Chiara Arina, Benjamin Fuks, Luca Panizzi, Michael J. Baker, Alan S. Cornell, Jan Heisig, Benedikt Maier, Rute Pedro, Dominique Trischuk, Diyar Agin, Alexandre Arbey, Giorgio Arcadi, Emanuele Bagnaschi, Kehang Bai, Disha Bhatia, Mathias Becker, Alexander Belyaev, Ferdinand Benoit, Monika Blanke, Jackson Burzynski, Jonathan M. Butterworth, Antimo Cagnotta, Lorenzo Calibbi, Linda M. Carpenter, Xabier Cid Vidal, Emanuele Copello, Louie Corpe, Francesco D'Eramo, Aldo Deandrea, Aman Desai, Caterina Doglioni, Sunil M. Dogra, Mathias Garny, Mark D. Goodsell, Sohaib Hassan, Philip Coleman Harris, Julia Harz, Alejandro Ibarra, Alberto Orso Maria Iorio, Felix Kahlhoefer, Deepak Kar, Shaaban Khalil, Valery Khoze, Pyungwon Ko, Sabine Kraml, Greg Landsberg, Andre Lessa, Laura Lopez-Honorez, Alberto Mariotti, Vasiliki A. Mitsou, Kirtimaan Mohan, Chang-Seong Moon, Alexander Moreno Briceño, María Moreno Llácer, Léandre Munoz-Aillaud, Taylor Murphy, Anele M. Ncube, Wandile Nzuza, Clarisse Prat, Lena Rathmann, Thobani Sangweni, Dipan Sengupta, William Shepherd, Sukanya Sinha, Tim M. P. Tait, Andrea Thamm, Michel H. G. Tytgat, Zirui Wang, David Yu, Shin-Shan Yu
This report, summarising work achieved in the context of the LHC Dark Matter Working Group, investigates the phenomenology of $t$-channel dark matter models, spanning minimal setups with a single dark matter candidate and mediator to more complex constructions closer to UV-complete models. For each considered class of models, we examine collider, cosmological and astrophysical implications. In addition, we explore scenarios with either promptly decaying or long-lived particles, as well as featuring diverse dark matter production mechanisms in the early universe. By providing a unified analysis framework, numerical tools and guidelines, this work aims to support future experimental and theoretical efforts in exploring $t$-channel dark matter models at colliders and in cosmology.