Left: Upper bounds at 95% confidence on the DM thermally averaged cross-section ⟨σ_annv⟩ of HIGH clumping case for the τ⁺τ⁻ state, compared to constraints from local probes. This includes results from neutrino detectors such as IceCube (Abbasi et al. 2023) and combined results from ANTARES and IceCube (Albert et al. 2020); the gamma-ray telescope H.E.S.S. (Abdallah et al. 2016), combined results from Fermi-LAT and MAGIC (MAGIC Collaboration 2016); and the red dotted lines represent thermal relic cross-section. Right: Upper bounds on the DM decay rate Γ_dec for the τ⁺τ⁻ state, compared to limits from IceCube (Aartsen et al. 2018) for neutrino surveys, HAWC (Albert et al. 2018) and searches of cosmic rays and the interstellar medium with Fermi-LAT (Ackermann et al. 2012) from gamma-ray telescopes. The cosmological constraints from this work (black solid lines) and work from Paopiamsap et al. (2024) (black dashed lines) are also shown. GC: Galactic centre; dSph: dwarf spheroidal galaxies; Cosmo: cosmological probe.