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PDF and $alpha_s$ determination at the LHeC and FCC-he
An update is presented on the possibilities for precision QCD studies at the LHeC and the FCC-he. Specifically, we will show recent results on the determination of nucleon PDFs with complete flavour decomposition and of the value of the strong coupling constant with per mille accuracy. The implications of such measurements on Higgs physics and on high mass BSM searches at the HL-LHC will be discussed.