Left: distributions of stellar obliquities ψ for hot Jupiters in the moderate-loss numerical simulations. The orange curve corresponds to f_ret = 0, the blue curve to f_ret = 0.5, and the gray curve to f_ret = 1. Right: distributions of obliquities for hot Jupiters in the simulations with f_ret = 0.5. The orange curve corresponds to the low-loss prescription, the blue curve to moderate-loss prescription, and the gray curve to the high-loss prescription.