We discuss on the possibility that colliding dark matter particles in the form of neutralinos may be gravitationally boosted near the super-massive black hole at the galactic center so that they can have enough collision energy to annihilate into a stau pair. Since in some phenomenologically favored supersymmetric models the mass splitting between the neutralino and the lightest stau, one of the two scalar superpartners of the tau lepton, is a few GeVs, this channel may be allowed. In addition, staus can only decay into a tau lepton and another neutralino. We calculate the gamma-ray spectrum and flux generated by the tau pair discussing the observability of the obtained features.PACS numbers: 95.35.+d, 12.60.Jv, 98.35.Gi Dark matter (DM) accounts for more than 80% of the mass of the Universe but its nature is still one of the open problems in Physics. In a widely accepted theoretical scenario, DM is formed by a weakly interacting massive particle (WIMP) that has been in thermal equilibrium with Standard Model (SM) matter in the early Universe, leaving, after decoupling, the DM relic density as inferred by WMAP [1]. In this light, supersymmetric (SUSY) extensions of the SM provide a natural WIMP candidate. In the minimal supersymmetric standard model (MSSM), R-parity conservation assures that if the lightest supersymmetric particle is the lightest of the four neutralino states-indicated as χ in the following-, this particle is absolutely stable. In a phenomenologically favored scenario of the constrained MSSM (CMSSM), the stau coannihilation region (τ CR ) [2], the lightest stau,τ 1 , one of the scalar super-partners of the tau lepton, is close in mass to the neutralino. In theτ CR parameter space the cross section for non-relativistic annihilation into fermions of the SM, χχ → ff , is typically small and results in a too large relic density. However, including the so-called coannihilation processes [3], as for example χτ 1 ,τ 1τ1 collisions, when the mass splittings of the involved particles are small, one can efficiently enhance the thermally averaged cross section σv , and, consequently, diminish the relic density to the measured value.The standard cosmological model predict that nonrelativistic cold DM particles (v/c ∼ 10 −3 ) cluster into halos [4] that contain baryonic matter. Since DM in the halo follows a certain mass distribution, the two-body annihilation processes can happen at a rate that is proportional to the DM mass density squared. Therefore, the highest chances to detect an observable indirect signal of their existence are attained in a region with high DM density, in particular, in the galactic center (GC). Among * mirco.cannoni@dfa.uhu.es † mario.gomez@dfa.uhu.es ‡ mperezga@usal.es § vergados@uoi.gr the various signatures from DM annihilation, gamma-ray signals have received much attention. A continuum spectrum of secondary photons may arise from hadronization and decay of the annihilation products [5] and from radiation from final state charged particles [6]. Direct annihilation into photon...