#### Abstract

We calculate the contribution from the $q\overline{q}g$ state production to the diffractive cross sections in deep inelastic scattering at high energy. The obtained cross section is finite by itself and a part of the full next-to-leading order result for the diffractive structure functions. We perform the calculation in exact kinematics in the eikonal limit, and show that the previously known high-${Q}^{2}$ and large ${M}_{X}^{2}$ results for the structure functions can be extracted from our results in the appropriate limits. We furthermore discuss the steps required to obtain the full next-to-leading order results for the structure functions.

5 More- Received 1 July 2022
- Accepted 23 September 2022

DOI:https://doi.org/10.1103/PhysRevD.106.094014

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP^{3}.

Published by the American Physical Society