Reinforcing the no-lose theorem for NMSSM Higgs discovery at the LHC

We show the potential of the LHC to detect a CP-even Higgs boson of the NMSSM, $h_1$ or $h_2$, decaying into two rather light CP-odd Higgs bosons, $a_1$, by exploiting the production mode based on Higgs-strahlung off $b$-quarks, i.e., the channel $pp\to b\bar{b}{h}_{1,2}$. We also consider the case of $h_2\to h_1{h}_1$ decays. It is found that these decays have dominant BRs over large regions of the NMSSM parameter space where tan$\beta$ is large, a condition which also favours the $pp\to b\bar{b}{h}_{1,2}$ production rates. Further decays of the light Higgs boson pairs ($a_1$ and $h_1$) into photon, muon, tau and $b$ final states are also considered. The overall production and decay rates for these processes at inclusive level are sizable and should help extracting at least one Higgs boson signal over the NMSSM parameter space.