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We investigate the low energy phenomenology of the lighter pseudoscalar$A_1^0$ in the NMSSM. The $A_1^0$ mass can naturally be small due to a global$U(1)_R$ symmetry of the Higgs potential, which is only broken by trilinearsoft terms. The $A_1^0$ mass is further protected from renormalization groupeffects in the large $\tan \beta$ limit. We calculate the $b \to s A_1^0$amplitude at leading order in $\tan \beta$ and work out the contributions torare $K$, $B$ and radiative $\Upsilon$-decays and $B -\bar B$ mixing. We obtainconstraints on the $A_1^0$ mass and couplings and show that masses down to${\cal{O}}(10)$ MeV are allowed. The $b$-physics phenomenology of the NMSSMdiffers from the MSSM in the appearance of sizeable renormalization effectsfrom neutral Higgses to the photon and gluon dipole operators and the breakdownof the MSSM correlation between the $B_s \to \mu^+ \mu^-$ branching ratio and$B_s - \bar B_s$ mixing. For $A_1^0$ masses above the tau threshold the $A_1^0$can be searched for in $b \to s \tau^+ \tau^-$ processes with branching ratios$\lsim 10^{-3}$.Comment: 18 pages, 3 figures; references adde

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

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b-physics signals of the lightestCP-odd Higgs boson in the next-to-minimal supersymmetric standard model at largetanβ