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A search for supersymmetry anomalies requires an examination of the BRS cohomology of supersymmetric Yang-Mills coupled to chiral matter, and the physically interesting (on-shell) anomalies are those which cannot be eliminated using the…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. A. Dixon

We describe a simple recipe for obtaining local supersymmetry-breaking vacua in s-confining theories coupled to gauge singlets. This recipe gives rise to effective O'Raifeartaigh models in the IR, with calculable supersymmetry-breaking…

High Energy Physics - Theory · Physics 2015-05-30 Yael Shadmi , Yuri Shirman

We use supersymmetric chiral dynamics perturbed by anomaly-mediated supersymmetry breaking to obtain a high-quality, composite axion that solves the strong CP problem. The strong dynamics arises from a supersymmetric SU(10) chiral gauge…

High Energy Physics - Phenomenology · Physics 2025-09-01 T. Gherghetta , H. Murayama , B. Noether , P. Quílez

Until recently, dynamical supersymmetry breaking seemed an exceptional phenomenon, involving chiral gauge theories with a special structure. Recently it has become clear that requiring only metastable states with broken supersymmetry leads…

High Energy Physics - Phenomenology · Physics 2008-11-26 Michael Dine , John Mason

We present exact results in softly-broken supersymmetric $\text{SU}(N_C)$ chiral gauge theories with charged fermions in one antisymmetric, $N_F$ fundamental, and $N_C+N_F-4$ anti-fundamental representations. We achieve this by considering…

High Energy Physics - Theory · Physics 2025-05-08 Jacob M. Leedom , Hitoshi Murayama , Gup Singh , Bethany Suter , Jason Wong

In this paper we study dynamical supersymmetry breaking in absence of gravity with the matter content of the minimal supersymmetric standard model. The hidden sector of the theory is a strongly coupled gauge theory, realized in terms of…

High Energy Physics - Theory · Physics 2010-11-11 F. Fucito , A. Lionetto , J. F. Morales , R. Richter

We give an explicit formalism connecting softly broken supersymmetric gauge theories (with QCD as one limit) to $N=2$ and $N=1$ supersymmetric theories possessing exact solutions, using spurion fields to embed these models in an enlarged…

High Energy Physics - Theory · Physics 2009-10-28 Nick Evans , Stephen D. H. Hsu , Myckola Schwetz , Stephen B. Selipsky

Starting with a supersymmetric U(N)xU(N) gauge theory built in N=1 superspace, a nonsupersymmetric theory is obtained by ``twisting'' the gauginos into a different representation of the group than the gauge bosons. Despite the fact that…

General Physics · Physics 2025-06-10 Scott Chapman

We study gauge symmetry breaking patterns in supersymmetric gauge models defined on $M^4\times S^1$. Instead of utilizing the Scherk-Schwarz mechanism, supersymmetry is broken by bare mass terms for gaugino and squarks. Though the matter…

High Energy Physics - Theory · Physics 2009-11-10 Naoyuki Haba , Kazunori Takenaga , Toshifumi Yamashita

We propose a higher dimensional scenario to solve the gauge hierarchy problem. In our formulation, a crucial observation is that a supersymmetric structure is hidden in the 4d spectrum of any gauge invariant theories with compact extra…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tomoaki Nagasawa , Makoto Sakamoto

This review provides a detailed introduction to chiral gauge theories, renormalization theory, and the application of dimensional regularization with the non-anticommuting BMHV scheme for $\gamma_5$. One goal is to show how chiral gauge…

High Energy Physics - Phenomenology · Physics 2023-03-17 Hermès Bélusca-Maïto , Amon Ilakovac , Paul Kühler , Marija Mađor-Božinović , Dominik Stöckinger , Matthias Weißwange

Theories with gauge-mediated supersymmetry breaking provide an interesting alternative to the scenario in which the soft terms of the low-energy fields are induced by gravity. These theories allow for a natural suppression of flavour…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. F. Giudice , R. Rattazzi

We show that 4D gauge theories with Green-Schwarz anomaly cancellation and possible generalized Chern-Simons terms admit a formulation that is manifestly covariant with respect to electric/magnetic duality transformations. This generalizes…

High Energy Physics - Theory · Physics 2009-02-07 Jan De Rydt , Torsten T. Schmidt , Mario Trigiante , Antoine Van Proeyen , Marco Zagermann

We extend the Wilson renormalization group (RG) formulation to chiral gauge theories and show that local gauge symmetry can be implemented by a suitable choice of the RG flow boundary conditions. Since the space-time dimension is four,…

High Energy Physics - Theory · Physics 2009-10-30 M. Bonini , F. Vian

We discuss gauge symmetry breaking in a general framework of gauge theories on an interval. We first derive a possible set of boundary conditions for a scalar field, which are compatible with several consistency requirements. It is shown…

High Energy Physics - Theory · Physics 2011-12-03 Yukihiro Fujimoto , Tomoaki Nagasawa , Satoshi Ohya , Makoto Sakamoto

Previous results on fermion chirality-flipping four-point functions are extended to $SU(N)$ gauge theories. The problem is purely non-perturbative, and it is approached by truncating the Schwinger-Dyson hierarchy. The large-$N$ limit also…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. Holdom , G. Triantaphyllou

Under the assumption that all the gauge groups in supersymmetric theories unify at the fundamental scale, the numbers and the mass scales of messenger quarks and leptons, as well as the beta-function coefficient of the sector for dynamical…

High Energy Physics - Phenomenology · Physics 2009-10-30 Eung Jin Chun , Haewon Lee , Won Sik l'Yi

The Schwinger-Dyson equations in the ladder approximation for $2D$ induced gravity coupled to fermions on a flat background are obtained in conformal gauge. A numerical study of these equations shows the possiblity of chiral symmetry…

High Energy Physics - Theory · Physics 2009-09-25 E. Elizalde , S. D. Odintsov , A. Romeo , Yu. I. Shil'nov

The s-confining theories are a class of supersymmetric gauge theories with infrared dynamics which are well-understood. Perturbing such theories can give rise to dynamical supersymmetry breaking. We realize simple models of dynamical…

High Energy Physics - Theory · Physics 2011-09-28 Tongyan Lin , John D. Mason , Aqil Sajjad

We extend to all orders in perturbation theory a method to calculate supersymmetry-breaking effects by analytic continuation of the renormalization group into superspace. A central observation is that the renormalized gauge coupling can be…

High Energy Physics - Phenomenology · Physics 2009-10-31 N. Arkani-Hamed , G. F. Giudice , M. A. Luty , R. Rattazzi