The faint voice of a radio-weak BL Lacertae: modeling the broadband emission of WISE~J141046.00+740511.2

Abstract

The WISE source, J141046.00+740511.2, has been recently observed from radio to $\gamma$ rays. Although the optical spectrum is consistent with a BL Lacertae (BL Lac) object, the source displays unusually weak radio emission, which challenges standard interpretations. Our aim is to understand the origin of the broadband emission from J141046.00+740511.2, using a leptonic model of an extended jet. To obtain the distribution of electrons along the conical jet, we solved a steady-state convective transport equation. Emissivities were computed along the jet and integrated over the cone volume to obtain the observed flux. Our model successfully reproduces the observed multiwavelength spectral energy distribution from radio to $\gamma$ rays and naturally accounts for the source's low radio flux without invoking extra emission zones. We also reproduce the mid-IR emission within the same framework. These results demonstrate that extended jet leptonic models can robustly describe the broadband physics of radio-weak BL Lacs.