  We revisit the rare decays of the Higgs boson to two different quarks in the
Standard Model, 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
GIM mechanism to eliminate spurious contributions and retain those that truly
contribute. We found that Br$(H\to uc)$=$5.00\times10^{-20}$, Br$(H\to
ds)$=$1.19\times10^{-11}$, Br$(H\to db)$=$5.16\times10^{-9}$ and Br$(H\to
sb)$=$1.15\times10^{-7}$. Our predictions for the $H\to uc,ds$ decays disagree
with previous results in the literature.
