The results of a multi-lepton search conducted by the CMS collaboration with 5 fb of data collected from 7 TeV collisions are used to place the first bound on the rare flavor-changing decay of the top quark to a Higgs boson and charm quark. Combining results from a number of exclusive three- and four-lepton search channels yields an estimated upper limit of ${\rm Br}(t \to ch) < 2.7%$ for a Higgs boson mass of 125 GeV. The sensitivity of future dedicated searches for could be improved by adding exclusive same sign di-lepton channels, as well as by sub-dividing channels based on -quark tagging and partial kinematic top quark and Higgs boson tagging. This bound may be interpreted more widely within a range of new physics processes that yield final states with a -boson in association with a Higgs boson. For such processes with kinematics that are similar to top–anti-top production and decay, the estimated limit on cross section times branching ratio corresponds to roughly pb.

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