scholarly journals The non-SUSY baryonic branch: soft supersymmetry breaking of $ \mathcal{N} = 1 $ gauge theories

2012 ◽  
Vol 2012 (5) ◽  
Author(s):  
Stephen Bennett ◽  
Elena Caceres ◽  
Carlos Núñez ◽  
Daniel Schofield ◽  
Steve Young
Keyword(s):  
Supersymmetry Breaking ◽  
Gauge Theories ◽  
Soft Supersymmetry Breaking

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.

scholarly journals Revisiting the multi-monopole point of SU(N) $$ \mathcal{N} $$ = 2 gauge theory in four dimensions

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Eric D’Hoker ◽  
Thomas T. Dumitrescu ◽  
Efrat Gerchkovitz ◽  
Emily Nardoni
Keyword(s):  
Gauge Theory ◽  
Supersymmetry Breaking ◽  
Integrable Systems ◽  
Gauge Theories ◽  
Magnetic Monopoles ◽  
Coulomb Branch ◽  
Four Dimensions ◽  
Broad Agreement ◽  
Exact Agreement ◽  
Soft Supersymmetry Breaking

Abstract Motivated by applications to soft supersymmetry breaking, we revisit the expansion of the Seiberg-Witten solution around the multi-monopole point on the Coulomb branch of pure SU(N) $$ \mathcal{N} $$ N = 2 gauge theory in four dimensions. At this point N − 1 mutually local magnetic monopoles become massless simultaneously, and in a suitable duality frame the gauge couplings logarithmically run to zero. We explicitly calculate the leading threshold corrections to this logarithmic running from the Seiberg-Witten solution by adapting a method previously introduced by D’Hoker and Phong. We compare our computation to existing results in the literature; this includes results specific to SU(2) and SU(3) gauge theories, the large-N results of Douglas and Shenker, as well as results obtained by appealing to integrable systems or topological strings. We find broad agreement, while also clarifying some lingering inconsistencies. Finally, we explicitly extend the results of Douglas and Shenker to finite N , finding exact agreement with our first calculation.

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

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.

scholarly journals The soft supersymmetry-breaking Lagrangian: theory and applications

2005 ◽  
Vol 407 (1-3) ◽  
pp. 1-203 ◽  
Author(s):  
D CHUNG ◽  
L EVERETT ◽  
G KANE ◽  
S KING ◽  
J LYKKEN ◽  
...  
Keyword(s):  
Supersymmetry Breaking ◽  
Soft Supersymmetry Breaking

scholarly journals Supersymmetry Breaking in a Minimal Anomalous Extension of the MSSM

2012 ◽  
Vol 2012 ◽  
pp. 1-31 ◽  
Author(s):  
A. Lionetto ◽  
A. Racioppi
Keyword(s):  
Supersymmetry Breaking ◽  
Effective Action ◽  
Anomaly Cancellation ◽  
Gauge Symmetries ◽  
Breaking Mechanism ◽  
Soft Supersymmetry Breaking ◽  
Brane Models

We study a supersymmetry breaking mechanism in the context of a minimal anomalous extension of the MSSM. The anomaly cancellation mechanism is achieved through suitable counterterms in the effective action, that is, the Green-Schwarz terms. We assume that the standard MSSM superpotential is perturbatively realized; that is, all terms allowed by gauge symmetries except for the μ-term which has a nonperturbative origin. The presence of this term is expected in many intersecting D-brane models which can be considered as the ultraviolet completion of our model. We show how soft supersymmetry breaking terms arise in this framework, and we study the effect of some phenomenological constraints on this scenario.

scholarly journals THE GRACEFUL EXIT FROM THE ANOMALY-INDUCED INFLATION: SUPERSYMMETRY AS A KEY

2002 ◽  
Vol 11 (08) ◽  
pp. 1159-1169 ◽  
Author(s):  
I. L. SHAPIRO
Keyword(s):  
Supersymmetry Breaking ◽  
Low Energy ◽  
Fine Tuning ◽  
Starobinsky Model ◽  
Expansion Of The Universe ◽  
Soft Supersymmetry Breaking ◽  
The Universe

The stable version of the anomaly-induced inflation does not need a fine tuning to induce sufficient expansion of the Universe. The non-stable version (Starobinsky model) provides the graceful exit to the FRW phase. Here, we indicate the possibility of the inflation which is stable at the beginning and unstable at the end. The effect is due to the soft supersymmetry breaking and the decoupling of the massive sparticles at low energy.

scholarly journals Lepton dipole moments and rare decays in theCP-violating MSSM with nonuniversal soft-supersymmetry breaking

2003 ◽  
Vol 68 (1) ◽  
Author(s):  
Tai-Fu Feng ◽  
Tao Huang ◽  
Xue-Qian Li ◽  
Xin-Min Zhang ◽  
Shu-Min Zhao
Keyword(s):  
Supersymmetry Breaking ◽  
Rare Decays ◽  
Dipole Moments ◽  
Soft Supersymmetry Breaking
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