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We investigate with relativistic MHD simulations the dissipation physics ofBL Lac jets, by studying the synchrotron polarization signatures of particlesaccelerated by the kink instability in a magnetically-dominated plasma column.The nonlinear stage of the kink instability generates current sheets, whereparticles can be efficiently accelerated via magnetic reconnection. We identifycurrent sheets as regions where s = J d/B is above some predefined threshold(where B is the field strength, J the current density and d the grid scale),and assume that the particle injection efficiency scales as proportional to thesquare of the current. X-ray emitting particles have short cooling times, sothey only probe the field geometry of their injection sites. In contrast,particles emitting in the optical band, which we follow self-consistently asthey propagate away from their injection sites while cooling, sample a largervolume, and so they may be expected to produce different polarimetricsignatures. We find that the degree of polarization is roughly the same betweenX-ray and optical bands, because even the optical-emitting particles do nottravel far from the current sheet where they were injected, due to lack ofsufficient kink-generated turbulence. The polarization angle shows a differenttemporal evolution between the two bands, due to the different regions probedby X-ray and optical emitting particles. In view of the upcoming IXPEsatellite, our results can help constrain whether kink-induced reconnection (asopposed to shocks) can be the source of multi-wavelength emission from BL Lacs.

Kink-driven magnetic reconnection in relativistic jets: consequences for X-ray polarimetry of BL Lacs