Experimental Review of the Quarkonium Physics at the LHC

We review recent heavy quarkonium measurements in $pp$, $p\mathrm{Pb}$, and $\mathrm{PbPb}$ collisions at the LHC by the ALICE, ATLAS, CMS, and LHCb collaborations using Run 2 and early Run 3 data. Production studies include present differential cross sections and polarization measurements of charmonium and bottomonium, providing precise tests of QCD theoretical calculations and unveiling symmetry relations among spin and orbital configurations. Notably, a $t\bar{t}$ quasi bound state has been observed at the LHC recently. Suppression analyses quantify the sequential melting of bottomonium states in $\mathrm{PbPb}$ collisions, serving as a probe of the deconfined quark gluon plasma. Cold nuclear matter effects are constrained through comparisons of quarkonium yields in $p\mathrm{Pb}$ and $pp$ collisions. Furthermore, multi quarkonium investigations observe di and tri quarkonium production processes and resonances, exploring multi parton interactions and the symmetry structure underlying exotic hadron states.