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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.
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Contributor : Emmanuelle Vernay <>
Submitted on : Thursday, April 6, 2017 - 9:17:31 AM
Last modification on : Thursday, November 19, 2020 - 1:01:46 PM

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




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. pp.049. ⟨in2p3-01502748⟩



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