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arXiv · 1607.01507

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

M. Hentschinski·A. Kusina·K. Kutak
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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.

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M. Hentschinski, A. Kusina, K. Kutak. 2016-07-06. Transverse momentum dependent splitting functions at work: quark-to-gluon splitting. https://doi.org/10.1103/physrevd.94.114013

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