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A global $U(1)_text{PQ}$ symmetry is protected from gravitational effects in the s-confining $SU(N)^k$ product group theory with $A+4Q +Noverline{Q}$ matter. If the $SU(4)$ family symmetry is gauged and an appropriate tree-level superpotential is added, then the dynamically generated superpotential spontaneously breaks $SU(4)times U(1)_text{PQ} rightarrow SU(3)_c$ and produces a QCD axion. Small values of the $CP$-violating $theta$ parameter are then possible without any fine-tuning, as long as the product group is suitably large. By introducing a second copy of the s-confining $SU(N)$ product group also coupled to the gauged $SU(4)$, we find that values as small as $N=7$ are consistent with $bartheta<10^{-10}$, even under the pessimistic assumption that the dominant contribution to the axion quality is at tree level.
We consider the strong dynamics associated with a composite Higgs model that simultaneously produces dynamical axions and solves the strong CP problem. The strong dynamics arises from a new $Sp$ or $SU(4)$ hypercolor gauge group containing QCD colore
The strong CP problem is a compelling motivation for physics beyond the Standard Model. The most popular solutions invoke a global Peccei-Quinn symmetry, but are challenged by quantum gravitational corrections which are thought to be incompatible wit
We describe a realistic, renormalizable, supersymmetric ``quindecuplet model in which the top quark, left handed bottom quark, and up-type Higgs boson are composite, with a compositeness scale $sim 1-3$ TeV. The top-Higgs Yukawa coupling is a dynamic
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Motivated by the flavored Peccei-Quinn symmetry for unifying the flavor physics and string theory, we construct an explicit model by introducing a $U(1)$ symmetry such that the $U(1)_X$-$[gravity]^2$ anomaly-free condition together with the standard