Constraints on a Local Group X-ray Halo

A simple model for a hot Local Group halo is constructed, using the standard beta-model for the halo density and by choosing model parameters based on all available observations of X-ray emission in other groups of galaxies and on optical data on Local Group morphology. From the predicted X-ray intensities, total Local Group mass, and central cooling time of the halo, we derive very conservative upper limits on the central halo density N_0 and global temperature T of N_0 = 5e-4 cm-3 and kT = 0.5 keV, irrespective of realistic values of the density profile parameters r_c and beta. A typical poor group value of beta = 0.5 requires kT < 0.15 keV and N_0 < 1e-4 cm-3, from which it is concluded that the Local Group is very unlikely to possess a significant X-ray halo. The prospects for further constraining of halo parameters from UV absorption line observations are considered. We explicitly calculate the ability of the halo to distort the cosmic microwave background (CMB) in terms of the resulting CMB temperature variations and multipole anisotropies.