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Main Authors: Benabou, Joshua N., Dainelli, Giulio Alvise, Reig, Mario, Safdi, Benjamin R.
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2605.04142
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author Benabou, Joshua N.
Dainelli, Giulio Alvise
Reig, Mario
Safdi, Benjamin R.
author_facet Benabou, Joshua N.
Dainelli, Giulio Alvise
Reig, Mario
Safdi, Benjamin R.
contents We show that in heterotic string theory -- and dual corners of the landscape including Type I string theory -- the QCD axion mass is bounded from below by $m_a \gtrsim 0.5$ neV, a direct consequence of the model-independent axion whose decay constant is fixed by the grand unified theory (GUT) gauge coupling. We explicitly compute the mass of the QCD axion in an ensemble of heterotic compactifications on Calabi-Yau hypersurfaces of toric varieties sampled from the Kreuzer-Skarke (KS) ensemble, as well as on complete intersection Calabi-Yau manifolds. We then perform an extensive search over the Kähler moduli space of KS compactifications with up to $11$ axions -- the maximum we identify as consistent with unification in our sample. We establish that for all but a handful of manifolds the QCD axion mass is precisely the model-independent value, lying in $[0.5, 0.8]$ neV, depending on the GUT gauge coupling. This window should be a high-priority target for future lumped-element detectors such as DMRadio-GUT. We show that the heavy axion population in our heterotic ensemble generically decays before big bang nucleosynthesis and can naturally accommodate leptogenesis, unlike in Type IIB axiverse constructions.
format Preprint
id arxiv_https___arxiv_org_abs_2605_04142
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Heterotic String Theory Suggests a QCD Axion Near 0.5 neV
Benabou, Joshua N.
Dainelli, Giulio Alvise
Reig, Mario
Safdi, Benjamin R.
High Energy Physics - Theory
High Energy Physics - Phenomenology
We show that in heterotic string theory -- and dual corners of the landscape including Type I string theory -- the QCD axion mass is bounded from below by $m_a \gtrsim 0.5$ neV, a direct consequence of the model-independent axion whose decay constant is fixed by the grand unified theory (GUT) gauge coupling. We explicitly compute the mass of the QCD axion in an ensemble of heterotic compactifications on Calabi-Yau hypersurfaces of toric varieties sampled from the Kreuzer-Skarke (KS) ensemble, as well as on complete intersection Calabi-Yau manifolds. We then perform an extensive search over the Kähler moduli space of KS compactifications with up to $11$ axions -- the maximum we identify as consistent with unification in our sample. We establish that for all but a handful of manifolds the QCD axion mass is precisely the model-independent value, lying in $[0.5, 0.8]$ neV, depending on the GUT gauge coupling. This window should be a high-priority target for future lumped-element detectors such as DMRadio-GUT. We show that the heavy axion population in our heterotic ensemble generically decays before big bang nucleosynthesis and can naturally accommodate leptogenesis, unlike in Type IIB axiverse constructions.
title Heterotic String Theory Suggests a QCD Axion Near 0.5 neV
topic High Energy Physics - Theory
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2605.04142