Hints for an additional Higgs boson with a mass of about 95 GeV originate
from LEP and searches in the diphoton channel by CMS and ATLAS. A search for
resonant production of SM plus BSM Higgs bosons in the diphoton plus bb channel
by CMS showed some excess for a 650 GeV resonance decaying into the SM Higgs
plus a 95 GeV Higgs boson. We investigate whether these phenomena can be
interpreted simultaneously within the NMSSM subject to the latest constraints
on couplings of the SM Higgs boson, on extra Higgs bosons from the LHC, and on
dark matter direct detection cross sections.Comment: 14 pages, 12 Figure