Mean SED of Sgr A^⋆ during the flare as in Fig. 4, including the best-fit synchrotron models. The black dashed line shows the best-fit PLCool model (synchrotron with cooling break model with no high-energy cutoff). This model is ruled out because it cannot fit the difference in X-ray vs. IR spectral slopes due to the X-ray vs. IR flux ratio. The dashed-dotted black lines shows the best fit PLCoolγ_maxsharp model (synchrotron with cooling break plus a sharp γ_max cutoff). The line cuts off too sharply in the X-ray and fails to reproduce the high-energy NuSTAR data. The dark red line shows the best-fit PLCoolγ_max model (synchrotron with cooling break plus an exponential high energy cutoff). For this model, the SSC component, which peaks at ν ∼ 10²³ Hz, is also computed (not shown here, see Fig. A.1).