  In this work, we investigate the effects of chirality, accounting for
translational diffusion, on active Brownian particles in two and three
dimensions. Despite the inherent complexity in solving the Fokker-Planck
equation, we demonstrate a Laplace transform method for precisely calculating
the temporal evolution of various dynamic moments. Our analysis yields explicit
expressions for multiple moments, such as the second and fourth moments of
displacement, revealing the impact of persistence and chirality. These moments
exhibit oscillatory behaviour, and excess kurtosis indicates deviations from
the Gaussian distribution during intermediate time intervals.
