The axion-photon coupling from lattice Quantum Chromodynamics

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Hauptverfasser: Brandt, Bastian B., Endrődi, Gergely, Hernández, José Javier Hernández, Markó, Gergely, Pannullo, Laurin
Format: Preprint
Veröffentlicht: 2026
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author Brandt, Bastian B.
Endrődi, Gergely
Hernández, José Javier Hernández
Markó, Gergely
Pannullo, Laurin
author_facet Brandt, Bastian B.
Endrődi, Gergely
Hernández, José Javier Hernández
Markó, Gergely
Pannullo, Laurin
contents Quantum Chromodynamics (QCD) is the theory of the strong interactions within the Standard Model of particle physics, which explains more than 99% of the mass of the visible Universe. However, there is evidence that a substantial portion of our Universe is made up of particles beyond the Standard Model, i.e. dark matter. A popular dark matter candidate is the axion -- a hypothetical particle that also solves the so-called strong CP-problem, the unexpected symmetry of QCD under time reversal. The experimental detection of axions hinges on their conversion rate to photons, controlled by the axion-photon coupling. This coupling depends on the specific axion model, but also receives a sizable model-independent contribution from QCD. Here we present the first non-perturbative determination of the QCD contribution using continuum extrapolated lattice simulations. The calculation is based on determining the response of the QCD vacuum to time reversal-odd combinations of background electromagnetic fields. We develop two independent methods exploiting different features of this response and obtain $g_{Aγγ}^{\rm QCD} f_A/e^2=-0.0224(10)$ in units of the axion scale $f_A$ and the elementary charge $e$. Armed with this first-principles result, we present a novel update on how experimental observations can be used to constrain the landscape of axion models, useful for guiding contemporary and future observational strategies.
format Preprint
id arxiv_https___arxiv_org_abs_2603_29153
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The axion-photon coupling from lattice Quantum Chromodynamics
Brandt, Bastian B.
Endrődi, Gergely
Hernández, José Javier Hernández
Markó, Gergely
Pannullo, Laurin
High Energy Physics - Lattice
High Energy Physics - Phenomenology
High Energy Physics - Theory
Quantum Chromodynamics (QCD) is the theory of the strong interactions within the Standard Model of particle physics, which explains more than 99% of the mass of the visible Universe. However, there is evidence that a substantial portion of our Universe is made up of particles beyond the Standard Model, i.e. dark matter. A popular dark matter candidate is the axion -- a hypothetical particle that also solves the so-called strong CP-problem, the unexpected symmetry of QCD under time reversal. The experimental detection of axions hinges on their conversion rate to photons, controlled by the axion-photon coupling. This coupling depends on the specific axion model, but also receives a sizable model-independent contribution from QCD. Here we present the first non-perturbative determination of the QCD contribution using continuum extrapolated lattice simulations. The calculation is based on determining the response of the QCD vacuum to time reversal-odd combinations of background electromagnetic fields. We develop two independent methods exploiting different features of this response and obtain $g_{Aγγ}^{\rm QCD} f_A/e^2=-0.0224(10)$ in units of the axion scale $f_A$ and the elementary charge $e$. Armed with this first-principles result, we present a novel update on how experimental observations can be used to constrain the landscape of axion models, useful for guiding contemporary and future observational strategies.
title The axion-photon coupling from lattice Quantum Chromodynamics
topic High Energy Physics - Lattice
High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2603.29153