High Energy Physics - Phenomenology
[Submitted on 9 Mar 2016 (v1), last revised 17 Jun 2016 (this version, v2)]
Title:The leptonic CP phase is determined by an equation involving the PMNS matrix elements
View PDFAbstract:Several approximate equalities among the matrix elements of CKM and PMNS imply that hidden symmetries may exist and be common for both quark and neutrino sectors. The CP phase of the CKM matrix ($\delta_{\rm CKM}$) is involved in these equalities and can be investigated when these equalities turn into several equations. As we substitute those experimentally measured values of the three mixing angles into the equations for quarks, it is noted that one of the equations which holds exactly has a solution $\delta_{\rm CKM}=68.95^\circ$. That value accords with $(69.1^{+2.02}_{-3.85})^\circ$ determined from available data. Generalizing the scenario to the lepton sector, the same equality determines the leptonic CP phase $\delta_{\rm PMNS}$ to be $ 276.10^\circ$. Thus we predict the value of $\delta_{\rm PMNS}$ from the equation. So far there is no direct measurement on $\delta_{\rm PMNS}$ yet, but a recent analysis based on the neutrino oscillation data prefers the phase close to $270^\circ$.
Submission history
From: HongWei Ke [view email][v1] Wed, 9 Mar 2016 02:49:30 UTC (165 KB)
[v2] Fri, 17 Jun 2016 10:21:44 UTC (165 KB)
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