Quark mixing in the standard model and space rotations

G. Dattoli, K. Zhukovsky

Research output: Contribution to journalArticle

13 Citations (Scopus)


The rotation matrix and the Cabibbo-Kobayashi-Maskawa (CKM) matrix are discussed. The CKM matrix is viewed as the rotation matrix in Euler angles with pitch-roll-yaw convention for the angles and as the angle-axis representation of the rotation matrix. A comparison of the exponential parameterisation of the CKM matrix with the matrix exponent generator of the space rotations is made. How to account for the CP violating phase in CKM and the O(3) rotation matrix in the angle-axis form is discussed in the context of such a view of the mixing matrix. The generation of the new parameterisations of the CKM matrix in an exponential form with distinguished CP violating part is demonstrated. © 2007 Springer-Verlag / Società Italiana di Fisica.
Original languageEnglish
Pages (from-to)591 - 595
Number of pages5
JournalEuropean Physical Journal C
Issue number3
Publication statusPublished - Nov 2007
Externally publishedYes


All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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