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The 2-years old observation at LHC of a new boson, with a mass of 126 GeV, isa great achievement. Its interpretation as a Brout-Englert-Higgs boson is veryplausible and appealing to complete the zoology of fundamental particles in theStandard Model. The interplay between theorists and experimentalists that wehave witnessed has come with a huge work to determine with enough precision theparameters of the Standard Model: couplings, masses, mixing angles. Among thevarious tools developed by physicists, lattice QCD is particularly suitable toknow those parameters in the quark sector. In this report I discuss the latticemeasurement of Standard Model fundamental parameters that are closely relatedto Higgs boson: its main production mode is the gluon-gluon fusion, whose themagnitude is governed by the strong coupling constant, while its most favoreddecay channel, $H \to b \bar{b}$, has a coupling proportional to the $b$ quarkmass. I outline the improvements brought by the lattice community: simulationswith $N_f=2+1+1$ dynamical quarks are crucial to study how much the charm quarkimpacts the strong coupling constant calculation. A non perturbative matchingbetween Heavy Quark Effective Theory and QCD is welcome to handle in anappropriate way the $b$ quark physics. An extensive methodological explorationis necessary to get rid of contribution from excited states in correlationfunctions computed to extract hadron masses and decay constants. The effort tomeasure the $u/d$, $s$ and $c$ quark masses is also discussed, illustrating thebenefit of using an automatic $O(a)$ improved lattice regularization.

On the first-principles determination of the Standard Model fundamental parameters in the quark sector