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