Single field slow-roll effective potential from Kähler moduli stabilizations in type IIB/F-theory

We derive a single field slow-roll inflaton potential in three intersecting $D7$ branes configuration under type IIB/F-theory compactification. Among three resulting Kähler moduli corresponding to three orthogonal directions, two are stabilized via perturbative corrections in Kähler potential arising from large volume scenario (${\alpha }^{\mathrm{\prime }3}$) and four graviton scattering amplitude upto one loop level and the remaining Kähler modulus is stabilized by KKLT-type non-perturbative correction in superpotential. The symmetric combination of two canonically normalized and perturbatively stabilized Kähler moduli gives the inflaton field and the anti-symmetric combination manifests as an auxiliary field.