scholarly journals Supersymmetric NJL-Type Model for a Real Superfield Composite

Symmetry ◽  
2019 ◽  
Vol 11 (12) ◽  
pp. 1507 ◽  
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.

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

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.

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

Symmetry ◽  
2020 ◽  
Vol 12 (11) ◽  
pp. 1818
Author(s):  
Yifan Cheng ◽  
Yan-Min Dai ◽  
Gaber Faisel ◽  
Otto C. W. Kong
Keyword(s):  
Supersymmetry Breaking ◽  
Mass Term ◽  
Effective Theory ◽  
Type Model ◽  
Nontrivial Solutions ◽  
Vacuum Condensate ◽  
Kähler Potential ◽  
Soft Supersymmetry Breaking ◽  
Vacuum Solutions ◽  
Chiral Superfield

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.

scholarly journals D-TERM DYNAMICAL SUPERSYMMETRY BREAKING GENERATING SPLIT ${\mathcal N} = 2$ GAUGINO MASSES OF MIXED MAJORANA–DIRAC TYPE

2012 ◽  
Vol 27 (26) ◽  
pp. 1250159 ◽  
Author(s):  
H. ITOYAMA ◽  
NOBUHITO MARU
Keyword(s):  
Gauge Theory ◽  
Supersymmetry Breaking ◽  
Explicit Form ◽  
Tree Level ◽  
Leading Order ◽  
Gap Equation ◽  
Four Dimensions ◽  
Hartree Fock ◽  
Self Consistent ◽  
Chiral Superfields

Under a few mild assumptions, [Formula: see text] supersymmetry (SUSY) in four dimensions is shown to be spontaneously broken in a metastable vacuum in a self-consistent Hartree–Fock approximation of Bardeen–Cooper–Schrieffer/Nambu–Jona-Lasinio (BCS/NJL) type to the leading order, in the gauge theory specified by the gauge kinetic function and the superpotential of adjoint chiral superfields, in particular, that possess [Formula: see text] extended SUSY spontaneously broken to [Formula: see text] at tree level. We derive an explicit form of the gap equation, showing the existence of a nontrivial solution. The [Formula: see text] gauginos in the observable sector receive mixed Majorana–Dirac masses and are split due to both the nonvanishing 〈D0〉 and 〈F0〉 induced with 〈D0〉. It is argued that proper physical applications and assessment of the range of the validity of our framework are made possible by rendering the approximation into [Formula: see text] expansion.

scholarly journals Inflation and supersymmetry breaking in Higgs-R2 supergravity

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Shuntaro Aoki ◽  
Hyun Min Lee ◽  
Adriana G. Menkara
Keyword(s):  
Supersymmetry Breaking ◽  
Planck Scale ◽  
Scalar Fields ◽  
Minimal Coupling ◽  
Slow Roll ◽  
New Construction ◽  
Visible Sector ◽  
Higgs Fields ◽  
Chiral Superfields ◽  
Slow Roll Inflation

Abstract We propose a new construction of the supergravity inflation as an UV completion of the Higgs-R2 inflation. In the dual description of R2-supergravity, we show that there appear dual chiral superfields containing the scalaron or sigma field in the Starobinsky inflation, which unitarizes the supersymmetric Higgs inflation with a large non-minimal coupling up to the Planck scale. We find that a successful slow-roll inflation is achievable in the Higgs-sigma field space, but under the condition that higher curvature terms are introduced to cure the tachyonic mass problems for spectator singlet scalar fields. We also discuss supersymmetry breaking and its transmission to the visible sector as a result of the couplings of the dual chiral superfields and the non-minimal gravity coupling of the Higgs fields.

scholarly journals THE SKYRMION LIMIT OF THE NAMBU–JONA-LASINIO SOLITON

1995 ◽  
Vol 10 (01) ◽  
pp. 67-78 ◽  
Author(s):  
U. ZÜCKERT ◽  
R. ALKOFER ◽  
H. REINHARDT ◽  
H. WEIGEL
Keyword(s):  
Axial Vector ◽  
Soliton Solutions ◽  
Type Model ◽  
Special Role ◽  
Vector Mesons ◽  
Gradient Expansion ◽  
Njl Model

The special role of the isoscalar mesons (σ and ω) in the NJL soliton is discussed. Stable soliton solutions are obtained when the most general ansatz compatible with vanishing grand spin is assumed. These solutions are compared to soliton solutions of a purely pseudoscalar Skyrme type model which is related to the NJL model by a gradient expansion and the limit of infinitely heavy (axial-) vector mesons.

