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September 11, 2025Physical review. D/Physical review. D.13 citationsOpen Access

String theory and grand unification suggest a submicroelectronvolt QCD axion

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JBJoshua N. BenabouKFKatherine FraserMRMario Reig

Key Points

  • The findings propose that the QCD axion mass is likely below 10^-8 eV, crucial for future dark matter detection studies.
  • Using perturbative unitarity and compactifications from the KS type IIB ensemble helps establish these constraints.
  • These considerations also limit the KS axiverse's axion count to approximately 47, showing the string scale connection to grand unification.
  • While seeking axions relevant to recent dark energy hints, high decay constants remain challenging in broader string frameworks.

Abstract

Axions, grand unification, and string theory are each compelling extensions of the Standard Model. We show that combining these frameworks imposes strong constraints on the QCD axion mass. Using perturbative unitarity arguments and explicit string compactifications—such as those from the Kreuzer-Skarke (KS) type IIB ensemble—we find that the axion mass is favored to lie within the range 10−11 eV≲ma≲10−8 eV. This range is directly relevant for near-future axion dark matter searches, including ABRACADABRA/DMRadio and CASPEr. We argue that grand unification and the absence of proton decay suggest a compactification volume that keeps the string scale above the unification scale (∼1016 GeV), which in turn limits how heavy the axion can be. The same requirements limit the KS axiverse to have at most ∼47 axions. As an additional application of our methodology, we search for axions in the KS axiverse that could explain the recent Dark Energy Spectroscopic Instrument hints of evolving dark energy but find none with high enough decay constant (fa≳2.5×1017 GeV); we comment on why such high decay constants and low axion masses are difficult to obtain in string compactifications more broadly.

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Cite This Study

Benabou et al. (2025) studied this question.

synapsesocial.com/papers/68c2a9cb04ab598fffb89f99https://doi.org/10.1103/lthr-97lm
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