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Jets powered by high-mass X-ray binaries must traverse the powerful wind ofthe companion star. We present the first global 3D simulations of jet-windinteraction in high-mass X-ray binaries. We show that the wind momentum fluxintercepted by the jet can lead to significant bending of the jet and that jetspropagating through a spherical wind will be bent to an asymptotic angle$\psi_{\infty}$. We derive simple expressions for $\psi_{\infty}$ as a functionof jet power and wind thrust. For known wind parameters, measurements of$\psi_{\infty}$ can be used to constrain the jet power. In the case of CygnusX-1, the lack of jet precession as a function of orbital phase observed by theVLBA can be used to put a lower limit on the jet power of $L_{\rm jet} \gtrsim10^{36}\,{\rm ergs\,s^{-1}}$. We further discuss the case where the initial jetis inclined relative to the binary orbital axis. We also analyze the case ofCygnus X-3 and show that jet bending is likely negligible unless the jet issignificantly less powerful or much wider than currently thought. Our numericalinvestigation is limited to isotropic stellar winds. We discuss the possibleeffect of wind clumping on jet-wind interaction, which are likely significant,but argue that our limits on jet power for Cygnus X-1 are likely unaffected byclumping unless the global wind mass loss rate is orders of magnitude below thecommonly assumed range for Cyg X-1.

Global Simulations of the Interaction of Microquasar Jets with a Stellar Wind in High-Mass X-ray Binaries