New Results in kT-Factorization for ep-Processes

We report on newest results in $${{k}_{{\text{T}}}}$$ -factorization approach for $$ep$$ -processes. We describe HERA data on longitudinal structure function measurements as well as on associated prompt photon and jet photoproduction. The calculations include first application of the new LLM-2022 transverse momentum dependent gluon distribution developed by the authors. The study includes also the first implementation of parton showers for photoproduction processes in $${{k}_{{\text{T}}}}$$ -factorization. The data are described well with the simulations. The $$ep$$ -processes are included to the new version of Monte-Carlo generator pegasus.