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[en] CP-violating interactions of the Higgs boson and gluons are studied in the limit of vanishing light-quark Yukawa couplings. Here, the contributions of gluonic interactions to the neutron electric dipole moment are calculated with the help of sum-rule techniques in QCD. Moreover, baryon-number-violating interactions are examined that lead to proton decay signatures with a graviton in the final state. The relevant hadronic matrix elements are calculated by means of light-cone sum rules.