Quark Masses and Mixing Angles

Abstract

Inspired by the vector-like phenomenon of chiral gauge theories at short distances, we postulate that the $W^{\pm }$-gauge boson has a vector-like gauge coupling in the high-energy region, beside its purely right-handed gauge coupling observed in the low-energy region. It is discussed that the top quark acquires its mass via spontaneous symmetry breaking, while the $u,d,c,s,b$ quarks acquire their masses via explicit symmetry breakings. We discover four relationships between four inter-generation mixing angles and six quark masses by examining Dyson equations for quark self-energy functions. A preliminary analysis shows that the hierarchical pattern of quark masses is closely related to the hierarchical pattern of inter-generation mixing angles. In particular, the CP-violating phase is predicted to be approximately 79${}^{\circ }$.

more references are added, to appear in Phys. Lett. B

References in corpus (8)

• Dynamical Left-Right Symmetry Breaking
• Left-Right Symmetry Breaking in NJL Approach
• A Symmetry Pattern of Maximal CP-Violation and a Determination of the Unitarity Triangle
• A possible scaling region of chiral fermions on a lattice
• A Lattice Chiral Theory with Multifermion Couplings
• Mass Relation Between Top and Bottom Quarks
• The Propagators of Gauge Bosons on a lattice
• The Standard Model on a Planck Lattice: Mixing Angles vs Quark Masses

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