Dirac leptonic angle matrix versus Majorana leptonic angle matrix and their renormalization group running behaviors

Luo, Shu

doi:10.1103/physrevd.85.013006

Cited by 13 publications

(4 citation statements)

References 61 publications

(45 reference statements)

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“…whose elements satisfy the simple sum rules φ α1 + φ α2 + φ α3 = φ ei + φ µi + φ τi = π (for α = e, µ, τ and i = 1, 2, 3) [460]. Note that all the nine φ αi are rephasing-invariant, and hence they are independent of the two Majorana phases of U.…”

Section: The Pmns Unitarity Triangles Of Leptonsmentioning

confidence: 99%

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Flavor structures of charged fermions and massive neutrinos

Xing

2019

Preprint

116

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Most of the free parameters in the Standard Model (SM) -a quantum field theory which has successfully elucidated the behaviors of strong, weak and electromagnetic interactions of all the known fundamental particles, come from the lepton and quark flavors. The discovery of neutrino oscillations has proved that the SM is incomplete, at least in its lepton sector; and thus the door of opportunity is opened to exploring new physics beyond the SM and solving a number of flavor puzzles. In this review article we give an overview of important progress made in understanding the mass spectra, flavor mixing patterns, CP-violating effects and underlying flavor structures of charged leptons, neutrinos and quarks in the past twenty years. After introducing the standard pictures of fermion mass generation, flavor mixing and CP violation in the SM extended with the presence of massive Dirac or Majorana neutrinos, we briefly summarize current experimental knowledge about the flavor parameters of quarks and leptons. Various ways of describing flavor mixing and CP violation are discussed, the renormalization-group evolution of flavor parameters is illuminated, and the matter effects on neutrino oscillations are interpreted. Taking account of possible extra neutrino species, we propose a standard parametrization of the 6 × 6 flavor mixing matrix and comment on the phenomenological aspects of heavy, keV-scale and light sterile neutrinos. We pay particular attention to those novel and essentially model-independent ideas or approaches regarding how to determine the Yukawa textures of Dirac fermions and the effective mass matrix of Majorana neutrinos, including simple discrete and continuous flavor symmetries. An outlook to the future development in unravelling the mysteries of flavor structures is also given.

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Section: The Pmns Unitarity Triangles Of Leptonsmentioning

confidence: 99%

“…The nine elements in the three rows of ψ satisfy the sum rules ψ α1 + ψ α2 + ψ α3 = 0 (for α = e, µ, τ) [458,460], but those in the three columns do not have a definite correlation. This observation means that the number of independent parameters in ψ is six instead of four.…”

Section: The Pmns Unitarity Triangles Of Leptonsmentioning

confidence: 99%

Flavor structures of charged fermions and massive neutrinos

Xing

2019

Preprint

116

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“…The general bounds we obtain do not depend on the neutrino mixing parameters or any experimental input. Especially, we will use leptonic unitarity triangles (LUTs) [37][38][39][40][41][42][43][44][45][46][47][48][49][50] as geometrical means to derive such universal constraints, which turn out to be highly nontrivial. The unitarity bounds are important, because any violation of these bounds would call for new physics, such as active-sterile neutrino mixing, neutrino decays, pseudo-Dirac neutrinos, or other exotic effects [51][52][53][54][55][56][57].…”

Section: Introductionmentioning

confidence: 99%

Constraining astrophysical neutrino flavor composition from leptonic unitarity

Rodejohann

2014

J. Cosmol. Astropart. Phys.

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The recent IceCube observation of ultra-high-energy astrophysical neutrinos has begun the era of neutrino astronomy. In this work, using the unitarity of leptonic mixing matrix, we derive nontrivial unitarity constraints on the flavor composition of astrophysical neutrinos detected by IceCube. Applying leptonic unitarity triangles, we deduce these unitarity bounds from geometrical conditions, such as triangular inequalities. These new bounds generally hold for three flavor neutrinos, and are independent of any experimental input or the pattern of leptonic mixing. We apply our unitarity bounds to derive general constraints on the flavor compositions for three types of astrophysical neutrino sources (and their general mixture), and compare them with the IceCube measurements. Furthermore, we prove that for any sources without ν τ neutrinos, a detected ν µ flux ratio < 1/4 will require the initial flavor composition with more ν e neutrinos than ν µ neutrinos.

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“…(3) The nine inner angles of the three effective Dirac UTs in matter can be defined as [44], where the Greek and Latin subscripts keep their cyclic running over (e, µ, τ ) and (1, 2, 3), respectively. Taking the T2K and NOνA experiments for example, we calculate these inner angles and list the numerical results in Table 2, where the best-fit values of six neutrino oscillation parameters shown in Table 1 have been input.…”

Section: The Matter-deformed Unitarity Trianglesmentioning

confidence: 99%

Analytical approximations for matter effects on CP violation in the accelerator-based neutrino oscillations with E ≲ 1 GeV

Zhang

Zhu

2016

J. High Energ. Phys.

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Given an accelerator-based neutrino experiment with the beam energy E 1 GeV, we expand the probabilities of ν µ → ν e and ν µ → ν e oscillations in matter in terms of two small quantities ∆ 21 /∆ 31 and A/∆ 31 , where ∆ 21 ≡ m 2 2 −m 2 1 and ∆ 31 ≡ m 2 3 −m 2 1 are the neutrino mass-squared differences, and A measures the strength of terrestrial matter effects. Our analytical approximations are numerically more accurate than those made by Freund in this energy region, and thus they are particularly applicable for the study of leptonic CP violation in the low-energy MOMENT, ESSνSM and T2K oscillation experiments. As a by-product, the new analytical approximations help us to easily understand why the matter-corrected Jarlskog parameter J peaks at the resonance energy E * 0.14 GeV (or 0.12 GeV) for the normal (or inverted) neutrino mass hierarchy, and how the three Dirac unitarity triangles are deformed due to the terrestrial matter contamination. We also affirm that a medium-baseline neutrino oscillation experiment with the beam energy E lying in the E * E 2E * range is capable of exploring leptonic CP violation with little matter-induced suppression.

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Dirac leptonic angle matrix versus Majorana leptonic angle matrix and their renormalization group running behaviors

Cited by 13 publications

References 61 publications

Flavor structures of charged fermions and massive neutrinos

Flavor structures of charged fermions and massive neutrinos

Constraining astrophysical neutrino flavor composition from leptonic unitarity

Analytical approximations for matter effects on CP violation in the accelerator-based neutrino oscillations with E ≲ 1 GeV

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