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The formation of Black Hole (BH) Low-Mass X-ray Binaries (LMXB) poses atheoretical challenge, as low-mass companions are not expected to survive thecommon-envelope scenario with the BH progenitor. Here we propose a formationmechanism that skips the common-envelope scenario and relies on triple-bodydynamics. We study the evolution of hierarchical triples, following the seculardynamical evolution up to the octupole-level of approximation, includinggeneral relativity, tidal effects and post-main-sequence evolution, such asmass loss, changes to stellar radii and supernovae. During the dynamicalevolution of the triple system, the "eccentric Kozai-Lidov" mechanism can causelarge eccentricity excitations in the LMXB progenitor, resulting in three mainBH-LMXB formation channels. Here we define BH-LMXB candidates as systems wherethe inner BH companion star crosses its Roche limit. In the "eccentric" channel(~ 81% of the LMXBs in our simulations), the donor star crosses its Roche limitduring an extreme eccentricity excitation, while still on a wide orbit. Second,we find a "giant" LMXB channel (~ 11%), where a system undergoes only moderateeccentricity excitations, but the donor star fills its Roche lobe afterevolving toward the giant branch. Third, we identify a "classical" channel(~8%), where tidal forces and magnetic braking shrink and circularize the orbitto short periods, triggering mass transfer. Finally, for the giant channel, wepredict an eccentric ($\sim 0.3-0.6$), preferably inclined (~40, ~140 degreed)tertiary, typically on a wide enough orbit (~10^4AU), to potentially becomeunbound later in the triple evolution.

Formation of Black Hole Low-Mass X-ray Binaries in Hierarchical Triple Systems