  A search is described for a Higgs boson decaying into two photons, one of
which has an internal conversion to a muon or an electron pair (ll gamma). The
analysis is performed using proton-proton collision data recorded with the CMS
detector at the LHC at a centre-of-mass energy of 8 TeV, corresponding to an
integrated luminosity of 19.7 inverse femtobarns. The events selected have an
opposite-sign muon or electron pair and a high transverse momentum photon. No
excess above background has been found in the three-body invariant mass range
120 < m[ll gamma] < 150 GeV, and limits have been derived for the Higgs boson
production cross section times branching fraction for the decay H to gamma*
gamma to ll gamma, where the dilepton invariant mass is less than 20 GeV. For a
Higgs boson with m[H] = 125 GeV, a 95% confidence level (CL) exclusion observed
(expected) limit is 6.7 (5.9 +2.8/-1.8) times the standard model prediction.
Additionally, an upper limit at 95% CL on the branching fraction of H to J/Psi
gamma for the 125 GeV Higgs boson is set at 1.5E-3.
