Search for Higgs boson and observation of Z boson through their decay into a charm quark-antiquark pair in boosted topologies in proton-proton collisions at $\sqrt{s}$ = 13 TeV

A search for the standard model (SM) Higgs boson (H) produced with transverse momentum greater than 450 GeV and decaying to a charm quark-antiquark ($\mathrm{c}\bar{\mathrm{c}}$) pair is presented. The search is performed using proton-proton collision data collected at $\sqrt{s}$ = 13 TeV by the CMS experiment at the LHC, corresponding to an integrated luminosity of 138 fb${}^{-1}$. Boosted H $\to$ $\mathrm{c}\bar{\mathrm{c}}$ decay products are reconstructed as a single large-radius jet and identified using a deep neural network charm tagging technique. The method is validated by measuring the Z $\to$ $\mathrm{c}\bar{\mathrm{c}}$ decay process, which is observed in association with jets at high $p_{\mathrm{T}}$ for the first time with a signal strength of 1.00 ${}_{-0.14}^{+0.17}$ (syst) $\pm$ 0.08 (theo) $\pm$ 0.06 (stat), defined as the ratio of the observed process rate to the standard model expectation. The observed (expected) upper limit on $\sigma$(H) $\mathcal{B}$(H $\to$ $\mathrm{c}\bar{\mathrm{c}}$) is set at 47 (39) times the SM prediction at 95% confidence level.