The results of a model-independent search for the pair production of new bosons within a mass range of 0.21 $\lt$$m$$\lt$ 60 GeV, are presented. This study utilizes events with a four-muon final state. We use two data sets, comprising 41.5 fb$^{-1}$ and 59.7 fb$^{-1}$ of proton-proton collisions at $\sqrt{s}$ = 13 TeV, recorded in 2017 and 2018 by the CMS experiment at the CERN LHC. The study of the 2018 data set includes a search for displaced signatures of a new boson within the proper decay length range of 0 $\lt$$c\tau$$\lt$ 100 $\mu$m. Our results are combined with a previous CMS result, based on 35.9 fb$^{-1}$ of proton-proton collisions at $\sqrt{s}$ = 13 TeV collected in 2016. No significant deviation from the expected background is observed. Results are presented in terms of a model-independent upper limit on the product of cross section, branching fraction, and acceptance. The findings are interpreted across various benchmark models, such as an axion-like particle model, a vector portal model, the next-to-minimal supersymmetric standard model, and a dark supersymmetric scenario, including those predicting a non-negligible proper decay length of the new boson. In all considered scenarios, substantial portions of the parameter space are excluded, expanding upon prior results.
The model-independent 95\% \CL expected and observed upper limits set on ${\sigma(\PP\to 2\Pa+\PX)\mathcal{B}^2(\Pa\to 2\PGm)\alphaGen}$ over the range $0.21 < \MPa < 60\GeV$ for the 2017 analysis. Mass ranges that overlap with \JPsi and \PgU resonances are excluded from the search
The model-independent 95\% \CL expected and observed upper limits set on ${\sigma(\PP\to 2\Pa+\PX)\mathcal{B}^2(\Pa\to 2\PGm)\alphaGen}$ over the range $0.21 < \MPa < 60\GeV$ for the 2018 analysis. Mass ranges that overlap with \JPsi and \PgU resonances are excluded from the search
The model-independent 95\% \CL expected and observed upper limits set on ${\sigma(\PP\to 2\Pa+\PX)\mathcal{B}^2(\Pa\to 2\PGm)\alphaGen}$ over the range $0.21 < \MPa < 60\GeV$ for the combined 2017 and 2018 analyses. Mass ranges that overlap with \JPsi and \PgU resonances are excluded from the search
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