Quark mixing renormalization effects in the determination of the CKM parameters |V_{ij}|

TL;DR

This paper reviews different renormalization schemes for the CKM matrix, analyzes their numerical effects on W-boson decay widths, and evaluates the impact on CKM parameter precision and unitarity tests.

Contribution

It provides a comparative analysis of CKM matrix renormalization schemes and assesses their influence on parameter extraction and unitarity tests.

Findings

Renormalization schemes cause scheme-dependent shifts in CKM parameters.

Numerical effects on W-boson decay widths vary across schemes.

Implications for the precision of CKM unitarity tests are discussed.

Abstract

We briefly review existing proposals for the renormalization of the Cabibbo-Kobayashi-Maskawa (CKM) matrix and study the numerical effects of several of them on the W-boson hadronic partial decay widths. We then use these results to evaluate the relative shifts on the CKM parameters |V_{ij}|^2 induced by the quark mixing renormalization effects, as well as their scheme dependence. We also discuss the implications of this analysis for the most precise unitarity test of the CKM matrix.