Further Studies of the Supersymmetric NJL-Type Model for a Real Superfield Composite

This is a sequel to our earlier paper presenting a supersymmetric Nambu–Jona–Lasinio (NJL)-type model for a real superfield composite. The model in the simplest version has only a chiral superfield (multiplet), with a strong four-superfield interaction in the Kähler potential that induces a real two-superfield composite with vacuum condensate. The latter can have supersymmetry breaking parts, which we have shown to bear nontrivial solutions under a standard nonperturbative analysis for a Nambu–Jona–Lasinio-type model on a superfield setting. In this article, we generalize our earlier analysis by allowing a supersymmetric mass term for the chiral superfield, as well as possible θ2 components for the soft supersymmetry breaking part of the condensate. We present admissible nontrivial vacuum solutions and an analysis of the resulted low energy effective theory with components of the composite becoming dynamical. The determinant of the fermionic modes is shown to be zero, illustrating the presence of the expected Goldstino.

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Possible Approach to Dynamical Supersymmetry Breaking via Nambu-Jona-Lasinio Model

EPJ Web of Conferences ◽

10.1051/epjconf/201818203002 ◽

2018 ◽

Vol 182 ◽

pp. 03002

Author(s):

Yifan Cheng

Keyword(s):

Standard Model ◽

Supersymmetry Breaking ◽

Type Model ◽

Beyond The Standard Model ◽

Nontrivial Solutions ◽

Vacuum Condensate ◽

Njl Model ◽

The Standard Model ◽

Interaction Term ◽

Soft Supersymmetry Breaking

Supersymmetry is undoubtedly a popular candidate for physics beyond the Standard Model. However, the origin of soft supersymmetry breaking masses has been usually depicted intricately in the literature via extra hidden/mediating sectors. Thus, a simple theory for the generation of the soft masses would be more compelling. Here we discuss a possible approach to dynamical supersymmetry breaking via Nambu-Jona- Lasinio (NJL) Model, which has been missed since the first investigation of supersymmetric NJL model. We introduce a four-superfield interaction term that induces a real two-superfield composite with vacuum condensate. The latter has supersymmetry breaking parts, which we show to bear nontrivial solutions following a standard nonperturbative analysis for a NJL type model. The presence of the expected Goldstino state along with the supersymmetry breaking, is also verified. Moreover, the model gives rise to a composite spin one field, as its important characteristic.

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Scale hierarchies in particle physics and cosmology

EPJ Web of Conferences ◽

10.1051/epjconf/201818202005 ◽

2018 ◽

Vol 182 ◽

pp. 02005

Author(s):

I. Antoniadis

Keyword(s):

Cosmological Constant ◽

Supersymmetry Breaking ◽

Particle Physics ◽

Scalar Potential ◽

Low Energy ◽

Chiral Multiplet ◽

Positive Cosmological Constant ◽

Shift Symmetry ◽

Kähler Potential ◽

Soft Supersymmetry Breaking

I describe the phenomenology of a model of supersymmetry breaking in the presence of a tiny (tuneable) positive cosmological constant. It utilises a single chiral multiplet with a gauged shift symmetry, that can be identified with the string dilaton (or an appropriate compactification modulus). The model is coupled to the MSSM, leading to calculable soft supersymmetry breaking masses and a distinct low energy phenomenology that allows to differentiate it from other models of supersymmetry breaking and mediation mechanisms. We also study the question if this model can lead to inflation by identifying the dilaton with the inflaton. We find that this is possible if the Kähler potential is modified by a term that has the form of NS5-brane instantons, leading to an appropriate inflationary plateau around the maximum of the scalar potential, depending on two extra parameters.

