Precision Higgs physics at the CEPC

The discovery of the Higgs bosonwith its mass around 125 GeV by the ATLAS and CMS Collaborations marked the beginning of a new era in high energy physics. The Higgs bosonwill be the subject of extensive studies of the ongoing LHC program. At the same time, lepton colliderbased Higgs factorieshave been proposed as a possible next step beyond the LHC, with its main goal to precisely measure the properties of the Higgs bosonand probe potential new physics associated with the Higgs boson. The Circular Electron Positron Collider~(CEPC) is one of such proposed Higgs factories. The CEPC is an $e^+e^-$ circular colliderproposed by and to be hosted in China. Located in a tunnel of approximately 100~km in circumference, it will operate at a center-of-mass energy of 240~GeV as the Higgs factory. In this paper, we present the first estimates on the precision of the Higgs bosonproperty measurements achievable at the CEPC and discuss implications of these measurements.