Chiral SU4 × SU4 symmetry breaking and the Cabibbo angle

Ebrahim, A.

doi:10.1016/0370-2693(77)90650-5

Cited by 8 publications

(1 citation statement)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The singular values of the diagonal matrix D f in Eq. (7) are to be identified with the measured fermion masses (see A). An interesting and not yet exploited fact is that the observed hierarchies in the masses (singular values) can be used to approximate the original mass matrices by lower-rank matrices as stated in the Schmidt-Mirsky approximation theorem [53][54][55][56].…”

Section: The Double Mass Hierarchy Pattern (Dmhp)mentioning

confidence: 99%

The double mass hierarchy pattern: Simultaneously understanding quark and lepton mixing

Hollik

Salazar

2015

Nuclear Physics B

View full text Add to dashboard Cite

The charged fermion masses of the three generations exhibit the two strong hierarchies m 3 m 2 m 1 . We assume that also neutrino masses satisfy m ν3 > m ν2 > m ν1 and derive the consequences of the hierarchical spectra on the fermionic mixing patterns. The quark and lepton mixing matrices are built in a general framework with their matrix elements expressed in terms of the four fermion mass ratios, m u /m c , m c /m t , m d /m s and m s /m b , and m e /m μ , m μ /m τ , m ν1 /m ν2 and m ν2 /m ν3 , for the quark and lepton sector, respectively. In this framework, we show that the resulting mixing matrices are consistent with data for both quarks and leptons, despite the large leptonic mixing angles. The minimal assumption we take is the one of hierarchical masses and minimal flavor symmetry breaking that strongly follows from phenomenology. No special structure of the mass matrices has to be assumed that cannot be motivated by this minimal assumption. This analysis allows us to predict the neutrino mass spectrum and set the mass of the lightest neutrino well below 0.01 eV. The method also gives the 1σ allowed ranges for the leptonic mixing matrix elements. Contrary to the common expectation, leptonic mixing angles are found to be determined solely by the four leptonic mass ratios without any relation to symmetry considerations as commonly used in flavor model building. Still, our formulae can be used to build up a flavor model that predicts the observed hierarchies in the masses -the mixing follows then from the procedure which is developed in this work.

show abstract

Section: The Double Mass Hierarchy Pattern (Dmhp)mentioning

confidence: 99%

The double mass hierarchy pattern: Simultaneously understanding quark and lepton mixing

Hollik

Salazar

2015

Nuclear Physics B

View full text Add to dashboard Cite

show abstract

Hierarchy spectrum of SM fermions: from top quark to electron neutrino

Xue

2016

J. High Energ. Phys.

View full text Add to dashboard Cite

In the SM gauge symmetries and fermion content of neutrinos, charged leptons and quarks, we study the effective four-fermion operators of Einstein-Cartan type and their contributions to the Schwinger-Dyson equations of fermion self-energy functions. The study is motivated by the speculation that these four-fermion operators are probably originated due to the quantum gravity that provides the natural regularization for chiral-symmetric gauge field theories. In the chiral-gauge symmetry breaking phase, as to achieve the energetically favorable ground state, only the top-quark mass is generated via the spontaneous symmetry breaking, and other fermion masses are generated via the explicit symmetry breaking induced by the top-quark mass, four-fermion interactions and fermion-flavor mixing matrices. A phase transition from the symmetry breaking phase to the chiral-gauge symmetric phase at TeV scale occurs and the drastically fine-tuning problem can be resolved. In the infrared fixed-point domain of the four-fermion coupling for the SM at low energies, we qualitatively obtain the hierarchy patterns of the SM fermion Dirac masses, Yukawa couplings and family-flavor mixing matrices with three additional right-handed neutrinos $\nu^f_R$. Large Majorana masses and lepton-symmetry breaking are originated by the four-fermion interactions among $\nu^f_R$ and their left-handed conjugated fields $\nu^{fc}_R$. Light masses of gauged Majorana neutrinos in the normal hierarchy ($10^{-5}-10^{-2}$ eV) are obtained consistently with neutrino oscillations. We present some discussions on the composite Higgs phenomenology and forward-backward asymmetry of $t\bar t$-production, as well as remarks on the candidates of light and heavy dark matter particles (fermions, scalar and pseudoscalar bosons).Comment: In this article, the study of the third fermion family (arXiv1506.05994 PRD93, 073001 (2016)) is generalized to the three fermion families. This is an updated version 52 pages, 8 Figures and 2 table

show abstract

Chiral SU5 × SU5 symmetry breaking, cabibbo angle, and the mass scale of the beautiful pseudoscalar mesons

Ebrahim

1977

Physics Letters B

View full text Add to dashboard Cite

Chiral SU4 × SU4 symmetry breaking and the Cabibbo angle

Cited by 8 publications

References 6 publications

The double mass hierarchy pattern: Simultaneously understanding quark and lepton mixing

The double mass hierarchy pattern: Simultaneously understanding quark and lepton mixing

Hierarchy spectrum of SM fermions: from top quark to electron neutrino

Chiral SU5 × SU5 symmetry breaking, cabibbo angle, and the mass scale of the beautiful pseudoscalar mesons

Contact Info

Product

Resources

About