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ANGULAR INFLATION FROM SUPERGRAVITY

Modern Physics Letters A ◽

10.1142/s0217732302008022 ◽

2002 ◽

Vol 17 (25) ◽

pp. 1627-1634 ◽

Cited By ~ 9

Author(s):

G. GERMÁN ◽

ANUPAM MAZUMDAR ◽

A. PÉREZ-LORENZANA

Keyword(s):

Supersymmetry Breaking ◽

Radial Direction ◽

Radial Field ◽

Angular Component ◽

Angular Direction ◽

Kähler Potential ◽

Analytical Expressions ◽

Chiral Superfield ◽

Inflationary Models

We study supergravity inflationary models where inflation is produced along the angular direction. For this we express the scalar component of a chiral superfield in terms of the radial and the angular components. We then express the supergravity potential in a form particularly simple for calculations involving polynomial expressions for the superpotential and Kähler potential. We show for a simple Polonyi model the angular direction may give rise to a stage of inflation when the radial field is fixed to its minimum. We obtain analytical expressions for all the relevant inflationary quantities and discuss the possibility of supersymmetry breaking in the radial direction while inflating by the angular component.

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CURRENT ALGEBRA AND SUPERSYMMETRY

International Journal of Modern Physics A ◽

10.1142/s0217751x86000228 ◽

1986 ◽

Vol 01 (03) ◽

pp. 499-544 ◽

Cited By ~ 18

Author(s):

G.M. SHORE ◽

G. VENEZIANO

Keyword(s):

Supersymmetry Breaking ◽

Current Algebra ◽

Gauge Theories ◽

Critical Assessment ◽

Ward Identities ◽

Yang Mills ◽

Effective Lagrangian ◽

Soft Supersymmetry Breaking ◽

Supersymmetric Gauge ◽

Chiral Superfield

The implications of supersymmetry and chiral Ward identities in supersymmetric gauge theories are explored using current algebra methods, and a critical assessment is made of the relative merits of the current algebra and effective Lagrangian approaches. Using the Ward identities directly, simple derivations are given of several important properties of the condensates in supersymmetric QCD, and of the generalized Dashen formulae. The corrections to these results in the presence of explicit, soft supersymmetry breaking are calculated. A concise formula is presented for the mass splittings within pseudo Goldstone multiplets induced by soft supersymmetry breaking terms. It is shown that if this supersymmetry breaking is the θ=0 component of a chiral superfield, the supertrace of the pseudo Goldstone masses vanishes. Using current algebra reduction formulae, the pseudo Goldstone masses are calculated in supersymmetric Yang-Mills theory, and supersymmetric QCD for NF<NC and NF=NC. Some differences are found between the current algebra and effective Lagrangian predictions, and their possible origins are discussed.

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F-term moduli stabilization and uplifting

Progress of Theoretical and Experimental Physics ◽

10.1093/ptep/ptz094 ◽

2019 ◽

Vol 2019 (9) ◽

Author(s):

Tatsuo Kobayashi ◽

Osamu Seto ◽

Shintaro Takada ◽

Takuya H Tatsuishi ◽

Shohei Uemura ◽

...

Keyword(s):

Supersymmetry Breaking ◽

Large Volume ◽

Superstring Theory ◽

Stabilization Mechanism ◽

Moduli Stabilization ◽

Kähler Potential ◽

Chiral Superfield

Abstract We study Kähler moduli stabilization in type IIB superstring theory. We propose a new moduli stabilization mechanism by the supersymmetry breaking chiral superfield which is coupled to Kähler moduli in the Kähler potential. We also study its uplifting of the Large Volume Scenario (LVS). In both cases, the form of the superpotential is crucial for moduli stabilization. We confirm that our uplifting mechanism does not destabilize the vacuum of the LVS drastically.

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Supersymmetric NJL-Type Model for a Real Superfield Composite

Symmetry ◽

10.3390/sym11121507 ◽

2019 ◽

Vol 11 (12) ◽

pp. 1507 ◽

Cited By ~ 1

Author(s):

Yifan Cheng ◽

Yan-Min Dai ◽

Gaber Faisel ◽

Otto C. W. Kong

Keyword(s):

