Implications of a Rotating Mass Matrix

Abstract

The fermion mass matrix, in addition to having eigenvalues (masses) which run, also changes its orientation (rotates) with changing energy scales. This means that its eigenstates at one scale will no longer be eigenstates at another scale, leading to effects where fermions of different flavours can ``transmute'' into one another. In this paper, the implications of a rotating mass matrix are analysed and possible transmuation effects are investigated both in the Standard Model (SM) and in the so-called Dualized Standard Model (DSM) that we advocate, arriving at the conclusion that some transmutational decays such as $\psi ⟶\mu \tau$, ${\rm Y}⟶\mu \tau$ or ${\pi }^0⟶e\mu$ may be within experimental range, if not immediately, then in the near future.

22 pages, Latex, figures using eps and axodraw

References in corpus (1)

• Coherent Muon-Electron conversion in the Dualized Standard Model

Cited by in corpus (6)

• Search for Lepton Flavor Violation Process J/$\psi \to e\mu$
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• Lepton Transmutation in the Dualized Standard Model
• Search for the lepton flavor violating decay $J/\psi \to e\mu$
• Search for the charged lepton flavor violating decay $\psi (3686)\to e^{\pm }{\mu }^{\mp }$
• Neutrinoless Double Beta Decay in the Dualized Standard Model