Kavli Affiliate: Eiichiro Komatsu
| First 5 Authors: Sha Azyzy, Sha Azyzy, , ,
| Summary:
Parity-odd four-point correlation functions, or trispectra, of cosmic matter
density fields provide a unique probe of fundamental symmetries in cosmology.
Trispectra of primordial matter density fluctuations produced in the early
universe are modified by the subsequent nonlinear structure formation. In this
paper, we compute the nonlinear evolution of the parity-odd matter trispectrum
to one-loop order, i.e., to third order in density fluctuations, within the
framework of effective field theory of the large-scale structure of the
universe. By analyzing the different terms in the perturbation series, we
demonstrate the structure of infrared divergence cancellations, as required by
the equivalence principle. We also derive the forms of the counterterms
required to renormalize the ultraviolet divergences. Adopting a specific model
for a primordial parity-odd trispectrum, we numerically compute the
leading-order effects of nonlinear gravitational evolution and study its impact
on baryonic acoustic oscillations within the signal. These calculations are
essential for comparing the observed trispectra of nonlinear cosmic density
fields with theoretical expectations.
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