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Despite its great success in describing the world of elementary particles, the Standard Model (SM) fails to explain various phenomena: It does not include gravity, it accommodates neither neutrino masses nor dark matter, and it predicts a miniscule baryon asymmetry. These shortcomings indicate that the SM is not a complete theory of nature - suggesting the necessity of its extension and the existence of new physics, beyond the SM (BSM).
The many searches for BSM scenarios, particularly in the general-purpose experiments at the Large Hadron Collider (LHC), ATLAS and CMS, have not shown to date deviations from the SM predictions. Did we really fully exploit the LHC data? Could we be missing a discovery? In this talk, I will discuss some of the actions we take to minimize this risk.