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Extra-galactic X-ray absorption and optical extinction are often found ingamma-ray burst (GRB) afterglows and they could be tracers of both circumburstand host galaxy environments. By performing spectral analyses for spectralenergy distribution of 9 short GRB (SGRB) afterglows with known redshift, weinvestigated a ratio of the equivalent hydrogen column density to the dustextinction, N^{rest}_{H}/A^{rest}_{V}, in the rest frame of each SGRB. We foundthat the distribution of N^{rest}_{H}/A^{rest}_{V} is systematically smallerthan the one for long GRBs, and is roughly consistent with the gas-to-dustratio in the Milky Way. This result means that the measured gas-to-dust ratioof SGRBs would originate from the interstellar medium in each host galaxy. Thisscenario supports the prediction that SGRBs occur in non star-forming regionsin the host galaxies.

Systematic study for gas-to-dust ratio of short gamma-ray burst afterglows