Mass Matrices and Their Renormalization

Abstract

We obtain explicitly the renormalization group equations for the quark mass matrices in terms of a set of rephasing invariant parameters. For a range of assumed high energy values for the mass ratios and mixing parameters, they are found to evolve rapidly and develop hierarchies as the energy scale decreases. To achieve the experimentally observed high degree of hierarchy, however, the introduction of new models with specific properties becomes necessary.

18 pages, 13 figues

References in corpus (4)

• Power law scaling in Universal Extra Dimension scenarios
• Rephasing Invariant Parametrization of Flavor Mixing Matrices
• Renormalization Group Equations for the CKM matrix
• Rephasing Invariance and Hierarchy of the CKM Matrix

Cited by in corpus (7)

• Neutrino mixing in matter
• Renormalization of the quark mass matrix
• Renormalization Invariants and Quark Flavor Mixings
• CP Violation Makes Left-Right Symmetric Extensions With Non-Hermitian Mass Matrices Appear Unnatural
• Rephasing invariance and the neutrino mu-tau symmetry
• Flavor Mixing and the Permutation Symmetry among Generations
• Rephasing invariance and permutation symmetry in flavor physics