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Family Gauge Boson Model with Inverted Mass Hierarchy
An interesting family gauge boson (FGB) model (Model A) has
been proposed by Sumino. The model can give FGBs with a
considerably low energy scale in spite of the sever
constraints form the observed
$K^0$-$\bar{K}^0$ mixing and so on.
An essential idea in Model A is in the so-called
Sumino cancellation mechanism between QED and FGB diagrams.
But Model A is not anomaly free and, besides, it causes
effective interactions with $\Delta N_{\rm family}=2$.
In order to avoid these problems, a revised Sumino model
with an inverted mass hierarchy (Model B) has proposed,
but, in this time, it cannot satisfy the Sumino cancellation
mechanism exactly. In this paper, we propose a revised version
of Model B, where the model still keeps anomaly free, but
it can exactly satisfy the Sumino mechanism.
An effect of the revised model will be confirmed by observations
$K^+ \rightarrow \pi^+ e^- \mu^+$ and $\mu^- N\rightarrow e^- N$.
\end{abstract}
Physics Letters B (Elsevier) (2016)
DOI:10.1016/j.physletb.2016.09.004
Muon-Electron Conversion in a Family Gauge Boson Model
Yoshio Koide and Masato Yamanaka
We study the $\mu$-$e$ conversion in muonic atoms via an
exchange of family gauge boson (FGB) $A_{2}^{\ 1}$ in a
$U(3)$ FGB model. Within the class of FGB model, we consider
three types of family-number assignments for quarks.
We evaluate the $\mu$-$e$ conversion rate for various target
nuclei, and find that next generation $\mu$-$e$ conversion
search experiments can cover entire energy scale of the model
for all of types of the quark family-number assignments.
We show that the conversion rate in the model is so sensitive
to up- and down-quark mixing matrices, $U^{u}$ and $U^{d}$,
where the CKM matrix is given by $V_\text{CKM} = U^{u\dagger} U^d$.
Precise measurements of conversion rates for various target nuclei
can identify not only the types of quark family-number assignments,
but also each quark mixing matrix individually.
An interesting family gauge boson (FGB) model has been proposed
by Sumino. The model can give FGBs with a considerably low
energy scale under a cancellation mechanism between radiative
QED and FGB diagrams But his model is not anomaly free and
causes effective interactions with $\Delta N_{\rm family}=2$.
In order to avoid those problems, a new FGB model with an
inverted mass hierarchy has proposed, but it cannot satisfy
the Sumino cancellation mechanism exactly. In this paper,
we propose a revised FGB model, where the model still gives
an inverted mass hierarchy, but it can exactly satisfy the
Sumino mechanism. An effect of the revised model will be
confirmed by $\mu^- N\rightarrow e^- N$ experiments.
Revise version of No.(7) in 2015
arXiv:1512.08386 [hep-ph]
Mod. Phys. Lett. A, Vol. 31, No. 20 (2016), 1650125
DOI: 10.1142/S021773231650125X
Quark and Lepton Mass Matrices Described by Charged Lepton Masses
Yoshio Koide and Hiroyuki Nishiura
Recently, we proposed a unified mass matrix model for quarks and leptons,
in which, mass ratios and mixings of
the quarks and neutrinos are described by using only the
observed charged lepton mass values as family-number-dependent
parameters and only six family-number-independent free
parameters. In spite of quite few parameters,
the model gives remarkable agreement with observed data (i.e.
CKM mixing, PMNS mixing and mass ratios).
Taking this phenomenological success seriously, we give a formulation
of the so-called Yukawaon model in details from a theoretical aspect,
especially for the construction of superpotentials and $R$ charge
assignments of fields.
The model is considerably modified from the previous one, while
the phenomenological success is kept unchanged.
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