Muon-Electron Conversion in a Family Gauge Boson Model

Abstract

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 $V_{\text{CKM}}=U^{u†}{U}^d$. 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.

arXiv comment14 pages, 3 figures

References in corpus (11)

• Big-Bang Nucleosynthesis
• Detailed calculation of lepton flavor violating muon-electron conversion rate for various nuclei
• Mu2e Technical Design Report
• An Improved upper limit on the decay K^+ -> pi^+ mu^+ e^-
• A new idea to search for charged lepton flavor violation using a muonic atom
• Family Gauge Symmetry and Koide's Mass Formula
• Family Gauge Bosons with an Inverted Mass Hierarchy
• Spectroscopy of Family Gauge Bosons
• A way to crosscheck $\mu$-$e$ conversion in the case of no signals of $\mu \to e\gamma$ and $\mu \to 3e$
• Quark and Lepton Mass Matrix Model with Only Six Family-Independent Parameters
• Family Gauge Boson Production at the LHC

Cited by in corpus (3)

• Charged Lepton Mass Relations in a SUSY Scenario
• A modified version of the Koide formula from flavor nonets in a scalar potential model and in a Yukawaon model
• Sumino's Cancellation Mechanism in an Anomaly-Free Model