Abstract

Transverse-momentum-dependent distributions (TMDs) are extensions of collinear parton distributions and are important in high-energy physics from both theoretical and phenomenological points of view. In this manual we introduce the library {TMDlib }, a tool to collect transverse-momentum-dependent parton distribution functions (TMD PDFs) and fragmentation functions (TMD FFs) together with an online plotting tool, TMDplotter. We provide a description of the program components and of the different physical frameworks the user can access via the available parameterisations.

Highlights

  • The Quantum Chromodynamics (QCD) interpretation of high-energy particle reactions requires a simultaneous treatment of processes at different energy scales

  • When two protons collide in a Drell–Yan (DY) event the high-energy partonic cross section is described with a perturbative QCD expansion and the soft physics underlying the structure of the hadrons is treated with parton distribution functions (PDFs), supplemented by QCD evolution

  • To initialise the uncertainty sets with irep or to initialise a given irep replica in a Monte Carlo unintegrated parton distribution functions (uPDFs)/Transverse-momentum-dependent distributions (TMDs) set specified by its name name and imode:

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Summary

Introduction

The Quantum Chromodynamics (QCD) interpretation of high-energy particle reactions requires a simultaneous treatment of processes at different energy scales. For particular processes in hadronic collisions, like heavy flavour or heavy boson (including Higgs) production, TMD factorisation has been formulated in the high-energy (small-x) limit [17,18,19,20]. In this context, the functions encoding the hadronic structure are more often referred to as unintegrated parton distribution functions (uPDFs), see e.g. Refs. The former is designed for semi-inclusive processes differential in a particular physical transverse momentum and with a finite and nonzero ratio between the hard scale and the overall energy The latter (high-energy TMD factorisation) is designed for the limit of a fixed hard scale and very high energies.

TMD factorisation and evolution
TMDlib documentation
Method
Conclusions and feedback

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