English

Jarlskog determinant and data on flavor matrices

High Energy Physics - Phenomenology 2020-09-09 v3

Abstract

The essences of the weak CP violation, the quark and lepton Jarlskog invariants, are determined toward future model buildings beyond the Standard Model (SM). The equivalence of two calculations of Jarlskog invariants gives a bound on the CP phase in some parametrization. Satisfying the unitarity condition, we obtain the CKM and MNS matrices from the experimental data, and present the results in matrix forms. The Jarlskog determinant JqJ^q in the quark sector is found to be 3.11×105sin\delks\sim 3.11\times 10^{-5}|\sin\delks| while JJ^\ell in the leptonic sector is 2.96×102sin\delksl\sim 2.96\times 10^{-2}|\sin\delksl| in the normal hierarchy parametrization.

Cite

@article{arxiv.1907.12247,
  title  = {Jarlskog determinant and data on flavor matrices},
  author = {Jihn E. Kim and Se-Jin Kim and Soonkeon Nam and Myungbo Shim},
  journal= {arXiv preprint arXiv:1907.12247},
  year   = {2020}
}

Comments

10 pages, 3 figures

R2 v1 2026-06-23T10:33:26.869Z