  We study transport properties of a quantum dot coupled to a Majorana zero
mode and two normal leads. We investigate the full counting statistics of
charge tunneling events which allows one to extract complete information about
current fluctuations. Using a Keldysh path-integral approach, we compute the
cumulant generating function. We first consider a noninteracting spinless
regime, and find that for the symmetric dot-lead couplings, the zero-frequency
cumulants exhibit a universal pattern of Euler numbers, independent of the
microscopic parameters. For a spinful case, the Coulomb interaction effects are
discussed for both strong interaction (single-electron occupancy regime) and
weak interactions (perturbative regime). Compared to the case without Majorana
coupling, we show that, while the tunneling conductance might exhibit zero-bias
anomaly, the full counting statistics is qualitatively different in the
presence of the Majorana coupling.
