TeV $\gamma$-radiation from Dark Matter annihilation in the Galactic center

Abstract

Recent observations of the Galactic center with ground based gamma-ray instruments have revealed a TeV (10${}^{12}$ eV) gamma-ray signal consistent with the position of Sgr A*. The derived luminosity of the signal above 1 TeV is a few $10^{34}\mathrm{erg}{\mathrm{s}}^{-1}$ which is slightly more than e.g. the gamma-ray luminosity of the Crab nebula and a plausible identification could be a conventional albeit strong gamma-ray source. The observations with the H.E.S.S. system of Cherenkov telescopes have decreased the solid angle subtended by the error box by more than a factor of hundred with respect to the previous observations of the VERITAS and CANGAROO groups. After studying the observed energy spectrum and angular distribution of the excess as seen by the H.E.S.S. experiment, a massive Dark Matter candidate with a minimum mass of 12 TeV (90 % c.l.) and an upper limit on the WIMP density for $r<10$ pc of $1261M_{\odot }{\mathrm{pc}}^{-3}\times (<\sigma v>/3\cdot 10^{-26}{\mathrm{cm}}^3{\mathrm{s}}^{-1}{)}^{-1/2}$ is required to explain the observed flux by an annihilation signal. The angular distribution of the excess events is consistent with a cuspy profile with $\rho (r)\propto r^{-\alpha }$ with $\alpha >1.0$ at a confidence level of 90 %. Even though the mass and the cross section of the Dark Matter constituents are unexpectedly high in the framework of most models of nonbaryonic Dark Matter, it can not be ruled out.

14 pages, 4 figures, submitted to Phys. Letters B, Figure 1 was wrongly included, References updated to match Journal's style

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