Dark sector and Light New Physics searches in BaBar

We use the sample of e+e− collisions recorded by the BaBar detector at PEP-II at the SLAC National Laboratory to search for a light Higgs boson decaying to charm, for a long-lived particle that decays into an oppositely charged fermion pair, and for a dark-sector vector boson coupling only to the second and third generations of leptons. We find no evidence for any of these signals, and we report appropriate upper limits to provide constraints for several New Physics models.