What question did this study set out to answer?

This research aims to investigate the QCD axion within the minimal supersymmetric SO(10) GUT framework.

March 15, 2026Journal of High Energy Physics0 citationsOpen Access

Axion in the minimal SO(10) GUT

TFTakeshi FukuyamaThe University of Osaka

Key Points

This research aims to investigate the QCD axion within the minimal supersymmetric SO(10) GUT framework.
Analyzed the Yukawa sector involving Higgs multiplets 10 and 126.
Identified the relative phase associated with the axion and its connection to VEVs.
Explored the implications of peccei-Quinn and B − L symmetry breaking scales.
Connected the axion with the domain-wall problem resolution.
Found that hybrid inflation aligns with observed CMB density fluctuations.
Demonstrated the model's consistency with three-generation restriction.

Abstract

A bstract The QCD axion is investigated within the minimal supersymmetric SO (10) grand unified theory, where the Yukawa sector involves Higgs multiplets 10 and 126 126 ¯. The relative phase between the VEVs of (10, 1, 3) ⊂ 126 126 ¯ and (10 10 ¯, 1, 3) ⊂ 126 under SU (4) C × SU (2) L × SU (2) R is identified with the axion. The axion is dominantly the relative phase between ∆ R and R ∆ ¯ R, with a small 10 -Higgs component due to the VEV hierarchy. The Peccei-Quinn and B − L symmetry breaking scales coincide through | R |=| R | Δ R = Δ ¯ R. The scalar partner of the lightest right-handed neutrino plays the role of the inflaton, realizing hybrid inflation consistent with the observed CMB density fluctuations. After inflation, both fields acquire VEVs, and the domain-wall problem is resolved through the Lazarides-Shafi mechanism, which naturally restricts the model to three generations.

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