Naturalness ofCPViolation in the Standard Model

2008/10/31 by G. W. Gibbons, Gary W. Gibbons, Steffen Gielen +3 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevlett.102.121802

published as Phys.Rev.Lett.102:121802,2009 · 4 pages; corrected minor errors, added discussion of the work of Donoghue et al

arxiv created 2009/01/21 · openalex publication_date 2009/03/25 · arxiv updated 2010/04/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We construct a natural measure on the space of Cabibbo-Kobayashi-Maskawa matrices in the standard model, assuming the fermion mass matrices are randomly selected from a distribution which incorporates the observed quark mass hierarchy. This measure allows us to assess the likelihood of Jarlskog's CP violation parameter J taking its observed value J approximately 3 x 10(-5). We find that the observed value, while well below the mathematically allowed maximum, is in fact typical once the observed quark masses are assumed.

Citations

• Commutator of the Quark Mass Matrices in the Standard Electroweak Model and a Measure of MaximalCPNonconservation
• CP-Violation in the Renormalizable Theory of Weak Interaction

Cited by

• Some formulas for invariant phases of unitary matrices by Jarlskog
• Volume of the set of unistochastic matrices of order 3 and the mean Jarlskog invariant
• Grand Unified Yukawa Matrix Ansatz: The Standard Model Fermion Mass, Quark Mixing and CP Violation Parameters

Related

• First determination of the Jarlskog invariant of CP violation from the moduli of the CKM matrix elements
• On CP-violation and quark masses: reducing the number of free parameters
• The CKM Parameters
• Theoretical Origin of CP violation in the FCNC-free 2HDM and Its Extensions to the Standard Model and 3HDM
• CKM Matrix Elements: Magnitudes, Phases, Uncertainties