  We study the statistical properties of a non-Markovian chiral run-and-tumble
particle (CRTP) in two dimensions in continuous space and time. In our model,
the possible orientations of the particle correspond to the four cardinal
directions. The particle can reorient by turning left, right or reversing its
direction of motion at different rates. We show how chirality manifests itself
in the transport properties like the spatial moments of the marginal position
distribution and the first-passage properties of a CRTP. Interestingly, we find
that the chirality leads to enhanced diffusion and a \textit{looping} tendency
in the trajectory space. Furthermore, our results show that chirality plays a
pivotal role in the improvement of the search strategy -- notably, there exists
an optimal bias in tumbling that minimizes the mean search time. This key
observation can play a crucial role in determining how living systems
efficiently search under non-equilibrium conditions.
