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    Systematic Analysis of Parity-Violating Modes

    Hong-Ming Zhu (朱弘明)*

    Ue-Li Pen (彭威禮)†

    • *Contact author: hmzhu@nao.cas.cn
    • †Contact author: pen@cita.utoronto.ca

    Phys. Rev. Lett. 135, 111003 – Published 10 September, 2025

    DOI: https://doi.org/10.1103/8s52-x3r2

    Abstract

    Recent reports of cosmological parity violation in the four-point correlation function (4PCF) raise the question of how such violations could be systematically generated. Here we present a constructive procedure to generate arbitrary violations of vectorial and tensorial types on any scale, which is computationally efficient in the squeezed limit. We directly compute their numerical transfer function and find strong conservation in the linear regime. This procedure spans all squeezed parity-violating observables at the 4PCF following the quadratic estimator classification.

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