Unifying CP violations of quark and lepton sectors

Abstract

A preliminary determination of the Dirac phase in the PMNS matrix is $\dell\approx -\fracπ{2}$. A rather accurately determined Jarlskog invariant $J$ in the CKM matrix is close to the maximum. Since the phases in the CKM and PMNS matrices will be accurately determined in the future, it is an interesting problem to relate these two phases. This can be achieved in a families-unified grand unification if the weak CP violation is introduced spontaneously {\it à la} Froggatt and Nielsen at a high energy scale, where only one meaningful Dirac CP phase appears.

10 pages with 3 figures

References in corpus (9)

• Big-Bang Nucleosynthesis
• Neutrino oscillations refitted
• Dark matter production in the early Universe: beyond the thermal WIMP paradigm
• Fermion Masses and Mixings from Dihedral Flavor Symmetries with Preserved Subgroups
• Flipped SU(5) from Z_{12-I} orbifold with Wilson line
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Cited by in corpus (8)

• Spontaneous CP Violation in Lepton-sector: a common origin for ${\theta }_{13}$, Dirac CP phase and leptogenesis
• A possible relation between leptogenesis and PMNS phases
• Theory of flavors: String compactification
• Fate of global symmetries in the Universe: QCD axion, quintessential axion and trans-Planckian inflaton decay-constant
• Flavor mixing inspired by flipped SU(5) GUT
• Leptonic CP violation in flipped SU(5) GUT from $Z_{12-I}$ Orbifold Compactification
• Nearly right unitarity triangle and CP phase in quark and lepton flavor mixings
• Strong CP problem, axions, and cosmological implications of CP violation