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We present a comprehensive catalog and analysis of broad-band afterglowobservations for 103 short-duration gamma-ray bursts (GRBs), comprised of allshort GRBs from November 2004 to March 2015 with prompt follow-up observationsin the X-ray, optical, near-infrared and/or radio bands. These afterglowobservations have uncovered 71 X-ray detections, 30 optical/NIR detections, and4 radio detections. Employing the standard afterglow synchrotron model, weperform joint probability analyses for a subset of 38 short GRBs withwell-sampled light curves to infer the burst isotropic-equivalent energies andcircumburst densities. For this subset, we find median isotropic-equivalentgamma-ray and kinetic energies of E_gamma,iso~2x10^51 erg, andE_K,iso~(1-3)x10^51 erg, respectively, depending on the values of the modelinput parameters. We further find that short GRBs occur in low-densityenvironments, with a median density of n~(3-15)x10^-3 cm^-3, and that ~80-95%of bursts have densities of less than 1 cm^-3. We investigate trends betweenthe circumburst densities and host galaxy properties, and find that eventslocated at large projected offsets of >10 effective radii from their hostsexhibit particularly low densities of n<10^-4 cm^-3, consistent with anIGM-like environment. Using late-time afterglow data for 11 events, we find amedian jet opening angle of theta_jet=16+/-10 deg. We also calculate a medianbeaming factor of f_b~0.04, leading to a beaming-corrected total energy releaseof E_true~1.6x10^50 erg. Furthermore, we calculate a beaming-corrected eventrate of R_true=270 (+1580,-180) Gpc^-3 yr^-1, or ~8 (+47,-5) yr^-1 within a 200Mpc volume, the Advanced LIGO/Virgo typical detection distance for NS-NSbinaries.

A Decade of Short-duration Gamma-ray Burst Broad-band Afterglows: Energetics, Circumburst Densities, and Jet Opening Angles