String Theory and Grand Unification Suggest a Sub-Microelectronvolt QCD Axion

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Autori principali: Benabou, Joshua N., Fraser, Katherine, Reig, Mario, Safdi, Benjamin R.
Natura: Preprint
Pubblicazione: 2025
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author Benabou, Joshua N.
Fraser, Katherine
Reig, Mario
Safdi, Benjamin R.
author_facet Benabou, Joshua N.
Fraser, Katherine
Reig, Mario
Safdi, Benjamin R.
contents 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 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 $\lesssim m_a \lesssim$ $10^{-8}$ 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 ($\sim$$10^{16}$ GeV), which in turn limits how heavy the axion can be. The same requirements limit the KS axiverse to have at most $\sim$47 axions. As an additional application of our methodology, we search for axions in the KS axiverse that could explain the recent Dark Energy Spectroscopic Instrument (DESI) hints of evolving dark energy but find none with high enough decay constant ($f_a \gtrsim 2.5 \times 10^{17}$ GeV); we comment on why such high decay constants and low axion masses are difficult to obtain in string compactifications more broadly.
format Preprint
id arxiv_https___arxiv_org_abs_2505_15884
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle String Theory and Grand Unification Suggest a Sub-Microelectronvolt QCD Axion
Benabou, Joshua N.
Fraser, Katherine
Reig, Mario
Safdi, Benjamin R.
High Energy Physics - Phenomenology
High Energy Physics - Theory
Axions, grand unification, and string theory are each compelling extensions of the Standard Model. We show that combining these frameworks imposes strong constraints on the QCD axion mass. Using unitarity arguments and explicit string compactifications - such as those from the Kreuzer-Skarke (KS) type IIB ensemble - we find that the axion mass is favored to lie within the range $10^{-11}$ eV $\lesssim m_a \lesssim$ $10^{-8}$ eV. This range is directly relevant for near-future axion dark matter searches, including ABRACADABRA/DMRadio and CASPEr. We argue that grand unification and the absence of proton decay suggest a compactification volume that keeps the string scale above the unification scale ($\sim$$10^{16}$ GeV), which in turn limits how heavy the axion can be. The same requirements limit the KS axiverse to have at most $\sim$47 axions. As an additional application of our methodology, we search for axions in the KS axiverse that could explain the recent Dark Energy Spectroscopic Instrument (DESI) hints of evolving dark energy but find none with high enough decay constant ($f_a \gtrsim 2.5 \times 10^{17}$ GeV); we comment on why such high decay constants and low axion masses are difficult to obtain in string compactifications more broadly.
title String Theory and Grand Unification Suggest a Sub-Microelectronvolt QCD Axion
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2505.15884