Searches for double Higgs production or decay using the CMS detector

The production of the pairs of Higgs bosons provides a direct handle on the structure of the Higgs field potential. While the HH production within the SM is very small and essentially out of the experimental reach within the Run I or II, several beyond SM theories foresee an enhancement that can be already probed with the available data. These proceedings detail the searches for double Higgs boson production performed at the Large Hadron Collider with the Compact Muon Solenoid experiment. Both resonant and non-resonant productions are discussed using final states in which one of the two Higgs bosons decay in a pair of b quarks, while the other can decay in pairs of $\tau$, b, W or $\gamma$ particles. Exclusion upper limits are set on the resonant and non-resonant double Higgs boson production cross-sections and on the presence of anomalous couplings affecting the non-resonant production.