This study explores a minimal renormalizable dark matter (DM) model,
incorporating a sub-GeV Majorana DM and a singlet scalar particle ϕ. Using
scalar and pseudo-scalar interactions (couplings cs and cp), we
investigate implications for DM detection, considering s-wave, p-wave, and
combined (s+p wave) contributions in DM annihilation cross-section, as well
as loop-correction contributions to DM-nucleon elastic scattering. Identifying
a broad parameter space (10MeV<mχ≲mϕ) within the
2σ allowed region, we explore scenarios (∣cs∣≫∣cp∣, ∣cs∣≪∣cp∣, and
∣cs∣≈∣cp∣). We find that (i) a non-zero
pseudo-scalar coupling alleviates direct detection constraints as a comparison
with the previous pure scalar coupling case; (ii) CMB observations set
stringent limits on pseudo-scalar interaction dominant cases, making s-wave
annihilation viable only for mχ>1GeV; (iii) the preferred
ϕ-resonance region can be tested in the future indirect detection
experiments, such as e-ASTROGAM.Comment: 35 pages, 4 figur