail: giovanni.chirilli@le.infn.it
Published online: 10 December 2024
The most known scheme to regulates the rapidity/UV divergences of the Transverse Momentum Distribution operators due to the infinite light-like gauge links are the Collis Soper Sterman (CSS) formalism or the Soft Collinear Effective Theory (SCET) formalism. An alternative procedure is provided by the scheme used in the small-xB physics. The corresponding evolution equations differ already in leading order. Because of the future Electron-Ion Collider experiment, which will probe the TMDs at values of the Bjorken x in the region between small-xB to xB ∼ 1, the different formalisms need to be reconciled. I will discuss the conformal properties of TMD operators and present the result of the conformal rapidity evolution of TMD operators in the Sudakov region. In particular, I will present the calculation of the scale of the coupling constant obtained using the BLM procedure.
© The Authors, published by EDP Sciences, 2024
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