Supersymmetry Breaking ◽

Type Model ◽

Prototype Model ◽

Gap Equation ◽

Composite Higgs ◽

Njl Model ◽

Classic Theory ◽

Equation Analysis ◽

Chiral Superfield ◽

Chiral Superfields

The Nambu–Jona-Lasinio (NJL) model is a classic theory for the strong dynamics of composite fields and symmetry breaking. Supersymmetric versions of the NJL-type models are certainly of interest too. Particularly, the case with a composite (Higgs) chiral superfield formed by two (quark) chiral superfields has received much attention. Here, we propose a prototype model with a four-chiral-superfield interaction, giving a real superfield composite. It has a spin-one composite vector field with properties being somewhat similar to a massive gauge boson of spontaneously broken gauge symmetry. As such, it is like the first supersymmetric analog to non-supersymmetric models with spin-one composites. The key formulation developed here is the picture of quantum effective action as a superfield functional with parameters like constant superfields, having explicit supersymmetric and Grassmann number dependent supersymmetry breaking parts. Following the standard non-perturbative analysis for NJL-type models, the gap equation analysis shows plausible signature of dynamical supersymmetry breaking which is worth more serious analysis. With an extra superfield model Lagrangian included, comparison between the models and their non-supersymmetric counterparts is discussed, illustrating the notion of supersymmetrization is nontrivial in the setting.

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Scale hierarchies and string cosmology

International Journal of Modern Physics A ◽

10.1142/s0217751x17300125 ◽

2017 ◽

Vol 32 (17) ◽

pp. 1730012

Author(s):

I. Antoniadis

Keyword(s):

Cosmological Constant ◽

Supersymmetry Breaking ◽

Scalar Potential ◽

String Cosmology ◽

Low Energy ◽

Chiral Multiplet ◽

Positive Cosmological Constant ◽

Shift Symmetry ◽

Kähler Potential ◽

Soft Supersymmetry Breaking

I describe the phenomenology of a model of supersymmetry breaking in the presence of a tiny (tuneable) positive cosmological constant. It utilizes a single chiral multiplet with a gauged shift symmetry, that can be identified with the string dilaton (or an appropriate compactification modulus). The model is coupled to the MSSM, leading to calculable soft supersymmetry breaking masses and a distinct low energy phenomenology that allows to differentiate it from other models of supersymmetry breaking and mediation mechanisms. We also study the question if this model can lead to inflation by identifying the dilaton with the inflaton. We find that this is possible if the Kähler potential is modified by a term that has the form of NS5-brane instantons, leading to an appropriate inflationary plateau around the maximum of the scalar potential, depending on two extra parameters.

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Explicit soft supersymmetry breaking in the heterotic M-theory B − L MSSM

Journal of High Energy Physics ◽

10.1007/jhep08(2021)033 ◽

2021 ◽

Vol 2021 (8) ◽

Author(s):

Anthony Ashmore ◽

Sebastian Dumitru ◽

Burt A. Ovrut

Keyword(s):

Line Bundle ◽

Supersymmetry Breaking ◽

Moduli Space ◽

Initial Conditions ◽

Low Energy ◽

Strongly Coupled ◽

Hidden Sector ◽

Effective Lagrangian ◽

Soft Supersymmetry Breaking ◽

M Theory

Abstract The strongly coupled heterotic M-theory vacuum for both the observable and hidden sectors of the B − L MSSM theory is reviewed, including a discussion of the “bundle” constraints that both the observable sector SU(4) vector bundle and the hidden sector bundle induced from a single line bundle must satisfy. Gaugino condensation is then introduced within this context, and the hidden sector bundles that exhibit gaugino condensation are presented. The condensation scale is computed, singling out one line bundle whose associated condensation scale is low enough to be compatible with the energy scales available at the LHC. The corresponding region of Kähler moduli space where all bundle constraints are satisfied is presented. The generic form of the moduli dependent F-terms due to a gaugino superpotential — which spontaneously break N = 1 supersymmetry in this sector — is presented and then given explicitly for the unique line bundle associated with the low condensation scale. The moduli-dependent coefficients for each of the gaugino and scalar field soft supersymmetry breaking terms are computed leading to a low-energy effective Lagrangian for the observable sector matter fields. We then show that at a large number of points in Kähler moduli space that satisfy all “bundle” constraints, these coefficients are initial conditions for the renormalization group equations which, at low energy, lead to completely realistic physics satisfying all phenomenological constraints. Finally, we show that a substantial number of these initial points also satisfy a final constraint arising from the quadratic Higgs-Higgs conjugate soft supersymmetry breaking term.

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