Higgs and precision physics at CMS

Since the discovery of the Higgs boson in 2012, significant progress has been made in measuring several properties related to the Higgs boson. The large dataset available now facilitates precise measurements of the Higgs boson mass, natural width, couplings, production cross sections, and even differential and fiducial cross sections. The latest precision measurements performed by the CMS experiment in the Higgs sector are presented in this note.