Majorana versus Dirac mass from holomorphic supersymmetric Nambu–Jona-Lasinio model

Dai, Yan; Faisel, Gaber; Jung, Dong Won; Kong, Otto C. W.

doi:10.1103/physrevd.87.085033

Cited by 5 publications

(10 citation statements)

References 16 publications

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“…Some discussion of the issue is available in Ref. [10]. Note that a nonzero m or m D is really not necessary for our key result here.…”

Section: The Model and The Soft Mass Gap Equationmentioning

confidence: 95%

A Simple Model of Dynamical Supersymmetry Breaking with the Generation of Soft Mass(es)

Cheng,

Dai,

Faisel

et al. 2015

Preprint

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We introduce a simple model of dynamical supersymmetry breaking. It is like a supersymmetric version of a Nambu-Jona-Lasinio model with a spin one composite. The simplest version of the model as presented here has a single chiral superfield (multiplet) with a four-superfield interaction. The latter has the structure of the square of the superfield magnitude square. A vacuum condensate of the latter is illustrated to develop giving rise to supersymmetry breaking with a soft mass term for the superfield. We report also the effective theory picture with a real superfield composite, illustrating the matching effective potential analysis and the vacuum solution conditions for the components. The nature of its fermionic part as the Goldstone mode is presented.Phenomenological application to the supersymmetric standard model is plausible.

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“…Some discussion of the issue is available in Ref. [10]. Note that a nonzero m or m D is really not necessary for our key result here.…”

Section: The Model and The Soft Mass Gap Equationmentioning

confidence: 95%

A Simple Model of Dynamical Supersymmetry Breaking with the Generation of Soft Mass(es)

Cheng,

Dai,

Faisel

et al. 2015

Preprint

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“…The first SNJL model was introduced in the early 1980s [11,12], generalizing the four-fermion interaction to a four-superfield interaction of the same dimension, in the Kähler potential. A holomorphic version (HSNJL) as an alternative supersymmetrization [13] with a four-superfield interaction in the superpotential [10] has been introduced, with different theoretical and phenomenological merits [10,14,15]. However, this kind of supersymmetric NJL-type model discusses only the formation of composite chiral superfields, for modeling the Higgs sector.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2020

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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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“…On the theoretical side, the basic framework works as well for a model starting with a single chiral superfield, instead of a Dirac pair, with generation of Majorana mass. The case of a Dirac pair admits both masses of Majorana and Dirac type depending on input soft masses [22].…”

Section: Introductionmentioning

confidence: 99%

“…It is our opinion that complete formulations of various superfield theories along the basic theme should be of great interest. The formulation plays a key role in our earlier works [21,22] as well as here.…”

Section: Introductionmentioning

confidence: 99%

Supersymmetric NJL-Type Model for a Real Superfield Composite

et al. 2019

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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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Majorana versus Dirac mass from holomorphic supersymmetric Nambu–Jona-Lasinio model

Cited by 5 publications

References 16 publications

A Simple Model of Dynamical Supersymmetry Breaking with the Generation of Soft Mass(es)

A Simple Model of Dynamical Supersymmetry Breaking with the Generation of Soft Mass(es)

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

Supersymmetric NJL-Type Model for a Real Superfield Composite

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