  The results of a search for a standard model-like Higgs boson in the mass
range between 70 and 110 GeV decaying into two photons are presented. The
analysis uses the data set collected with the CMS experiment in proton-proton
collisions during the 2012 and 2016 LHC running periods. The data sample
corresponds to an integrated luminosity of 19.7 (35.9) fb$^{-1}$ at $\sqrt{s}
=$8 (13) TeV. The expected and observed 95% confidence level upper limits on
the product of the cross section and branching fraction into two photons are
presented. The observed upper limit for the 2012 (2016) data set ranges from
129 (161) fb to 31 (26) fb. The statistical combination of the results from the
analyses of the two data sets in the common mass range between 80 and 110 GeV
yields an upper limit on the product of the cross section and branching
fraction, normalized to that for a standard model-like Higgs boson, ranging
from 0.7 to 0.2, with two notable exceptions: one in the region around the Z
boson peak, where the limit rises to 1.1, which may be due to the presence of
Drell-Yan dielectron production where electrons could be misidentified as
isolated photons, and a second due to an observed excess with respect to the
standard model prediction, which is maximal for a mass hypothesis of 95.3 GeV
with a local (global) significance of 2.8 (1.3) standard deviations.
