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    Universal CMB B-mode spectrum from early causal tensor sources

    Kylar Greene1,*, Aurora Ireland2,†, Gordan Krnjaic3,4,5,‡, and Yuhsin Tsai6,§

    • *Contact author: kylar.cosmo@pm.me
    • †Contact author: anireland@stanford.edu
    • ‡Contact author: krnjaicg@uchicago.edu
    • §Contact author: ytsai3@nd.edu

    Phys. Rev. D 113, 123504 – Published 3 June, 2026

    DOI: https://doi.org/10.1103/vzpt-4wqc

    Abstract

    Many early Universe scenarios predict postinflationary tensor perturbations from causality-limited, subhorizon sources. While the microphysical details may differ, as long as these sources are bounded in duration and correlation length, their tensor power spectra exhibit a universal scaling behavior at small wave number: Ph(k)∝k3, corresponding to white noise on superhorizon scales at the time of production. If these early causal tensor sources (ECTs) exclusively produce gravitational waves before redshift z∼105, this scaling is realized on all of the scales observed in the CMB, and thus yields a universal multipole distribution for the B-mode angular power spectrum. Unlike the scale-invariant distributions of inflationary B modes, ECTs generically predict enhanced power on small scales and suppressed power on large scales, which allows these source classes to be distinguished given measurements over a sufficient range of angular scales. In this paper, we introduce a unified framework for characterizing ECTs and demonstrate how their universal infrared scaling manifests in low-frequency observables, including CMB B modes and stochastic gravitational wave spectral densities. We illustrate this mapping with representative case studies of this universality class involving first-order phase transitions, topological defects, and enhanced scalar perturbations, which source tensor modes at second order in perturbation theory.

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