The trigger system of the CMS detector is pivotal in the acquisition of data for physics
measurements and searches. Studies of final states characterized by hadronic decays of tau leptons
require the reconstruction and the identification of genuine tau leptons against quark- and gluon-initiated
jets at the trigger level. This is a difficult task, particularly as improvements to the LHC have resulted
in an increased number of interactions per bunch crossing in recent years. To address this challenge,
a series of machine-learning algorithms with high identification efficiency and low computational
cost have been incorporated into the high-level trigger for hadronically decaying tau leptons. In
this paper, these developments and the trigger performance are summarized using data collected
by the CMS experiment in proton-proton collisions at √s = 13.6TeV in 2022–2023, corresponding
to an integrated luminosity of 62fb−1.