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We investigate the afterglow of GRB 140713A, a gamma-ray burst (GRB) that wasdetected and relatively well-sampled at X-ray and radio wavelengths, but wasnot present at optical and near-infrared wavelengths, despite searches to deeplimits. We present the emission spectrum of the likely host galaxy at $z =0.935$ ruling out a high-redshift explanation for the absence of the opticalflux detection. Modelling the GRB multi-wavelength afterglow using theradiative transfer hydrodynamics code BOXFIT provides constraints on physicalparameters of the GRB jet and its environment, for instance a relatively widejet opening angle and an electron energy distribution slope $p$ below 2. Mostimportantly, the model predicts an optical flux about two orders of magnitudeabove the observed limits. We calculated that the required host extinction toexplain the observed limits in the $r$, $i$ and $z$ bands was $A^{\rm host}_{V}> 3.2$ mag, equivalent to $E(B-V)^{\rm host} > 1.0$ mag. From the X-rayabsorption we derive that the GRB host extinction is $A^{\rm host}_{\rm V} =11.6^{+7.5}_{-5.3}$ mag, equivalent to $E(B-V)^{\rm host} = 3.7^{+2.4}_{-1.7}$mag, which is consistent with the extinction required from our BOXFIT derivedfluxes. We conclude that the origin of the optical darkness is a high level ofextinction in the line of sight to the GRB, most likely within the GRB hostgalaxy.

Detailed multi-wavelength modelling of the dark GRB 140713A and its host galaxy