The axion-photon coupling from lattice Quantum Chromodynamics

TL;DR

This paper presents the first non-perturbative lattice QCD calculation of the QCD contribution to the axion-photon coupling, crucial for axion dark matter detection strategies.

Contribution

It provides a novel, first-principles determination of the QCD contribution to the axion-photon coupling using continuum-extrapolated lattice simulations.

Findings

Calculated the QCD contribution to the axion-photon coupling as -0.0224(10) in units of $f_A/e^2$.

Developed two independent methods to determine the QCD response to electromagnetic fields.

Updated constraints on axion models based on the new first-principles result.

Abstract

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 $g_{A\gamma\gamma}^{\rm QCD} f_A/e^2=-0.0224(10)$ 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.