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2% determination of Neff from primordial element abundance, cosmic microwave background, and baryon acoustic oscillation measurements

Samuel Goldstein* and J. Colin Hill†

  • *Contact author: sjg2215@columbia.edu
  • †Contact author: jch2200@columbia.edu

Phys. Rev. D 114, L021305 – Published 17 July, 2026

DOI: https://doi.org/10.1103/5vk8-v1rb

Abstract

We present a new constraint on the effective number of relativistic species in the early universe, Neff, by combining recent primordial helium abundance measurements from the Large Binocular Telescope Yp Project with primordial deuterium abundance data, CMB observations from Planck, the Atacama Cosmology Telescope, and the South Pole Telescope, and baryon acoustic oscillation (BAO) data from the Dark Energy Spectroscopic Instrument, yielding Neff=2.990±0.070 (68% CL). This is the tightest constraint on Neff to date, and is in excellent agreement with the standard model prediction of Neff=3.044. Furthermore, we constrain excess contributions to Neff beyond the three neutrino species, finding ΔNeff<0.107 (95% CL). This bound nearly approaches the minimum contribution to ΔNeff from a light spin-3/2 particle that decoupled at any time after inflation ended. Our baseline analysis does not include large-scale Planck polarization information, enabling a fully consistent combination of state-of-the-art CMB and BAO measurements. As a byproduct, we show that current Neff bounds are essentially insensitive to the inclusion or exclusion of optical depth constraints inferred from large-scale CMB polarization data, making Neff highly robust in this regard. Our constraints place stringent limits on light particles in the early Universe and on a broad range of models aimed at increasing the CMB-inferred value of the Hubble constant.

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