Conformal invariance of TMD rapidity evolution
2020 May 19
2020 May 26
Very well known schemes to regulate the rapidity/UV divergences of the Transverse Momentum Distribution operators due to the infinite light-like gauge links are the Collis Soper Sterman formalism or the Soft Collinear Effective Theory formalism. An alternative choice is provided by the scheme used in the small-x physics. The corresponding evolution equations differ already at leading order. In view of the future Electron Ion Collider accelerator, which will probe the TMDs at values of the Bjorken x in the region between small-x to x $\sim$ 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.