Measurement of the Higgs boson mass and width using the four-lepton final state in proton-proton collisions at $ \sqrt{s}=13\text{}\text{}\mathrm{TeV}$

A measurement of the Higgs boson mass and width via its decay to two $ Z$ bosons is presented. Proton-proton collision data collected by the CMS experiment, corresponding to an integrated luminosity of $ 138\text{}\text{}{\mathrm{fb}}^{-1}$ at a center-of-mass energy of 13 TeV, is used. The invariant mass distribution of four leptons in the on-shell Higgs boson decay is used to measure its mass and constrain its width. This yields the most precise single measurement of the Higgs boson mass to date, $ 125.04\pm 0.12\text{}\text{}\mathrm{GeV}$, and an upper limit on the width $ {\mathrm{\Gamma }}_{H}<330\text{}\text{}\mathrm{MeV}$ at 95% confidence level. A combination of the on- and off-shell Higgs boson production decaying to four leptons is used to determine the Higgs boson width, assuming that no new virtual particles affect the production, a premise that is tested by adding new heavy particles in the gluon fusion loop model. This result is combined with a previous CMS analysis of the off-shell Higgs boson production with decay to two leptons and two neutrinos, giving a measured Higgs boson width of $ {3.0}_{-1.5}^{+2.0}\text{}\text{}\mathrm{MeV}$, in agreement with the standard model prediction of 4.1 MeV. The strength of the off-shell Higgs boson production is also reported. The scenario of no off-shell Higgs boson production is excluded at a confidence level corresponding to 3.8 standard deviations.