Inflation with improved D3-brane potential and the fine tunings associated with the model

We revisit our earlier investigations of the brane-antibrane inflation in a warped deformed conifold background, reported in Phys. Lett. B 674, 131 (2009), where now we include the contributions to the inflation potential arising from imaginary anti-self-dual (IASD) fluxes including the term with irrational scaling dimension discovered recently in arXiv:0912.4268 and arXiv:1001.5028. We observe that these corrections to the effective potential help in relaxing the severe fine tunings associated with the earlier analysis. Required number of e-folds, observational constraint on COBE normalization and low value of the tensor to scalar ratio are achieved which is consistent with WMAP seven years data.