  To ascertain the new boson with mass near 125 {GeV} observed recently by
ATLAS and CMS Collaborations to be the Standard Model Higgs, and to determine
its intrinsic properties, more measurements on its various decay channels are
still necessary. In this work we reanalyze the processes of the Standard Model
Higgs radiative decays to lepton pairs. We find that when photon and leptons
are hard, that is possessing energies larger than 1 {GeV}, the branching
fractions of $H\rightarrow \ell\bar{\ell}\gamma (\ell=e~or~\mu)$ processes are
about two-thirds of the $H\rightarrow\mu^+\mu^-$ process. Since the lepton-pair
yields of the radiative processes mainly come from the Z-boson conversion,
which will greatly suppress the backgrounds, we believe the signal should be
observable in presently accumulated data or in the next run of the LHC
experiment, provided the Standard Model Higgs is indeed light.
