6533b82efe1ef96bd129281a

RESEARCH PRODUCT

Implications of a Rotating Mass Matrix

Tsou Sheung TsunChan Hong-moJosé Bordes

subject

PhysicsNuclear and High Energy PhysicsParticle physicsScale (ratio)Electron–positron annihilationFísicaFOS: Physical sciencesFermionMass matrixStandard ModelOrientation (vector space)High Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Energy (signal processing)Eigenvalues and eigenvectors

description

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 $\psi \longrightarrow \mu \tau$, $\Upsilon \longrightarrow \mu \tau$ or $\pi^0 \longrightarrow e \mu$ may be within experimental range, if not immediately, then in the near future.

https://dx.doi.org/10.48550/arxiv.hep-ph/0006338