  Precise measurements of the mass of the $W$ boson are important to test the
overall consistency of the Standard Model of particle physics. The current best
measurements of the $W$ boson mass come from single production measurements at
hadron colliders in its decay mode to a lepton (electron or muon) and a
neutrino and pair production of $W$ bosons at lepton colliders, where also the
decay mode of the $W$ boson to hadrons has been considered. In this study,
prospects for a measurement of the $W$ boson mass in the all-jet final state at
hadron colliders are presented. The feasibility of this measurement takes
advantage of numerous recent developments in the field of jet substructure.
Compared to other methods for measuring the $W$ mass, a measurement in the
all-jets final state would be complementary in methodology and have systematic
uncertainties orthogonal to previous measurements. We have estimated the main
experimental and theoretical uncertainties affecting a measurement in the
all-jet final state. With new trigger strategies, a statistical uncertainty for
the measurement of the mass difference between the $Z$ and $W$ bosons of 30 MeV
could be reached with HL-LHC data corresponding to 3000 fb$^{-1}$ of integrated
luminosity. However, in order to reach that precision, the current
understanding of non-perturbative contributions to the invariant mass of $W\to
q\bar{q}'$ and $Z\to b\bar{b}$ jets will need to be refined. Similar strategies
will also allow the reach for generic boosted resonances searches in hadronic
channels to be extended.
