Revisiting the limits on dark matter annihilation cross-section and decay lifetime in light of electron and positron fluxes

We revisit the upper bound on the annihilation cross-section, $⟨\sigma v⟩$ of a stable dark matter (DM) of mass $5\times {10}^2-{10}^{14}$ GeV by considering five different channels: $W^{+}{W}^{-}$, $b\bar{b}$, ${\mu }^{+}{\mu }^{-}$, ${\tau }^{+}{\tau }^{-}$, and $e^{+}{e}^{-}$. We use the observed electron and positron fluxes from CALET, DAMPE, HESS, positron flux from AMS-02, and gamma-ray flux from HAWC, GRAPES-3, CASA-MIA to constrain the annihilation cross-section. We also consider unstable DM of mass ${10}^3-{10}^{16}$~GeV decaying to $W^{+}{W}^{-}$, $b\bar{b}$, ${\mu }^{+}{\mu }^{-}$, ${\tau }^{+}{\tau }^{-}$, and $e^{+}{e}^{-}$ and derive the corresponding lower bound on the DM lifetime, ${\tau }_{\mathrm{D}\mathrm{M}}$. We find that the latest data from CALET gives a stringent constraint on $⟨\sigma v⟩$ in the low DM mass regime. For a typical DM mass of 1 TeV, we show that $⟨\sigma v{⟩}_{\mathrm{D}\mathrm{M}\mathrm{D}\mathrm{M}\to {\mu }^{+}{\mu }^{-}}\gtrsim \mathcal{O}({10}^{-24})\mathrm{c}{\mathrm{m}}^3\mathrm{/}\mathrm{s}$ is disfavored. On the other hand in the low mass regime, the AMS-02 gives a much stringent limit on the DM lifetime, excluding ${\tau }_{\mathrm{D}\mathrm{M}\to {\mu }^{+}{\mu }^{-}}\lesssim \mathcal{O}({10}^{27})$ s for a 1 TeV mass of DM. In the high mass regime, typically $M_{\mathrm{D}\mathrm{M}}\gtrsim \mathcal{O}({10}^5)$ GeV, HAWC and CASA-MIA give the strongest constraints on $⟨\sigma v⟩$ and ${\tau }_{\mathrm{D}\mathrm{M}}$.