Power corrections and renormalons in Transverse Momentum Distributions

Abstract

We study the power corrections to Transverse Momentum Distributions (TMDs) by analyzing renormalon divergences of the perturbative series. The renomalon divergences arise independently in two constituents of TMDs: the rapidity evolution kernel and the small-b matching coefficient. The renormalon contributions have a non-trivial dependence on the Bjorken variable and the transverse distance. We discuss the consistency requirements for power corrections for TMDs and suggest inputs for the TMD phenomenology in accordance with this study. Both unpolarized quark TMD parton distribution function and fragmentation function are considered.

26 pages, 7 figures, version accepted by JHEP

References in corpus (7)

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• Parton distributions in the LHC era: MMHT 2014 PDFs
• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• Bootstrapping rapidity anomalous dimension for transverse-momentum resummation
• Unpolarized Transverse Momentum Dependent Parton Distribution and Fragmentation Functions at next-to-next-to-leading order
• Non-perturbative QCD effects in $q_T$ spectra of Drell-Yan and $Z$-boson production
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• Determining the Nonperturbative Collins-Soper Kernel From Lattice QCD
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• Systematic analysis of double-scale evolution
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• Probing Transverse-Momentum Dependent Evolution With Groomed Jets
• Transverse momentum dependent transversely polarized distributions at next-to-next-to-leading-order
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• Drell-Yan Transverse-Momentum Spectra at N${}^3$LL${}^{\prime }$ and Approximate N${}^4$LL with SCETlib
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