QCD axion and Neutrino induced by Hidden flavor structure. (arXiv:1912.09038v2 [hep-ph] UPDATED)

QCD axion and Neutrino induced by Hidden flavor structure. (arXiv:1912.09038v2 [hep-ph] UPDATED)
<a href="http://arxiv.org/find/hep-ph/1/au:+Ahn_Y/0/1/0/all/0/1">Y. H. Ahn</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Bi_X/0/1/0/all/0/1">Xiaojun Bi</a>

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 $U(1)_Ytimes[U(1)]^2$ 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
charge 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. Model predictions are extracted
on the characteristics of neutrino and flavored-axion:
$F_A=3.57^{,+1.52}_{,-1.53}times10^{10}$ GeV (consequently, QCD axion mass
$m_a=1.52^{+1.14}_{-0.46}times10^{-4}$ eV, axion to photon coupling
$|g_{agammagamma}|=2.15^{+1.61}_{-0.64}times10^{-14},text{GeV}^{-1}$,
axion to electron coupling $g_{Aee}=3.29^{+2.47}_{-0.98}times10^{-14}$, etc.);
atmospheric mixing angle $theta_{23}$, Dirac CP phase $delta_{CP}$, and
$0nubetabeta${it-decay rate} for normal mass ordering and inverted one by
taking quantum corrections into account.

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 $U(1)_Ytimes[U(1)]^2$ 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
charge 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. Model predictions are extracted
on the characteristics of neutrino and flavored-axion:
$F_A=3.57^{,+1.52}_{,-1.53}times10^{10}$ GeV (consequently, QCD axion mass
$m_a=1.52^{+1.14}_{-0.46}times10^{-4}$ eV, axion to photon coupling
$|g_{agammagamma}|=2.15^{+1.61}_{-0.64}times10^{-14},text{GeV}^{-1}$,
axion to electron coupling $g_{Aee}=3.29^{+2.47}_{-0.98}times10^{-14}$, etc.);
atmospheric mixing angle $theta_{23}$, Dirac CP phase $delta_{CP}$, and
$0nubetabeta${it-decay rate} for normal mass ordering and inverted one by
taking quantum corrections into account.

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