In this work we study the production of gamma rays in the annihilation of dark matter with a $(1,0)\oplus (0,1)$ space-time structure (SODM) and compare our results with data from several experiments. We calculate the production of prompt photons from initial state radiation, internal bremsstrahlung and final state radiation, including emission from the decay products of $\mu,\tau$ pr hadronization of quarks. Additionally, we study the delayed photon emission from inverse Compton scatteric of electrons with the cosmic microwave background or starlight. These mechanisms yield significant contributions to the gamma ray excess (GRE) at the galactic center only for Higgs resonant exchange, and the results depend on the Higgs scalar coupling to SODM, $g_s$ and the mass of the dark matter field, $M$. Taking into account all these contributions, we find consistency with the GRE and dark matter relic density, as well as with upper limits on indirect and direct detection for annihilation into $\bar{b}b$, $\tau^+ \tau^-$, $\mu^+ \mu^-$ and $\gamma \gamma$ at the Higgs resonance, for $g_s\in [0.98,1.01]\times 10^{-3}$ and $M\in [62.470,62.505] \text{ GeV}$.

In this work we study the production of gamma rays in the annihilation of dark matter with a $(1,0)\oplus (0,1)$ space-time structure (SODM). We find consistency with the gamma ray excess at the galactic center and dark matter relic density, as well as with upper limits on indirect and direct detection for annihilation into $\bar{b}b$, $\tau^+ \tau^-$, $\mu^+ \mu^-$ and $\gamma \gamma$ at the Higgs resonance, for $g_s\in [0.98,1.01]\times 10^{-3}$ and $M\in [62.470,62.505] \text{ GeV}$.

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