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    Primordial angular power spectrum from the alternative mass function in loop quantum cosmology

    Abolhassan Mohammadi*, Bao-Fei Li†, and Tao Zhu‡

    • *Contact author: abolhassanm@zjut.edu.cn
    • †Contact author: libaofei@zjut.edu.cn
    • ‡Contact author: zhut05@zjut.edu.cn

    Phys. Rev. D 112, 044065 – Published 28 August, 2025

    DOI: https://doi.org/10.1103/zn57-gc6g

    Abstract

    We investigate the cosmological impacts of the alternative effective mass function of the modified Mukhanov-Sasaki equation in loop quantum cosmology, which is obtained from the polymerization of the classical mass function derived in the comoving gauge. This alternative effective mass function is distinct from those in the dressed metric and the hybrid approaches and is able to generate a new structure in the primordial power spectrum. After taking the Starobinsky potential and employing a particular polymerization ansatz for the inverse Hubble rate, the effective mass function is characterized by a free parameter ξ. When ξ≥0.1, there appears a wave-packet structure in the region preceding the almost scale invariant regime of the power spectrum and both the location and the height of the wave packet are affected by the choice of ξ. For the angular power spectrum, we find ξ=0.2 provides a curve practically indistinguishable from the one of ΛCDM model. Our study presents a concrete example in which the fine structure of the primordial power spectrum sensitively relies on the parameters in the polymerization ansatz.

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