## TeV {gamma}-rays and the largest masses and annihilation cross sections of neutralino dark matter

Motivated by the interpretation of the recent results on the TeV gamma radiation from the galactic center, including the new 2004 HESS data, as a by-product of dark matter particles annihilations, we address the question of the largest possible neutralino masses and pair-annihilation cross sections in supersymmetric models. Extending the parameter space of minimal models, such as the mSUGRA and the mAMSB scenarios, to general soft supersymmetry (SUSY) breaking Higgs masses gives access to the largest possible pair annihilation rates, corresponding to resonantly annihilating neutralinos with maximal gaugino-Higgsino mixing. Adopting a model-independent approach, we provide analytical and numerical upper limitsmore »