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We report on our recent work [1] where we compute the $q\bar q g$ contribution to the diffractive structure functions in high-energy deep inelastic scattering (DIS). The obtained result corresponds to a self-contained, finite part of the next-to-leading-order (NLO) contribution to the diffractive cross section. Previous phenomenological applications have included this contribution only in the high-$Q^2$ or high-$M_X^2$ limits in the case of a soft gluon, and we numerically demonstrate that these existing estimates do not provide a good approximation for the full $q\bar q g$ contribution. Furthermore, we demonstrate that in addition to the soft gluon contribution, there is an equally important soft quark contribution to the diffractive structure functions at high $Q^2$. We also report on our ongoing work to include the remaining contributions in order to compute the diffractive DIS structure functions at NLO.
[1] A. Kaushik, H. Mäntysaari and J. Penttala, Diffractive deep inelastic scattering in the dipole picture: the $q\bar q g$ contribution in exact kinematics, arXiv:2510.24171 [hep-ph].
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