Self-contained definition of the Collins-Soper kernel

Abstract

The rapidity anomalous dimension (RAD), or Collins-Soper kernel, defines the scaling properties of transverse momentum dependent distributions and can be extracted from the experimental data. I derive a self-contained nonperturbative definition that represents RAD without reference to a particular process. This definition makes possible exploration of the properties of RAD by theoretical methods on one side, and the properties of QCD vacuum with collider measurements on another side. To demonstrate these possibilities, I compute the power correction to RAD, its large-b asymptotic, and compare these estimations with recent phenomenological extractions.

5 pages, 3 figures; v2. minor changes, update to the journal version

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Cited by in corpus (34)

• Unpolarized Transverse Momentum Distributions from a global fit of Drell-Yan and Semi-Inclusive Deep-Inelastic Scattering data
• Drell-Yan $q_T$ Resummation of Fiducial Power Corrections at N${}^3$LL
• Precision Studies of QCD in the Low Energy Domain of the EIC
• Determination of the Collins-Soper Kernel from Lattice QCD
• The Four Loop QCD Rapidity Anomalous Dimension
• Extraction of the Sivers function from SIDIS, Drell-Yan, and $W^{\pm }/Z$ boson production data with TMD evolution
• PDF bias and flavor dependence in TMD distributions
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• Lattice Calculation of the Intrinsic Soft Function and the Collins-Soper Kernel
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• High-Energy Factorization for Drell-Yan process in $pp$ and $p\bar{p}$ collisions with new Unintegrated PDFs
• Disentangling Long and Short Distances in Momentum-Space TMDs
• Transverse Momentum Dependent Fragmentation Functions from recent BELLE data
• Definition and evolution of transverse momentum dependent distribution of twist-three
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• Transverse momentum moments
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• Measurement of the angle between jet axes in pp collisions at $\sqrt{s}=5.02$ TeV
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• Operator product expansion for the non-local gluon condensate
• Collins-Soper Kernel in the QCD Instanton Vacuum
• Transverse momentum dependent distribution functions in the threshold limit
• Universality of the Collins-Soper kernel in lattice calculations
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• Revisiting the time-ordering issue of TMD soft factors: causality, coordinate space analyticity and new equalities