Revisiting the rare H → q i q j decays in the standard model

Abstract

We revisit the rare decays of the Higgs boson to two different quarks in the standard model (SM), which arise at the one-loop level. We perform Taylor series expansions to the complete form factors of the decay amplitudes, according to their different mass hierarchies, this allow us to take full advantage of the Glashow–Iliopoulos–Maiani (GIM) mechanism to eliminate spurious contributions and retain those that truly contribute. We found that Br(H → uc) = 5.00 × 10−20, Br(H → ds) = 1.19 × 10−11, Br(H → db) = 5.16 × 10−9 and Br(H → sb) = 1.15 × 10−7. Our predictions for the H → uc, ds decays disagree with previous results in the literature.