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Duque, Luis Fernando; Gutiérrez, Diego A.; Nardi, Enrico; Noreña, Jorge

doi:10.1103/physrevd.78.035003

Cited by 10 publications

(22 citation statements)

References 40 publications

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“…Higher-dimensional operators involving the Higgs representation 24 H have also been considered in [14]. The possible Clebsch factor 3/2 is mentioned there as well, however it has not been postulated as a GUT prediction.…”

Section: Predictions From Su (5) Unificationmentioning

confidence: 99%

New GUT predictions for quark and lepton mass ratios confronted with phenomenology

2009

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Group theoretical factors from GUT symmetry breaking can lead to predictions for the ratios of quark and lepton masses (or Yukawa couplings) at the unification scale. Due to supersymmetric (SUSY) threshold corrections the viability of such predictions can depend strongly on the SUSY parameters. For three common minimal SUSY breaking scenarios with anomaly, gauge and gravity mediation we investigate which GUT scale ratios m e /m d , m µ /m s , y τ /y b and y t /y b are allowed when phenomenological constraints from electroweak precision observables, B physics, (g − 2) µ , mass limits on sparticles from direct searches as well as, optionally, dark matter constraints are taken into account. We derive possible new predictions for the GUT scale mass ratios and compare them with the phenomenologically allowed ranges. We find that new GUT scale predictions such as m µ /m s = 9/2 or 6 and y τ /y b = 3/2 or 2 are often favoured compared to the ubiquitous relations m µ /m s = 3 or y τ /y b = 1. They are viable for characteristic SUSY scenarios, testable at the CERN LHC and future colliders.

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Section: Predictions From Su (5) Unificationmentioning

confidence: 99%

New GUT predictions for quark and lepton mass ratios confronted with phenomenology

2009

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“…We assume that at the fundamental level all the Yukawa couplings are universal, and that all the heavy messengers states carrying U or 10, 10, multiplets as is the case when the U (1) F breaking is triggered by singlet flavons [13,14].…”

Section: Outline Of Thementioning

confidence: 99%

“…In this case, under the additional assumption that at the fundamental level all the Yukawa couplings obey to some principle of universality [14], the order one coefficients that determine quantitatively the structure of the mass matrices become calculable. In this paper we will avoid all speculations concerning the fundamental physics that might underlie such a universality principle; we just take it as a convenient working hypothesis: turning off the 'noise' related to the usual incalculable order one Yukawa couplings allows to put in clear the role played by the calculable group theoretical coefficients that multiply all the relevant effective operators.…”

Section: Introductionmentioning

confidence: 99%

“…However, if the flavons that break the horizontal symmetry are assigned to the adjoint representation of SU (5) [13,14,15], charges that were forbidden in the singlet flavon case become allowed, under the assumption that certain representations for the Froggatt-Nielsen (FN) [16] messengers fields do not exist. In contrast to the non-unified…”

Section: Introductionmentioning

confidence: 99%

“…where the singlet nature of the flavons is mandatory, in SU (5) × U (1) F assigning the flavons to the adjoint has the additional bonus that non-trivial group theoretical coefficients concur to determine the coefficients of the effective operators [13,14,15]. In this case, under the additional assumption that at the fundamental level all the Yukawa couplings obey to some principle of universality [14], the order one coefficients that determine quantitatively the structure of the mass matrices become calculable.…”

Section: Introductionmentioning

confidence: 99%

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Neutrino masses in SU(5)×U(1) F with adjoint flavons

2012

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We present a SU (5) × U (1) F supersymmetric model for neutrino masses and mixings that implements the seesaw mechanism by means of the heavy SU (2) singlets and triplets states contained in three adjoints of SU (5). We discuss how Abelian U (1) F symmetries can naturally yield non-hierarchical light neutrinos even when the heavy states are strongly hierarchical, and how it can also ensure that R-parity arises as an exact accidental symmetry. By assigning two flavons that break U (1) F to the adjoint representation of SU (5) and assuming universality for all the fundamental couplings, the coefficients of the effective Yukawa and Majorana mass operators become calculable in terms of group theoretical quantities. There is a single free parameter in the model, however, at leading order the structure of the light neutrinos mass matrix is determined in a parameter independent way.

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Covert symmetries in the neutrino mass matrix

Björkeroth

Luzio

Mescia

et al. 2020

J. High Energ. Phys.

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The flavour neutrino puzzle is often addressed by considering neutrino mass matrices m with a certain number of vanishing entries (m ij = 0 for some values of the indices), since a reduction in the number of free parameters increases the predictive power. Symmetries that can enforce textures zero can also enforce a more general type of conditions f (m ij ) = 0 with f some function of the matrix elements m ij . In this case m can have all entries non-vanishing with no reduction in its predictive power. We classify all generationdependent U (1) symmetries which, in the presence of two leptonic Higgs doublets, can reduce the number of independent high-energy parameters of type-I seesaw to the minimum number compatible with non-vanishing neutrino mixings and CP violation. These symmetries are broken above the scale where the effective operator is generated and can thus remain covert, in the sense that no explicit evidence of the symmetry can be read off the neutrino mass matrix, and different symmetries can give rise to the same low-energy structure. We find that only two cases are viable: one yields a structure with two zerotextures already considered in the literature, the other has no zero-textures and has never been considered before. It predicts normal ordering, a lightest neutrino mass ∼ 10 meV, a Dirac phase δ ∼ 3π 2 and definite values for the Majorana phases.

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Fermion mass hierarchy and nonhierarchical mass ratios inSU(5)×U(1)F

Cited by 10 publications

References 40 publications

New GUT predictions for quark and lepton mass ratios confronted with phenomenology

New GUT predictions for quark and lepton mass ratios confronted with phenomenology

Neutrino masses in SU(5)×U(1) F with adjoint flavons

Covert symmetries in the neutrino mass matrix

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