Naturalness of CP violation in the standard model. Academic Article uri icon


  • 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.

published proceedings

  • Phys Rev Lett

author list (cited authors)

  • Gibbons, G. W., Gielen, S., Pope, C. N., & Turok, N.

citation count

  • 10

complete list of authors

  • Gibbons, Gary W||Gielen, Steffen||Pope, CN||Turok, Neil

publication date

  • March 2009