Long-period Jovian Tilts the Orbits of Two sub-Neptunes Relative to Stellar Spin Axis in Kepler-129

We present the discovery of Kepler-129 d ($P_{d}=7.2^{+0.4}_{-0.3}$ yr, $m\sin i_{d}=8.3^{+1.1}_{-0.7}\ \rm M_{Jup}$, $ e_{d}=0.15^{+0.07}_{-0.05} $) based on six years radial velocity (RV) observations from Keck/HIRES. also hosts two transiting sub-Neptunes: b ($P_{b}=15.79$ days, $r_{b}=2.40\pm{0.04}\ \rm{R_{\oplus}}$) and c ($P_{c}=82.20$ $r_{c}=2.52\pm{0.07}\ for which we measure masses $m_{b}<20\ \rm{M_{\oplus}}$ $m_{c}=43^{+13}_{-12}\ \rm{M_{\oplus}}$. is an hierarchical system consisting tightly-packed inner planets external companion whose mass close to deuterium burning limit. In such a system, precess around orbital normal outer companion, causing their inclinations oscillate with time. Based asteroseismic analysis Kepler data, find tentative evidence that are misaligned stellar spin axis by $\gtrsim 38$ deg, could be torqued if it inclined 19$ deg relative planets. Using N-body simulations, provide additional constraints mutual inclination between estimating fraction time during both transit. The probability transit decreases as misalignment increases. more massive enables become strongly coupled resistant perturbations d. unusually high provides valuable benchmark planetary dynamics interior structure, since best-fit consistent this $\rm{2.5\ R_{\oplus}}$ planet having rocky surface.