Modular-invariant anomalous U(1) breaking

Gaillard, Mary K.; Giedt, Joel

doi:10.1016/s0550-3213(02)00434-0

Cited by 12 publications

(16 citation statements)

References 33 publications

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“…Then these VEVs would be much larger since typically (Λ X /m pl ) ∼ 1/10 and an electroweak-scale µ term would require an operator of rather large dimension. For anomalous U (1) breaking we expect the combination of fields cancelling the Fayet-Illiopoulos term to preserve modular invariance [29]. Therefore the canonically normalized effective µ term is given by…”

Section: A First Approach: Weakly Coupled Heterotic String Theorymentioning

confidence: 99%

Re-examination of electroweak symmetry breaking in supersymmetry and implications for light superpartners

et al. 2003

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We examine arguments that could avoid light superpartners as an implication of supersymmetric radiative electroweak symmetry breaking. We argue that, from the point of view of string theory and standard approaches to generating the µ term, cancellations among parameters are not a generic feature. While the coefficients relating M Z to parameters in the soft supersymmetry breaking Lagrangian can be made smaller, these same mechanisms lead to lighter superpartner masses at the electroweak scale. Consequently we strengthen the implication that gluinos, neutralinos, and charginos are light and likely to be produced at the Fermilab Tevatron and a linear collider.

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Section: A First Approach: Weakly Coupled Heterotic String Theorymentioning

confidence: 99%

Re-examination of electroweak symmetry breaking in supersymmetry and implications for light superpartners

et al. 2003

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“…Note that we have only considered the case with X-Higgses charged solely under U(1) X . The analogous vacuum selection which occurs for the more general case of X-Higgses charged under several factors of the gauge group will be considered elsewhere [8].…”

Section: Effective Scalar Potentialmentioning

confidence: 96%

“…MKG has found ways to: consistently fix to unitary gauge (not an easy task with dynamical string moduli); preserve manifest target-space modular invariance; effectively include tree-level exchange of heavy multiplets in the general case of many fields and U(1)'s. The machinery is forthcoming [8].…”

Section: Scopementioning

confidence: 99%

D-Moduli Stabilization

Giedt

2003

String Phenomenology

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The matter sector of four-dimensional effective supergravity models obtained from the weakly coupled heterotic string contains many moduli. In particular, flat directions of the D-term part of the scalar potential in the presence of an anomalous U(1) give rise to massless chiral multiplets which have been referred to elsewhere as Dmoduli. The stabilization of these moduli is necessary for the determination of the large vacuum expectation values of complex scalar fields induced by the corresponding Fayet-Illiopoulos term. This stabilization is of phenomenological importance since these background values determine the effective theory below the scale of the anomalous U(1) symmetry breaking. In some simple models we illustrate the stabilization of these moduli due to the nonperturbative dynamics associated with gaugino condensation in a hidden sector. We find that background field configurations which are stable above the condensation scale no longer represent global minima once dynamical supersymmetry breaking occurs. The implications for low energy models based on promising "flat" directions are discussed.

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“…In Section 4.1 we illustrate the procedure for integrating out the massive vector supermultiplet while preserving manifest local supersymmetry and T-duality in the lower energy effective theory using a toy model 156 with just one broken gauge symmetry, U (1) X , and just one complex scalar vev; in Section 4.2 we include hidden sector gaugino condensation in this toy model. Since the linear multiplet formalism for the dilaton is by far better suited to addressing these questions, we will use it in these two sections, and impose further that the modified linearity condition (42) remain true in the effective theory below the U (1) X breaking scale.…”

Section: Inclusion Of Anomalous U(1)'smentioning

confidence: 99%

Kähler Stabilized, Modular Invariant Heterotic String Models

Gaillard

Nelson

2007

Int. J. Mod. Phys. A

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We review the theory and phenomenology of effective supergravity theories based on orbifold compactifications of the weakly-coupled heterotic string. In particular, we consider theories in which the four-dimensional theory displays target space modular invariance and where the dilatonic mode undergoes Kähler stabilization. A self-contained exposition of effective Lagrangian approaches to gaugino condensation and heterotic string theory is presented, leading to the development of the models of Binétruy, Gaillard and Wu. Various aspects of the phenomenology of this class of models are considered. These include issues of supersymmetry breaking and superpartner spectra, the role of anomalous U (1) factors, issues of flavor and R-parity conservation, collider signatures, axion physics, and early universe cosmology. For the vast majority of phenomenological considerations the theories reviewed here compare quite favorably to other string-derived models in the literature. Theoretical objections to the framework and directions for further research are identified and discussed.

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Modular-invariant anomalous U(1) breaking

Cited by 12 publications

References 33 publications

Re-examination of electroweak symmetry breaking in supersymmetry and implications for light superpartners

Re-examination of electroweak symmetry breaking in supersymmetry and implications for light superpartners

D-Moduli Stabilization

Kähler Stabilized, Modular Invariant Heterotic String Models

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