TMD splitting functions and the corresponding evolution equation

Abstract : We generalize the Catani Hautmann formalism to calculate the Pgq and Pqq transverse momentum dependent splitting functions. Then we use the obtained Pgq kernel to construct a low-x evolution equation for gluons that takes into account the effect of non-diagonal quark-to-gluon splittings. In order to write down a consistent equation we resum virtual corrections coming from the gluon channel and demonstrate that this implies a suitable regularization of the Pgq singularity, corresponding to a soft emitted quark. We also note that the obtained equation is in a straightforward manner generalized to a nonlinear evolution equation which takes into account effects due to the presence of high gluon densities.
Type de document :
Communication dans un congrès
25th International Workshop on Deep Inelastic Scattering and Related Topics (DIS 17), Apr 2017, Birmingham, United Kingdom. Proceedings of Science, pp.049, 2017, DIS2017. 〈https://indico.cern.ch/event/568360〉
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http://hal.in2p3.fr/in2p3-01502748
Contributeur : Emmanuelle Vernay <>
Soumis le : jeudi 6 avril 2017 - 09:17:31
Dernière modification le : jeudi 11 janvier 2018 - 06:13:10

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  • HAL Id : in2p3-01502748, version 1
  • ARXIV : 1708.08057

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Citation

A. Kusina. TMD splitting functions and the corresponding evolution equation. 25th International Workshop on Deep Inelastic Scattering and Related Topics (DIS 17), Apr 2017, Birmingham, United Kingdom. Proceedings of Science, pp.049, 2017, DIS2017. 〈https://indico.cern.ch/event/568360〉. 〈in2p3-01502748〉

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