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arXiv · 2606.13101

Correlation Between Proton Decay Channels and the Axion Mass in an Extended SU(5) GUT

Naoyuki Haba·Keisuke Nagano·Yasuhiro Shimizu·Toshifumi Yamada
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Abstract

We study a renormalizable SU(5) grand unified theory (GUT) supplemented by a 45-dimensional Higgs field and a DFSZ axion sector, imposing a Georgi--Jarlskog flavor structure at the unification scale. We perform a one-loop gauge coupling unification analysis, explicitly including the threshold masses of the light multiplets arising from the 45-dimensional Higgs field. This analysis identifies the viable region in the $(M_{\mathrm{GUT}},M_{S_1})$ parameter space. Through the relation between the unification and PQ scales, this region yields correlated predictions for the QCD axion mass. The Georgi--Jarlskog assumption substantially reduces the flavor ambiguity of the dimension-six baryon-violating operators, enabling robust constraints and predictions not only for antineutrino modes but also for charged-lepton proton decay modes such as $p \to e^+ \pi^0$. We present the combined implications for proton decay and axion searches, showing how the GUT-selected parameter region maps onto the axion mass, the axion-photon coupling, and the axion-induced EDM coupling.

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Naoyuki Haba, Keisuke Nagano, Yasuhiro Shimizu, Toshifumi Yamada. 2026-06-11. Correlation Between Proton Decay Channels and the Axion Mass in an Extended SU(5) GUT. https://arxiv.org/abs/2606.13101

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