Deriving an Accurate Formula of Scale-dependent Bias with Primordial
  Non-Gaussianity: An Application of the Integrated Perturbation Theory
  We apply the integrated perturbation theory (Matsubara 2011, PRD 83, 083518)
to evaluate the scale-dependent bias in the presence of primordial
non-Gaussianity. The integrated perturbation theory is a general framework of
nonlinear perturbation theory, in which a broad class of bias models can be
incorporated into perturbative evaluations of biased power spectrum and
higher-order polyspectra. Approximations such as the high-peak limit or the
peak-background split are not necessary to derive the scale-dependent bias in
this framework. Applying the halo approach, previously known formulas are
re-derived as limiting cases of a general formula in this work, and it is
implied that modifications should be made in general situations. Effects of
redshift-space distortions are straightforwardly incorporated. It is found that
the slope of the scale-dependent bias on large scales is determined only by the
behavior of primordial bispectrum in the squeezed limit, and is not sensitive
to bias models in general. It is the amplitude of scale-dependent bias that is
sensitive to the bias models. The effects of redshift-space distortions turn
out to be quite small for the monopole component of the power spectrum, while
the quadrupole component is proportional to the monopole component on large
scales, and thus also sensitive to the primordial non-Gaussianity.