scholarly journals CONFORMAL HIGGS, OR TECHNI-DILATON — COMPOSITE HIGGS NEAR CONFORMALITY

2010 ◽  
Vol 25 (27n28) ◽  
pp. 5128-5144 ◽  
Author(s):  
KOICHI YAMAWAKI
Keyword(s):  
Goldstone Boson ◽  
Gluon Condensate ◽  
Bound State ◽  
Fermion Mass ◽  
Scale Invariant ◽  
Mass Generation ◽  
Composite Higgs ◽  
Njl Model ◽  
Holographic Approach ◽  
Intrinsic Scale

In contrast to the folklore that Technicolor (TC) is a "Higgsless theory", we shall discuss existence of a composite Higgs boson, Techni-Dilaton (TD), a pseudo-Nambu-Goldstone boson of the scale invariance in the Scale-invariant/Walking/Conformal TC (SWC TC) which generates a large anomalous dimension γm ≃ 1 in a wide region from the dynamical mass [Formula: see text] of the techni-fermion all the way up to the intrinsic scale ΛTC of the SWC TC (analogue of ΛQCD), where ΛTC is taken typically as the scale of the Extended TC scale Λ ETC : Λ TC ≃ Λ ETC ~ 103 TeV (≫ m). All the techni-hadrons have mass on the same order [Formula: see text], which in SWC TC is extremely smaller than the intrinsic scale Λ TC ≃ Λ ETC , in sharp contrast to QCD where both are of the same order. The mass of TD arises from the non-perturbative scale anomaly associated with the techni-fermion mass generation and is typically 500-600 GeV, even smaller than other techni-hadrons of the same order of [Formula: see text], in another contrast to QCD which is believed to have no scalar [Formula: see text] bound state lighter than other hadrons. We discuss the TD mass in various methods, Gauged NJL model via ladder Schwinger-Dyson (SD) equation, straightforward calculations in the ladder SD/ Bethe-Salpeter equation, and the holographic approach including techni-gluon condensate. The TD may be discovered in LHC.

scholarly journals ANGULAR INFLATION FROM SUPERGRAVITY

2002 ◽  
Vol 17 (25) ◽  
pp. 1627-1634 ◽  
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.

scholarly journals CURRENT ALGEBRA AND SUPERSYMMETRY

1986 ◽  
Vol 01 (03) ◽  
pp. 499-544 ◽  
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.

TOP CONDENSATES AS HIGGS SUBSTITUTE

1993 ◽  
Vol 08 (13) ◽  
pp. 2167-2239 ◽  
Author(s):  
MANFRED LINDNER
Keyword(s):  
Higgs Sector ◽  
Consistent Theory ◽  
Composite Higgs ◽  
Njl Model ◽  
Higher Dimensional ◽  
Spin Excitations ◽  
Arbitrary Strength ◽  
Free Parameters ◽  
Top Mass ◽  
Effective Description

We review developments in top condensation starting from the first example which was a simple effective Nambu–Jona-Lasinio (NJL) model. The connection between the underlying four-fermion interaction and the structure of the composite Higgs sector is generalized to obtain the scalar sectors of a number of Standard Model extensions dynamically from some NJL model, as well as to include possible radial and spin excitations of the Higgs sector. In all these NJL models the symmetries do not forbid further higher dimensional four-fermion operators. If such operators could have arbitrary strength then this would result in arbitrary Higgs and top mass predictions. The nonrenormalizable NJL model is however thought to be only an effective description of some fully consistent theory where higher dimensional operators are not free parameters so that the corresponding four-fermion operators are restricted. We discuss renormalizable gauge theories of top condensation where this is the case. These models are therefore predictive and do not lead to arbitrary predictions.

scholarly journals Higgs mass in D-term triggered dynamical SUSY breaking

2017 ◽  
Vol 32 (36) ◽  
pp. 1747020
Author(s):  
Nobuhito Maru
Keyword(s):  
Supersymmetry Breaking ◽  
Nontrivial Solution ◽  
Higgs Mass ◽  
Susy Breaking ◽  
Tree Level ◽  
Gap Equation

We discuss a new mechanism of D-term dynamical supersymmetry breaking in the context of Dirac gaugino scenario. The existence of a nontrivial solution of the gap equation for D-term is shown. It is also shown that an observed 126 GeV Higgs mass is realized by tree level D-term effects in a broad range of parameters.

Sign in / Sign up

Export Citation Format

Share Document