Axion Dark Matter, Proton Decay and Unification

Abstract

We discuss the possibility to predict the QCD axion mass in the context of grand unified theories. We investigate the implementation of the DFSZ mechanism in the context of renormalizable SU(5) theories. In the simplest theory, the axion mass can be predicted with good precision in the range $m_a=(2-16)$ neV, and there is a strong correlation between the predictions for the axion mass and proton decay rates. In this context, we predict an upper bound for the proton decay channels with antineutrinos, $\tau (p\to K^{+}\bar{\nu })\lesssim 4\times 10^{37}\text{ yr}$ and $\tau (p\to {\pi }^{+}\bar{\nu })\lesssim 2\times 10^{36}\text{ yr}$. This theory can be considered as the minimal realistic grand unified theory with the DFSZ mechanism and it can be fully tested by proton decay and axion experiments.

arXiv comment17 pages, 4 figures. v2: minor comments and references added, matches version published in JHEP

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• Detecting axion dark matter beyond the magnetoquasistatic approximation
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• Pati-Salam Axion
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• High-quality grand unified theories with three generations
• Unification Predictions With or Without Supersymmetry
• Electromagnetic modeling and science reach of DMRadio-m${}^3$
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• Dark matter, supernova neutrinos and other backgrounds in direct dark matter searches. The ANDES laboratory prospects
• $SU(5)\times U(1{)}_X$ Axion Model with Observable Proton Decay