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Systematic Analysis of Parity-Violating Modes.

Hong-Ming Zhu1, Ue-Li Pen2

  • 1Canadian Institute for Theoretical Astrophysics, National Astronomical Observatories, Chinese Academy of Sciences, 20A Datun Road, Beijing 100101, China and , 60 St. George Street, Toronto, Ontario M5S 3H8, Canada.

Physical Review Letters
|September 26, 2025
PubMed
Summary
This summary is machine-generated.

Cosmological parity violation in the four-point correlation function (4PCF) can now be systematically generated. This new procedure efficiently creates arbitrary vectorial and tensorial violations on all scales.

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Area of Science:

  • Cosmology
  • Particle Physics
  • Astrophysics

Background:

  • Recent observations suggest potential cosmological parity violation in the four-point correlation function (4PCF).
  • The generation mechanisms for these violations remain unclear.
  • Understanding parity violation is crucial for testing fundamental physics and cosmological models.

Purpose of the Study:

  • To develop a constructive procedure for systematically generating cosmological parity violations.
  • To explore both vectorial and tensorial types of violations across various scales.
  • To analyze the behavior of these violations in the linear regime of structure formation.

Main Methods:

  • A novel constructive procedure is presented to generate parity-violating terms.
  • The method is computationally efficient, particularly in the squeezed limit of the 4PCF.
  • Numerical transfer functions are computed to analyze the generated violations.

Main Results:

  • The procedure successfully generates arbitrary vectorial and tensorial parity violations.
  • The generated violations exhibit strong conservation in the linear regime.
  • The method covers all squeezed parity-violating observables classified by quadratic estimators.

Conclusions:

  • A systematic method for generating cosmological parity violations is now available.
  • The findings provide a tool to probe fundamental physics in the early universe.
  • This work facilitates further investigation into the nature and origin of parity violation in cosmology.