Naturalness of CP violation in the standard model.
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.
Gibbons
Gary W
GW
Centre for Mathematical Sciences, Cambridge University, Cambridge, CB3 0WA, UK.
Gielen
Steffen
S
Pope
C N
CN
Turok
Neil
N