Wolfenstein Parametrization at Higher Order: Seeming Discrepancies and Their Resolution

Abstract

In different Wolfenstein parametrizations derived from different exact parametrizations of the Cabibbo-Kobayashi-Maskawa matrix, we explicitly study seeming discrepancies between the matrix elements at the higher order of the expansion parameter $\lambda$. A systematic way of resolving the seeming discrepancies is proposed. We find that most of the discrepancies can be naturally resolved by a proper redefinition of the numerically small (of order $\lambda$) parameters. Our approach is further applied to the cases for the Wolfenstein-{\it like} parametrizations, such as the Qin-Ma parametrization.

5 pages, two paragraphs added to explain the motivation for considering various Wolfenstein-like parametrizations; version to appear in PLB

References in corpus (3)

• Parametrization of fermion mixing matrices in Kobayashi-Maskawa form
• A new simple form of quark mixing matrix
• Remarks on the Qin-Ma Parametrization of Quark Mixing Matrix

Cited by in corpus (13)

• On CP Asymmetries in Two-, Three- and Four-Body D Decays
• Second Generation of 'Miranda Procedure' for CP Violation in Dalitz Studies of B (\& D \& τ) Decays
• CP Asymmetries in Strange Baryon Decays
• Prospects for CP & P violation in ${\Lambda }_c^{+}$ decay at STCF
• Compact model for Quarks and Leptons via flavored-Axions
• "Could Charm (\& $\tau$) Transitions be the `Poor Princesses' of Deeper Understanding of Fundamental Dynamics?" -- or -- "Finding Novel Forces?"
• Recent Developments on the CKM Matrix
• Global CKM Fits with the Scan Method
• The $\alpha$, $\beta$ and $\gamma$ parameterizations of CP violating CKM phase
• The $\beta$ angle as the CP violating phase in the CKM matrix
• Study of CP Violation in $D^{\pm }\to K^{\ast }(892{)}^0{\pi }^{\pm }+{\bar{K}}^{\ast }(892{)}^0{\pi }^{\pm }\to K_{S,L}^0{\pi }^0{\pi }^{\pm }$ Decays
• QCD axion and Neutrino induced by Hidden flavor structure
• Model-Independent Analysis of CP Violation in Charmed Meson Decays