The latest developments concerning the possibility of making muon-hadron
collisions by reusing the ERL infrastructure, proposed for the LHeC,
will be presented. At the LHuC, a 500 GeV \mu^+ beam will be colliding
with a 7 TeV proton beam, resulting in the centre-of-mass energy of 3.74
TeV (higher than at the FCC-eh), with the expected luminosity above
10^33 cm-2s-1.
First, bigger part of the talk will be dedicated to the discussion of
the LHuC concept – from the ultra-cold source, through the muon
booster, to the main muon ring. Initial considerations regarding the
machine-detector interface and the general-purpose detector will be also
presented. In the second part, an overview of the LHC scientific
programme will be given, with highlights from QCD, through the
Higgs-Electroweak-Top (HET) sector, to the beyond Standard Model case.