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Constraints on Single-Field Inflation from the BOSS Galaxy Survey.

Giovanni Cabass1, Mikhail M Ivanov1, Oliver H E Philcox1,2

  • 1School of Natural Sciences, Institute for Advanced Study, 1 Einstein Drive, Princeton, New Jersey 08540, USA.

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We present the first galaxy data constraints on nonlocal primordial non-Gaussianity (NLPNG), a key indicator of inflationary interactions. Our analysis provides new limits on equilateral and orthogonal non-Gaussianity, independent of cosmic microwave background measurements.

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Area of Science:

  • Cosmology
  • Inflationary theory
  • Galaxy surveys

Background:

  • Nonlocal primordial non-Gaussianity (NLPNG) is a crucial signature of interactions within single-field inflationary models.
  • NLPNG can be characterized by equilateral and orthogonal templates.
  • Cosmic Microwave Background (CMB) fluctuations are the primary source for previous NLPNG constraints.

Purpose of the Study:

  • To derive the first constraints on equilateral and orthogonal NLPNG from galaxy data.
  • To perform a comprehensive analysis incorporating nonlinear corrections and varying cosmological parameters.
  • To establish measurements of NLPNG independent of CMB fluctuations.

Main Methods:

  • Utilized redshift-space galaxy power spectra and bispectra from the BOSS survey.
  • Performed a global fit analysis including nonlinear corrections from NLPNG.
  • Varied cosmological and nuisance parameters for a robust analysis.

Main Results:

  • Conservative analysis yielded joint limits: f_NL^{equil}=940±600 and f_NL^{ortho}=-170±170 (68% CL).
  • Derived constraints on the effective single-field inflationary Lagrangian, including a bound on the sound speed of inflaton fluctuations: c_s ≥ 0.013 (95% CL).
  • Tightened constraints by fixing galaxy bias and cosmological parameters: f_NL^{equil}=260±300 and f_NL^{ortho}=-23±120 (68% CL).

Conclusions:

  • The study provides novel, independent constraints on NLPNG from galaxy surveys.
  • Results offer insights into inflationary models and the properties of inflaton fluctuations.
  • Future analyses can refine these constraints by incorporating additional data and improved modeling.