  A unified formulation of one-loop tensor integrals is proposed for
systematical calculations of finite volume corrections. It is shown that
decomposition of the one-loop tensor integrals into a series of tensors
accompanied by tensor coefficients is feasible, if a unit space-like four
vector $n^\mu$, originating from the discretization effects at finite volume,
is introduced. A generic formula has been derived for numerical computations of
all the involved tensor coefficients. For the vanishing external three-momenta,
we also investigate the feasibility of the conventional Passarino-Veltmann
reduction of the tensor integrals in a finite volume. Our formulation can be
easily used to realize the automation of the calculations of finite volume
corrections to any interesting quantities at one-loop level. Besides, it
provides finite volume result in a unique and concise form, which is suited
for, e.g., carrying out precision determination of physical observable from
modern lattice QCD data.

High Energy Physics - Phenomenology;High Energy Physics - Lattice;High Energy Physics - Theory