"PH" Stands for Political Hypocrisy

Davidson, Cathy N.

doi:10.2307/40250218

Cited by 22 publications

(26 citation statements)

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“…44 as function of 18 free effective parameters (remembering the constraint on η) that will fix all the fermion masses and mixing angles, including RHN Majorana masses and Majorana phases. This compares favourably to the 31 parameters of a general high energy model, comprising 21 parameters in the lepton sector of a general 3 right-handed neutrino seesaw model [31], plus the 6 quark masses and 4 CKM parameters. However, below the seesaw scale of right-handed neutrino masses, the effective parameter counting is different again and requires further discussion below.…”

Section: Parameter Countingmentioning

confidence: 77%

Erratum to: SO(10) × S 4 grand unified theory of flavour and leptogenesis

Anda

King

Perdomo

2019

J. High Energ. Phys.

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We propose a Grand Unified Theory of Flavour, based on SO(10) together with a non-Abelian discrete group S 4 , under which the unified three quark and lepton 16plets are unified into a single triplet 3 . The model involves a further discrete group Z R 4 ×Z 3 4 which controls the Higgs and flavon symmetry breaking sectors. The CSD2 flavon vacuum alignment is discussed, along with the GUT breaking potential and the doublet-triplet splitting, and proton decay is shown to be under control. The Yukawa matrices are derived in detail, from renormalisable diagrams, and neutrino masses emerge from the type I seesaw mechanism. A full numerical fit is performed with 15 input parameters generating 19 presently constrained observables, taking into account supersymmetry threshold corrections. The model predicts a normal neutrino mass ordering with a CP oscillation phase of 260 • , an atmospheric angle in the first octant and neutrinoless double beta decay with m ββ = 11 meV. We discuss N 2 leptogenesis, which fixes the second right-handed neutrino mass to be M 2 2 × 10 11 GeV, in the natural range predicted by the model.

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Section: Parameter Countingmentioning

confidence: 77%

Erratum to: SO(10) × S 4 grand unified theory of flavour and leptogenesis

Anda

King

Perdomo

2019

J. High Energ. Phys.

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“…We refer also to Refs. (25,44,45,55,56) for other connections to diffusion and statistical mechanics and to Refs. (18,58) for origins via a conjectured fractal nature of spacetime (there are also many other references in Ref.…”

Section: Remark 32mentioning

confidence: 99%

Information, Quantum Mechanics, and Gravity

Carroll

2005

Found Phys

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“…In this work we have shown that these bounds are misleading unless we indicate the basis in which we are working. We advocated, following [3], the use of basis independent parameters which clearly show the magnitude of R-parity violating effects. As an application we have derived experimental constraints on ν τ vev from Z ⇒ bb, double beta decay and the bounds on ν e mass.…”

Section: Discussionmentioning

confidence: 99%

“…In ref. [3] it was shown that some invariants are useful in obtaining cosmological bounds on R-parity violating effects. We will show that the R-parity violating invariant variables sin ζ and sin γ are very useful to study the ν τ mass and the R-parity violating effects in general in the fermionic sector, while sin χ is appropiate for studying for instance the phenomenology of the process Z ⇒ bb.…”

Section: Basis For R-parity Invariantsmentioning

confidence: 99%

“…The existing phenomenological studies of explicit R-parity breaking have so far concentrated on exploring the effects of the trilinear and the bilinear terms separately. In this paper we study both together following a basis independent approach to parametrize the R-parity violating effects [1][2][3]. It has been pointed out that it is not possible to eliminate completely the effects of the bilinear terms by simply redefining fields [4][5][6][7], and so any complete study should include all possible R-parity violating terms.…”

Section: Introductionmentioning

confidence: 99%

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Basis independent study of supersymmetry withoutRparity and the tau neutrino mass

Ferrandis

1999

Phys. Rev. D

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In the most general R-parity violating model, including both bilinear and trilinear terms, the sneutrino receives a vacuum expectation value, < ν >. We investigate the constraints on < ν > following a basis independent approach, highlighting the relations between the three most popular basis. We study the prediction for the tau neutrino mass which follows from the minimization of the scalar potential in a SUGRA model with universality of the soft parameters at the GUT scale. Finally we show that the tau neutrino mass controls the R-parity violating effects both in the fermionic and scalar sectors.

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"PH" Stands for Political Hypocrisy

Cited by 22 publications

References 0 publications

Erratum to: SO(10) × S 4 grand unified theory of flavour and leptogenesis

Erratum to: SO(10) × S 4 grand unified theory of flavour and leptogenesis

Information, Quantum Mechanics, and Gravity

Basis independent study of supersymmetry withoutRparity and the tau neutrino mass

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