  The NLO corrections to the DIS structure functions $F_2$ and $F_L$ (or
equivalently the photon-target cross sections $\sigma^{\gamma^*}_{T}$ and
$\sigma^{\gamma^*}_{L}$) at low $x_{Bj}$ are obtained, as a generalization of
the dipole factorization formula. For the first time, the contributions of both
the $q\bar{q}$ and the $q\bar{q}g$ Fock states in the photon are directly
calculated, using earlier results for the $q\bar{q}$ light-front wave-functions
at one loop inside a dressed virtual photon. Both the $q\bar{q}$ and the
$q\bar{q}g$ contributions have UV divergences, which are shown to cancel each
other, using conventional dimensional regularization as UV regulator. Finally,
the resummation of high-energy logarithms on top of the NLO results for
$\sigma^{\gamma^*}_{T}$ and $\sigma^{\gamma^*}_{L}$ is discussed.
