Texture zeros and hierarchical masses from flavour (mis)alignment

Hollik, W.; Saldaña-Salazar, U. J.

doi:10.1016/j.nuclphysb.2018.01.030

Cited by 6 publications

(3 citation statements)

References 32 publications

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“…(267). But it is found that only the following four-zero textures of quark mass matrices is phenomenologically favored [474,680,735,736,737,738,739,740,741,742]:…”

Section: Four-and Five-zero Quark Flavor Texturesmentioning

confidence: 99%

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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“…(267). But it is found that only the following four-zero textures of quark mass matrices is phenomenologically favored [474,680,735,736,737,738,739,740,741,742]:…”

Section: Four-and Five-zero Quark Flavor Texturesmentioning

confidence: 99%

Flavor structures of charged fermions and massive neutrinos

Xing

2019

Preprint

116

View full text Add to dashboard Cite

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“…However, as noted above, recent reactor neutrino experiments [2][3][4] have indicted that the U e3 matrix element deviates sizably from zero jU e3 j ≈ 0.15. Modified models that produce sizable corrections to the mixing parameters have been proposed, but often require more complicated models involving nonvanishing higher order contributions [6], soft A 4 symmetry breaking terms [7], misalignment of mass matrix elements [8], or larger symmetry groups than A 4 (e.g., T 0 ; Δð6 × 10 2 Þ; ðZ 18 × Z 6 Þ⋊S 3 ; T 13 ) [9][10][11][12]. Here we propose a minimal modification to the Alteralli A 4 model by considering an additional Dirac mass term allowed by A 4 symmetry contractions that are also allowed by the other symmetries assumed in the model.…”

Section: Altarelli-feruglio a 4 Modelmentioning

confidence: 99%

Minimally modified A4 Altarelli-Feruglio model for neutrino masses and mixings and its experimental consequences

Lei

Wells

2020

Phys. Rev. D

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We present a simple modification of the Altarelli-Feruglio A 4 flavor symmetry model using a minimal number of parameters congruous with the symmetries of the original theory. The resulting model is consistent with all presently known data on neutrino masses and mixings. Furthermore, it makes testable tight predictions for future experiments aimed at improving the measurements of sin 2 θ 12 , sin 2 θ 13 , δ CP and the neutrinoless double-beta decay parameter jm ee j. Our model exploits the unique possibility of multiple allowed, yet qualitatively different, contractions of fields charged under the A 4 discrete symmetry.

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“…(19): null matrix elements, M ij = 0, and relations among matrix elements, M ij = M kl . Both requirements can be met by several approaches, for example, texture-zeros [26,29,[35][36][37][38][39][40], flavour symmetries [41], reinterpretation of the fermion mass matrix elements [42], among others.…”

Section: General Aspectsmentioning

confidence: 99%

The mass ratios parametrization

Saldaña-Salazar

Tame-Narvaez

2019

Int. J. Mod. Phys. A

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The observed hierarchy in the fermion masses, which imply a set of small mass ratios, is not naturally small regarding 't Hooft's criteria. In this work, in a model independent approach, we introduce a set of conditions by which fermion mass ratios become natural. Interestingly, these conditions demand that fermion mixing should be described by the four independent mass ratios of each fermion sector. Application of this set of conditions to the standard theory enables one to understand the mains aspects in quark and lepton mixing. This feature can be taken as a strong evidence for the existence in Nature of a flavour symmetry. Also, for this analysis to work in the lepton sector, neutrino masses should have normal ordering with the lightest neutrino mass satisfying the lower bound, m ν1 (5.0 ± 0.1) meV, making the approach testable.

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Texture zeros and hierarchical masses from flavour (mis)alignment

Cited by 6 publications

References 32 publications

Flavor structures of charged fermions and massive neutrinos

Flavor structures of charged fermions and massive neutrinos

Minimally modified A4 Altarelli-Feruglio model for neutrino masses and mixings and its experimental consequences

The mass ratios parametrization

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