Abstract: A search for the standard model Higgs boson decaying to a charm quark-antiquark pair, H -> c¯c, produced in association with a top quark-antiquark pair (t¯tH) is presented. The search is performed with data from proton-proton collisions at V¯ s= 13 TeV, corresponding to an integrated luminosity of 138 fb-1. Advanced machine learning techniques are employed for jet flavor identification and evento classification. The Higgs boson decay to a bottom quark-antiquark pair is measured simultaneously and the observed t¯tH(H -> b¯b) event rate relative to the standard model expectation is 0.91+0.26 -0.22 . The observed (expected) upper limit on the product of production cross section and branching fraction ?(t¯tH)B(H -> c¯c) is 0.11 (0.13) pb at 95% confidence level, corresponding to 7.8 (8.7) times the standard model prediction. When combined with the previous search for H -> c¯c via associated production with a W or Z boson, the observed (expected) 95% confidence interval on the Higgs-charm Yukawa coupling modifier, kc, is jkc] < 3.5 (2.7), the most stringent constraint to date.

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