http://arxiv.org/abs/1912.09038

We study the reasonable requirements of two anomalous $U(1)$s in a flavored-axion framework for the anomaly cancellations of both $U(1)$-mixed gravity and $U(1)Y\times[U(1)]^2$ which in turn determine the $U(1)_Y$ charges where $U(1)_Y$ is the hypercharge gauge symmetry of the standard model. We argue that, with a flavor symmetry group, axion-induced topology in symmetry-broken phases plays crucial roles in describing how quarks and leptons are organized at a fundamental level and make deep connections with each other. A unified model, as an example, is then proposed in a simple way to describe a whole spectrum of particles where both flavored-axion interactions with normal matter and the masses and mixings of fermions emerge from the spontaneous breaking of a given symmetry group. Once a scale of active neutrino mass defined at a seesaw scale is fixed by the commensurate $U(1)$ flavored-PQ charges of fermions, that of QCD axion decay constant $F_A$ is determined. In turn, fundamental physical parameters complementary to each other are predicted with the help of precision flavor experiments and astrophysical observations. Model predictions are extracted on the characteristics of neutrino and flavored-axion as a good candidate of dark matter: $F_A=3.05^{\,+1.01}{\,-1.01}\times10^{10}$ GeV (consequently, QCD axion mass $m_a=1.78^{+0.88}{-0.44}\times10^{-4}$ eV, and axion to electron coupling $|g{a\gamma\gamma}|=2.51^{+0.62}{-1.24}\times10^{-14}\,\text{GeV}^{-1}$, etc.); atmospheric mixing angle $\theta{23}$, Dirac CP phase $\delta_{CP}$, and $0\nu\beta\beta$-decay rate for normal mass ordering and inverted one by taking quantum corrections into account. Future $0\nu\beta\beta$ decay searches and/or precise measurement of $\theta_{23}$ will exclude or favor the example model, giving predictions on $\delta_{CP}$ and mass orderings.

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Y. Ahn and X. Bi
Fri, 20 Dec 19
17/63

Comments: 54 pages, 7 figures