TMD splitting functions and the corresponding evolution equation

Aleksander Kusina
2017 Proceedings of XXV International Workshop on Deep-Inelastic Scattering and Related Subjects — PoS(DIS2017)   unpublished
We generalize the Catani Hautmann formalism to calculate the P gq and P qq transverse momentum dependent splitting functions. Then we use the obtained P gq 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 P gq singularity, corresponding to a
more » ... 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.
doi:10.22323/1.297.0049 fatcat:jsdpjtgiarg7nncqhwtbgcaafq