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Journal Articles Physical Review D Year : 2016

Transverse momentum dependent splitting functions at work: quark-to-gluon splitting

M. Hentschinski
  • Function : Author
K. Kutak
  • Function : Author

Abstract

Using the recently obtained Pgq splitting function we extend the low x evolution equation for gluons to account for contributions originating from quark-to-gluon splitting. 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.

Dates and versions

in2p3-01343564 , version 1 (08-07-2016)

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M. Hentschinski, A. Kusina, K. Kutak. Transverse momentum dependent splitting functions at work: quark-to-gluon splitting. Physical Review D, 2016, 94, pp.114013 ⟨10.1103/PhysRevD.94.114013⟩. ⟨in2p3-01343564⟩
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