Lepton flavor in Higgs boson decays

This proceeding reports a selection of recent experimental results on the Higgs boson couplings with charged fermions. These results are published by the ATLAS and the CMS experiments based on a proton-proton collision dataset at ${\sqrt{s}= 13\ \text{TeV}}$ with an integrated luminosity of about ${138\ \text{fb}^{-1}}$ collected during Run 2 of the LHC. The first part are results on the Standard Model predicted decays of the Higgs boson to a pair of opposite-charged, same-flavor fermions. These include the first evidence of the $H\to\mu\mu$ decay and constraints on the $H\to ee$ and $H\to c\bar{c}$ decays. The second part focuses on the searches for the lepton flavor violating decays of the Higgs boson, including $H\to \mu\tau$, $H\to e\tau$, and $H\to e\mu$.