Probing flavor nonuniversal theories through Higgs physics at the LHC and future colliders

We explored the possibility that Higgs coupling to new physics violates flavor universality. In particular, we parametrize such models with dimension-six effective operators which modify the coupling between the first generation quarks, Higgs boson, and $Z$ boson. Through the use of boosted Higgsstrahlung events at both the HL-LHC and potential future hadron colliders, as well as existing ATLAS data for background estimates, we projected constraints on the scale of new physics as a function of the Wilson coefficient. The high energy $Zh$ process will provide unique information about these class of operators, and the sensitivity is competitive with the LEP electroweak precision measurements. We include different scenarios of the overall systematic uncertainties and the PDF uncertainties when presenting the projected sensitivities. We also discuss the constraints from flavor changing neutral currents to these flavor-violating models and the complementarity of the exotic Higgs decay to the $Zh$ process.