Universal evolution of Cabibbo-Kobayashi-Maskawa matrix elements

1992/10/26 by V. Barger, M. S. Berger, P. Ohmann · 5 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.47.2038

published as Phys.Rev.D47:2038-2045,1993 · 17 pages + 2 figures not included (available upon request), revised version fixes discrepancy between S and S^{1/2}, no other changes, MAD/PH/722

arxiv created 1992/10/26 · openalex publication_date 1993/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We derive the two-loop evolution equations for the Cabibbo-Kobayashi-Masakawa (CKM) matrix. We show that to leading order in the mass and CKM hierarchies the scaling of the mixings |V_ub|², |V_cb|², |V_td|², |V_ts|² and of the rephase-invariant CP-violating parameter J is universal to all orders in perturbation theory. In leading order the other CKM elements do not scale. Imposing the constraint \ensuremathλ_b=\ensuremathλ_\ensuremathτ at the grand unified theory scale determines the CKM scaling factor to be \ensuremath∥0.58 in the minimal supersymmetric standard model.

Citations

• Commutator of the Quark Mass Matrices in the Standard Electroweak Model and a Measure of MaximalCPNonconservation
• Supersymmetric grand unified theories: Two-loop evolution of gauge and Yukawa couplings

Cited by

• Quark and lepton masses in 5D SO(10)
• Finite supersymmetric threshold corrections to CKM matrix elements in the large tanβ regime
• Spontaneous CP violation and non-Abelian family symmetry in SUSY
• New Approach for the Construction of Fermion Mass Matrices in SO(10) Supersymmetric Grand Unified Theories
• Systematic SO(10) operator analysis for fermion masses