
Measurements of Higgs boson ($\mathrm{H}$) production cross sections in the four-lepton ($4\ell, \ell=\mathrm{e},\mu$) final state at a center-of-mass energy $\sqrt{s}=13.6\,\mathrm{TeV}$ are presented. These measurements are based on data collected with the CMS detector at the CERN LHC between 2022 and 2024, corresponding to an integrated luminosity of $171\,\mathrm{fb}^{-1}$. Cross sections are measured in a fiducial region closely matching the experimental acceptance, both inclusively and differentially, as a function of a range of observables. Dedicated measurements targeting the production of the Higgs boson via vector boson fusion are also performed. The $\mathrm{H}\to\mathrm{ZZ}\to 4\ell$ inclusive fiducial cross section is measured to be $\sigma_\mathrm{fid} = 3.11^{+0.22}_{-0.22}(\mathrm{stat.})^{+0.14}_{-0.12}(\mathrm{syst.})\, \mathrm{fb}$, in agreement with the standard model expectation of $3.05^{+0.17}_{-0.22}\, \mathrm{fb}$.
We present a non-linear $f(R,\Lm)$ extension of General Relativity that possesses the full solution space of General Relativity with a positive cosmological constant $\Lambda$ for matter fields whose on shell Lagrangian satisfies $\Lm = T$, where $T$ is the trace of the stress-energy tensor. The theory belongs to the generalized Entangled Relativity family recently identified in the literature, and retains its Machian property that forbids the existence of vacuum solutions. Remarkably, despite being attracted toward General Relativity with a positive cosmological constant during the cosmological expansion of the Universe, the theory still involves one fewer fundamental parameter than General Relativity with $\Lambda$. Moreover, the dimensionful constant $\Lambda$ is replaced by a dimensionless parameter $\alpha$, from which an effective cosmological constant emerges in the field equations. Since the Universe is not entirely composed of matter fields satisfying $\Lm=T$ on shell---notably due to non-relativistic neutrinos that are such that $\Lm=0\neq T$ on shell---we argue that this framework naturally predicts small deviations from $\Lambda$CDM, potentially relevant for the interpretation of current cosmological tensions. For the same reason, the theory also lifts the degeneracy between different dark matter candidates and therefore can be used to make strong predictions on the dark matter sector.

A search for the standard model production of three top quarks is presented. The data analyzed were collected with the CMS detector at the CERN LHC in proton-proton collisions at a center-of-mass energy of $13~\mathrm{TeV}$ and correspond to an integrated luminosity of $138~\mathrm{fb}^{-1}$. Selected events are required to contain jets and either one lepton (electron or muon), two same-sign charged leptons, or at least three leptons. The results are derived from the combination of these three lepton categories. Novel multivariate techniques are employed to take full advantage of kinematic differences between the studied signal and the major background. This analysis provides the first LHC result specifically targeting three-top-quark production. No significant deviations with respect to the standard model predictions are observed, and an upper limit of $25~\mathrm{fb}$ is set on the signal cross section at $95\%$ confidence level.