Abstract
Spectroscopy of family gauge bosons is investigated based on a U(3) family gauge boson model proposed by Sumino. In his model, the family gauge bosons are in mass eigenstates in a diagonal basis of the charged lepton mass matrix. Therefore, the family numbers are defined by (e1,e2,e3)=(e,μ,τ), while the assignment for quark sector are free. For possible family-number assignments (q1,q2,q3), under a constraint from K0–K¯0 mixing, we investigate possibilities of new physics, e.g. production of the lightest family gauge boson at the LHC, μ−N→e−N, rare K and B decays, and so on.
Highlights
The most exciting subject in particle physics is to understand the origin of “flavor”
When we try to consider such a visible family gauge boson model, we always meet with constraints from the observed pseudo-scalar-anti-pseudo-scalar meson mixings P 0P0 (P = K, D, B, Bs)
We would like to emphasize that we assume that the family symmetry U(3) is assumed for all cases, so that the condition between gF and e is unchanged in Case A. (For example, Eq(2.3) is satisfied model-independently in Case B.) since the relations between ⟨Ψ⟩ and ⟨Φ⟩ are model-dependent even the family symmetry U(3) is assumed in common, so that in Eqs.(2.5), (2.8) - (2.10) and (2.12) - (2.15), the factor n has appeared model-dependently
Summary
The most exciting subject in particle physics is to understand the origin of “flavor”. The family gauge symmetry is U(3), so that a number of the family gauge bosons are nine (not eight), and quarks and leptons interacts with the family gauge bosons Aij is given by. Another remarkable point in the Sumino model is that the family gauge coupling constant gF and ratios among the family gauge boson masses Mij are not free, and when once a model is settled, gF and Mij/Mkl are fixed. The family number in the Sumino model [3] is defined by the charged lepton sector ei = (e, μ, τ ) and the gauge boson masses are given proportionally to the charged lepton masses.
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