Anomalous U(1) and low-energy physics: The power of D-flatness and holomorphy

Binétruy, P.; Irges, Nikolaos; Ramond, Pierre; Lavignac, Stéphane

doi:10.2172/448073

Cited by 15 publications

(37 citation statements)

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“…In previous works, it was pointed out how the Weinberg angle is related to the hierarchy [8,9] and that the seesaw mechanism implies R-parity conservation [12]. Below we present a model in which all of these features are satisfied.…”

Section: Effective Low Energy Theories With Greenschwarz Anomaliesmentioning

confidence: 84%

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A model of Yukawa hierarchies

1997

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We present a model for the observed hierarchies among the Yukawa couplings of the standard model in the context of an effective low energy theory with an anomalous U (1) symmetry. This symmetry, a generic feature of superstring compactification, is a remnant of the Green-Schwarz anomaly cancellation mechanism. The gauge group is that of the standard model, augmented by X, the anomalous U (1), and two family-dependent phase symmetries Y(1) and Y (2) . The correct hierarchies are reproduced only when sin 2 θ w = 3/8 at the cut-off. To cancel anomalies, right-handed neutrinos and other standard model singlets must be introduced. Independently of the charges of the right-handed neutrinos, this model produces the same neutrino mixing matrix and an inverted hierarchy of neutrino masses. The heaviest is the electron neutrino with a mass ∼ 1 meV, and mixing of the order of λ 3 c with each of the other two neutrinos.

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Section: Effective Low Energy Theories With Greenschwarz Anomaliesmentioning

confidence: 84%

“…(3.43) Their X charges insure, through the seesaw mechanism, R-parity conservation [12]. We also introduce four additional standard model singlets to cancel the remaining anomalies:…”

Section: The Modelmentioning

confidence: 99%

A model of Yukawa hierarchies

1997

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“…In previous works [9,10], based on SO(10) and on the Froggatt-Nielsen (FN) approach [11] to masses and mixings, we anticipated, before the SuperKamiokande data, one large mixing angle between the second and third family neutrinos in the MNS matrix, and two small mixing angles from the first to the second and third family neutrinos. The recent data on solar neutrinos proved otherwise: the MNS matrix contains two large mixing angles, and only one small one.…”

Section: Introductionmentioning

confidence: 93%

“…However, in order to obtain from this pattern the second large angle, this matrix must contain two zero eigenvalues, that is the sub-determinant must vanish. This type of matrix has been used as a starting point for the Froggatt-Nielsen approach, with corrections of the order of the Cabibbo angle in previous works [10,16], and it can lead to a second large mixing angle only if the sub-determinant is very small [16,17,18]. If the sub-determinant is not small, non-degenerate perturbation theory applies and the solar neutrino mixing angle comes out small [19].…”

Section: Constraint) This Enables Us To Writementioning

confidence: 99%

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Correlated hierarchy, Dirac masses and large mixing angles

2003

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We introduce a new parametrization of the MNS lepton mixing matrix which separates the hierarchical Grand Unified relations among quarks and leptons. We argue that one large angle stems from the charged leptons, the other from the seesaw structure of the neutral lepton mass matrix. We show how two large mixing angles can arise naturally provided there are special requirements on the Dirac (∆I w = 1/2) and Majorana (∆I w = 0) masses. One possibility is a correlated hierarchy between them, the other is that the ∆I w = 0 Majorana mass has a specific texture; it is Dirac-like for two of the three families.

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The Case for a Standard Model with Anomalous U(1)

Ramond

Physics of Mass

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A gauged phase symmetry with its anomalies cancelled by a Green-Schwarz mechanism, broken at a large scale by an induced Fayet-Iliopoulos term, is a generic feature of a large class of superstring theories. It induces many desirable phenomenological features: Yukawa coupling hierarchy, the emergence of a small Cabibbo-like expansion parameter, relating the Weinberg angle to b − τ unification, and the linking of R-parity conservation to neutrino masses. Some are discussed in the context of a three-family model which reproduces all quark and lepton mass hierarchies as well as the solar and atmospheric neutrino oscillations.

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Anomalous U(1) and low-energy physics: The power of D-flatness and holomorphy

Cited by 15 publications

References 0 publications

A model of Yukawa hierarchies

A model of Yukawa hierarchies

Correlated hierarchy, Dirac masses and large mixing angles

The Case for a Standard Model with Anomalous U(1)

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