Axion Quality from Exact Proton Stability
Joe Davighi🇨🇭 · Admir Greljo🇨🇭 · Xavier Ponce Díaz🇨🇭
A discrete, anomaly-free gauge symmetry may persist to the deep infrared, exactly forbidding proton decay. This can emerge from Higgsing a lepton-flavour non-universal that generates realistic neutrino masses and mixings through a high-scale seesaw and predicts an additional light Goldstone. Adding an anomaly-free chiral heavy-quark sector turns this mode into the QCD axion. The same selection rules that ban proton decay also forbid PQ-violating operators below a suitably high dimension, , including operators involving the heavy quarks that radiatively match onto the scalar potential. We construct explicit models viable when PQ breaking occurs before or after inflation; in the latter case, avoiding stable heavy relics and eliminating the string-wall network tightly constrain the heavy-quark spectrum. We identify restricted regions of parameter space where thermal leptogenesis remains viable and, for , can coexist with a high-quality axion constituting all of the dark matter.