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We present a calculation of the Higgs boson decay into a quarkonium plus a photon and show that the branching ratio is sensitive to both the magnitude and sign of the Higgs-heavy quark coupling. Our numerical results include relativistic corrections, as well as logarithms of the Higgs mass divided by the heavy quark mass resummed to all orders in $\alpha_s$, which is carried out in the next-to-leading logarithmic accuracy. The resulting branching ratio shows that the Higgs-charm coupling should be measurable at the high-luminosity LHC.

Measuring the Higgs-charm coupling with heavy quarkonia