Universal evolution of Cabibbo-Kobayashi-Maskawa matrix elements

Abstract

We derive the two-loop evolution equations for the Cabibbo-Kobayashi-Maskawa 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 $λ_b=λ_τ$ at the GUT scale determines the CKM scaling factor to be $\simeq 0.58$ in the MSSM.

Locations

• Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields - View
• arXiv (Cornell University) - View - PDF
• PubMed - View
• DataCite API - View