Transverse momentum dependent (TMD) parton distribution functions: status and prospects
R. Angeles-Martinez, A. Bacchetta, I.I. Balitsky, D. Boer, M., Boglione, R. Boussarie, F.A. Ceccopieri, I.O. Cherednikov, P. Connor, M.G., Echevarria, G. Ferrera, J. Grados Luyando, F. Hautmann, H. Jung, T. Kasemets,, K. Kutak, J.P. Lansberg, A. Lelek, G. Lykasov

TL;DR
This paper reviews the current state and future prospects of transverse momentum dependent (TMD) parton distribution functions, highlighting their theoretical foundations, applications in high-energy physics, and computational tools like TMDlib.
Contribution
It provides a comprehensive overview of TMDs, connecting them with QCD theories and demonstrating their use in analyzing multi-scale phenomena in hadronic collisions.
Findings
TMDs are crucial for understanding low q_T spectra of Higgs and vector bosons.
TMDlib facilitates parton density fits and parameterizations.
TMDs connect with QCD resummation, evolution, and factorization theorems.
Abstract
We provide a concise overview on transverse momentum dependent (TMD) parton distribution functions, their application to topical issues in high-energy physics phenomenology, and their theoretical connections with QCD resummation, evolution and factorization theorems. We illustrate the use of TMDs via examples of multi-scale problems in hadronic collisions. These include transverse momentum q_T spectra of Higgs and vector bosons for low q_T, and azimuthal correlations in the production of multiple jets associated with heavy bosons at large jet masses. We discuss computational tools for TMDs, and present an application of a new tool, TMDlib, to parton density fits and parameterizations.
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