Threshold resummation of Semi-Inclusive Deep-Inelastic Scattering
Abstract
We derive threshold resummation of semi-inclusive deep-inelastic scattering (SIDIS), by building upon previous results by some of us for the resummation of the Drell-Yan process at fixed rapidity, which is related to SIDIS by crossing. We consider both a double-soft limit, in which both the Bjorken and the fragmentation scaling variables tend to their threshold value, and single soft limits in which either of them does. We show that in the former limit only soft radiation contributes, and in the latter limit only collinear radiation, and we derive resummed expressions for the coefficient functions in all cases. We determine explictly resummation coefficients in the nonsinglet channel up to next-to-next-to-leading log by comparing to recent fixed next-to-next-to-leading order results. Expanding out the single-soft resummation we reproduce recent next-to-leading power results.
Keywords
Cite
@article{arxiv.2601.06245,
title = {Threshold resummation of Semi-Inclusive Deep-Inelastic Scattering},
author = {Stefano Forte and Giovanni Ridolfi and Francesco Ventola},
journal= {arXiv preprint arXiv:2601.06245},
year = {2026}
}
Comments
28 pages, no figures. (v2) Affiliation and acknowledgement fixed, preprint number and reference added. (v3) Final version, as published on EPJC. A few typos fixed and notation improved. (v4) Four more minor typos corrected