  The side jump in the anomalous Lorentz transformation, arising from the
spin-orbit interactions, plays important roles in various intriguing physics,
such as chiral vortical effects and spin polarization. In this work, the side
jump of the spin-half massive particles, which has rarely been discussed, is
visualized and evaluated for the first time. A compact analytical expression
describing such side jumps is derived, and found approaching the one describing
the chiral fermions in the massless limit. It is further demonstrated that the
covariance of the total angular momentum, which would be broken by a normal
Lorentz transformation, is restored after the obtained side jumps are taken
into account.
