Collins-Soper Equation for the Energy Evolution of Transverse-Momentum and Spin Dependent Parton Distributions

Abstract

The hadron-energy evolution (Collins and Soper) equation for all the leading-twist transverse-momentum and spin dependent parton distributions is derived in the impact parameter space. Based on the result, we present resummation formulas for the spin structure functions in the semi-inclusive deep inelastic scattering.

arXiv comment16 pages, 4 figures included, revised version

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Cited by in corpus (58)

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• 50 Years of Quantum Chromodynamics
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• TMD Evolution: Matching SIDIS to Drell-Yan and W/Z Boson Production
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• Drell-Yan Lepton Angular Distribution at Small Transverse Momentum
• Gluon-gluon contributions to the production of continuum diphoton pairs at hadron colliders
• Energy Evolution for the Sivers Asymmetries in Hard Processes
• Semi-inclusive Deep Inelastic Scattering at small x
• Extraction of the Sivers function from SIDIS, Drell-Yan, and $W^{\pm }/Z$ boson production data with TMD evolution
• Transverse-Momentum-Dependent Gluon Distributions and Semi-inclusive Processes at Hadron Colliders
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• Drell-Yan Lepton Pair Azimuthal Asymmetry in Hadronic Processes
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• The $\sin (2\varphi -{\varphi }_S)$ azimuthal asymmetry in the pion induced Drell-Yan process within TMD factorization
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• $\sin ({\varphi }_{\Lambda }-{\varphi }_S)$ azimuthal asymmetry in transversely polarized $\Lambda$ production in SIDIS within TMD factorization at EIC
• The Collins asymmetry in electroproduction of Kaon at the electron ion colliders within TMD factorization
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• Transverse momentum dependent quark distributions and polarized Drell-Yan processes
• Phenomenology of Transverse Momentum Dependent Parton Densities
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