English

Naturalness of CP Violation in the Standard Model

High Energy Physics - Phenomenology 2010-04-15 v2 High Energy Physics - Theory

Abstract

We construct a natural measure on the space of CKM matrices in the standard model, assuming the fermion mass matrices are randomly selected from a distribution which fits 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 \approx 3 x 10^{-5}. While well below the mathematically allowed maximum, we find that this value is in fact typical, once the observed quark masses are assumed.

Keywords

Cite

@article{arxiv.0810.4368,
  title  = {Naturalness of CP Violation in the Standard Model},
  author = {Gary W. Gibbons and Steffen Gielen and C. N. Pope and Neil Turok},
  journal= {arXiv preprint arXiv:0810.4368},
  year   = {2010}
}

Comments

4 pages; corrected minor errors, added discussion of the work of Donoghue et al