Factorization of the soft gluon divergence from the dipole picture deep inelastic scattering cross sections at next-to-leading order
Ducloué, B., Hänninen, H., Lappi, T., & Zhu, Y. (2018). Factorization of the soft gluon divergence from the dipole picture deep inelastic scattering cross sections at next-to-leading order. In DIS 2018 : Proceedings of the XXVI International Workshop on Deep-Inelastic Scattering and Related Subjects (pp. 058). PoS : Proceedings of Science, 316. Sissa. doi:10.22323/1.316.0058
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2018Copyright
© the Author(s), 2018.
We use a factorization scheme analogous to one proposed for single inclusive forward hadron
production to factorize the soft gluon divergence present in the deep inelastic scattering cross
sections in the dipole picture at next-to-leading order (NLO). We show numerically that in this
carefully constructed scheme it is possible to obtain meaningful results for the DIS cross sections
at NLO, and so we are able to quantitatively study the recently derived NLO corrections to the
DIS cross sections. We find that the NLO corrections can be significant and sensitive to the details of the factorization scheme used for the resummation of the large logarithms into the BK
evolution equation. In the case of an approximative factorization scheme we observe a problematic behavior of the DIS cross sections similar to what has been seen with analogously factorized
single inclusive cross sections.