How many parameters does a quark mass matrix model need

Journal Article · Thu Nov 01 00:00:00 EST 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.42.3236· OSTI ID:6143145

Koide, Y ^[1]

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1. Department of Physics, University of Shizuoka, 395 Yada, Shizuoka 422, Japan (JP)

An investigation independent of matrix form is made of how many parameters, which characterize the difference between up- and down-quark mass matrices, are, at least, required from the present data on quark masses and mixings. From a general study of the model with hierarchical three-step mass generations described by the three parameters {alpha}{sub {ital q}}, {beta}{sub {ital q}}, and {gamma}{sub {ital q}} ({vert bar}{alpha}{sub {ital q}}{vert bar}{much gt}{vert bar}{beta}{sub {ital q}}{vert bar}{much gt}{vert bar}{gamma}{sub {ital q}}{vert bar}; {ital q}={ital u},{ital d}), it is pointed out that the model with {beta}{sub {ital u}}/{beta}{sub {ital d}}={gamma}{sub {ital u}}/{gamma}{sub {ital d}} (i.e., with two independent parameters {alpha}{sub {ital q}} and {beta}{sub {ital q}}) is ruled out.

• OSTI ID: 6143145
• Journal Information: Physical Review, D (Particles Fields); (USA), Vol. 42:9; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties