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  1. The question of naturalness of the Standard Model (SM) has been a hot topic since the discovery that the Higgs boson has a relatively light mass. It has been pointed out in the past that the mass of a scalar boson can be destabilized by loop corrections. Many theories have been proposed beyond the SM to address this problem. It is possible that such mechanisms contribute to the running of the Higgs mass with the energy scale. We present predictions for the precision of the Higgs mass measurement up to a Higgs boson transverse momentum of 1 TeV for the LHC in Run 3 with a luminosity of 300 fb-1, and the high luminosity LHC with a luminosity of 3000 fb-1. Predictions are generated with MadGraph5, Pythia8 and Delphes based on the CMS detector resolution. 
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