Speaker
Benjamin Guiot
(Universidad Técnica Federico Santa María)
Description
Paying particular attention to the different types of gluons, collinear, soft and glauber, we show that the CGC Wilson lines usually identified as part of the TMD PDF operator should instead be interpreted as the equivalent of a soft factor. We argue that, in its standard formulation, the CGC does not contain the collinear sector required for a meaningful comparison with TMD factorization. We therefore construct small-$x$ PDFs including this collinear sector. Our result for the SIDIS cross section is obtained from an explicit calculation using CGC Feynman rules. Finally, we discuss the evolution of these small-$x$ PDFs with respect to the rapidity cutoff $\Lambda$ and the Bjorken variable $x_b$.