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APS » Journals » Phys. Rev. Lett. » Volume 102 » Issue 12
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Phys. Rev. Lett. 102, 121802 (2009) [4 pages]

Naturalness of CP Violation in the Standard Model

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Gary W. Gibbons1, Steffen Gielen1, C. N. Pope1,2, and Neil Turok1,3
1DAMTP, Centre for Mathematical Sciences, Cambridge University, Wilberforce Road, Cambridge, CB3 0WA, United Kingdom
2George P. & Cynthia W. Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M University, College Station, Texas 77843-4242, USA
3Perimeter Institute for Theoretical Physics, 31 Caroline Street N., Waterloo, Ontario, Canada N2L 2Y5

Received 1 November 2008; published 25 March 2009

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≈3×10-5. We find that the observed value, while well below the mathematically allowed maximum, is in fact typical once the observed quark masses are assumed.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.102.121802
DOI:
10.1103/PhysRevLett.102.121802
PACS:
12.15.Hh, 11.30.Er, 12.10.−g, 12.15.Ff
 
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