A Fisher forecast shows that order-of-magnitude improvements in helium-4 abundance measurements could yield light-relic constraints near CMB-S4 sensitivity, but deuterium measurements alone will not be competitive.
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Prospects and Limitations for Constraining Light Relics with Primordial Abundance Measurements
A Fisher forecast shows that order-of-magnitude improvements in helium-4 abundance measurements could yield light-relic constraints near CMB-S4 sensitivity, but deuterium measurements alone will not be competitive.