Light-Heavy Symmetry: Geometric Mass Hierarchy for Three Families

Details Light-Heavy Symmetry: Geometric Mass Hierarchy for Three Families Light-Heavy Symmetry: Geometric Mass Hierarchy for Three Families

1995-10-30

arxiv.org/abs/hep-ph/9510444v1

J.Phys. G24 (1998) L55-L62

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, no figures, Revtex file

Scientific paper

10.1088/0954-3899/24/9/002

The Universal Seesaw pattern coupled with a Light$\leftrightarrow$Heavy symmetry principle leads to the Diophantine equation $\displaystyle N = \sum_{i=1}^Nn_i$, where $n_i\geq 0$ and distinct. Its unique non-trivial solution $(3=0+1+2)$ gives rise to the geometric mass hierarchy $m_W$, $m_W\epsilon$, $m_W\epsilon^2$ for $N=3$ fermion families. This is realized in a model where the hybrid (yet Up$\leftrightarrow$Down symmetric) quark mass relations $m_d m_t \approx m_c^2\leftrightarrow m_u m_b \approx m_s^2 $ play a crucial role in expressing the CKM mixings in terms of simple mass ratios, notably $\sin\theta_C \approx {m_c\over m_b}$.

Affiliated with

Also associated with

No associations

Rating

Light-Heavy Symmetry: Geometric Mass Hierarchy for Three Families does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Light-Heavy Symmetry: Geometric Mass Hierarchy for Three Families, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Light-Heavy Symmetry: Geometric Mass Hierarchy for Three Families will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-388191