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We apply the integrated perturbation theory (Matsubara 2011, PRD 83, 083518)to evaluate the scale-dependent bias in the presence of primordialnon-Gaussianity. The integrated perturbation theory is a general framework ofnonlinear perturbation theory, in which a broad class of bias models can beincorporated into perturbative evaluations of biased power spectrum andhigher-order polyspectra. Approximations such as the high-peak limit or thepeak-background split are not necessary to derive the scale-dependent bias inthis framework. Applying the halo approach, previously known formulas arere-derived as limiting cases of a general formula in this work, and it isimplied that modifications should be made in general situations. Effects ofredshift-space distortions are straightforwardly incorporated. It is found thatthe slope of the scale-dependent bias on large scales is determined only by thebehavior of primordial bispectrum in the squeezed limit, and is not sensitiveto bias models in general. It is the amplitude of scale-dependent bias that issensitive to the bias models. The effects of redshift-space distortions turnout to be quite small for the monopole component of the power spectrum, whilethe quadrupole component is proportional to the monopole component on largescales, and thus also sensitive to the primordial non-Gaussianity.

Deriving an Accurate Formula of Scale-dependent Bias with Primordial Non-Gaussianity: An Application of the Integrated Perturbation Theory