Measurements of Higgs boson production, where
the Higgs boson decays into a pair of τ leptons, are presented,
using a sample of proton-proton collisions collected with the
CMS experiment at a center-of-mass energy of 13 TeV, cor responding to an integrated luminosity of 138 fb−1. Three
analyses are presented. Two are targeting Higgs boson pro duction via gluon fusion and vector boson fusion: a neural
network based analysis and an analysis based on an event cat egorization optimized on the ratio of signal over background
events. These are complemented by an analysis targeting vec tor boson associated Higgs boson production. Results are
presented in the form of signal strengths relative to the stan dard model predictions and products of cross sections and
branching fraction to τ leptons, in up to 16 different kine matic regions. For the simultaneous measurements of the
neural network based analysis and the analysis targeting vec tor boson associated Higgs boson production signal strengths
are found to be 0.82 ± 0.11 for inclusive Higgs boson pro duction, 0.67±0.19 (0.81±0.17) for the production mainly
via gluon fusion (vector boson fusion), and 1.79 ± 0.45 for
vector boson associated Higgs boson production.