  The properties of the effective scalar potential are studied in the framework
of type IIB string theory, taking into account perturbative and
non-perturbative corrections. The former modify the K\"ahler potential and
include $\alpha'$ and logarithmic corrections generated when intersecting D7
branes are part of the internal geometric configuration. The latter add
exponentially suppressed K\"ahler moduli dependent terms to the fluxed
superpotential. The possibility of partial elimination of such terms which may
happen for particular choices of world fluxes is also taken into account. That
being the case, a simple set up of three K\"ahler moduli is considered in the
large volume regime, where only one of them is assumed to induce
non-perturbative corrections. It is found that the shape of the F-term
potential crucially depends on the parametric space associated with the
perturbative sector and the volume modulus. De Sitter vacua can be obtained by
implementing one of the standard mechanisms, i.e., either relying on D-terms
related to $U(1)$ symmetries associated with the $D7$ branes, or introducing
$\overline{D3}$ branes. In general it is observed that the combined effects of
non-perturbative dynamics and the recently introduced logarithmic corrections
lead to an effective scalar potential displaying interesting cosmological and
phenomenological properties.
