Universal Evolution of CKM Matrix Elements

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 un...

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Bibliographic Details
Published in:arXiv.org 1992-10
Main Authors: Barger, V, Berger, M S, Ohmann, P
Format: Article
Language:English
Subjects:
Evolution
Hierarchies
Perturbation theory
Scaling factors
Online Access:Get full text
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Summary: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 \(\lambda _b=\lambda _{\tau}\) at the GUT scale determines the CKM scaling factor to be \(\simeq 0.58\) in the MSSM.
ISSN:2331-8422
DOI:10.48550/arxiv.9210260