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Pecci-Quinn (PQ) symmetry breaking by perturbative dynamics would suffer froma hierarchy problem, just like the electroweak symmetry breaking in thestandard model. The dynamics of the axion, associated with the PQ symmetrybreaking, would also involve a triviality problem. We provide a paradigm toresolve those two problems potentially existing in the PQ symmetry breakingscenario, with keeping successful axion relaxation for the QCD strong CP phase.The proposed theory includes an axicolor dynamics with the axicolored fermionspartially gauged by the QCD color, and is shown to be governed by anasymptotically safe (AS) fixed point: quantum scale invariance is built. The ASaxicolor is actually a ``walking" dynamics, which dynamically breaks a PQsymmetry, a part of the chiral symmetry carried by the axicolored fermions. ThePQ scale generation is then triggered by the nonperturbative dimensionaltransmutation in the ``walking" dynamics. A composite axion emerges as theassosiated Nambu-Goldstone boson. That is, no hierarchy or triviality problemis present there. The composite axion can potentially be light due to thecharacteristic feature of the AS axicolor (``walking" axicolor), becomes theQCD axion in the anti-Veneziano limit, and gets heavier by the subleadingcorrection. The composite axion relaxes the QCD theta parameter, involvingheavier relaxation partners such as axicolored pseudoscalar mesons, and theultraviolet correction to the relaxation mechanism is protected by theestablished (near) scale invariance during the ``walking" regime.

Peccei-Quinn Symmetry Breaking via Asymptotically Safe Dynamical Scalegenesis: A Walking Axicolor and Axion