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Meta-stable Supersymmetry Breaking in Spontaneously Broken N=2 SQCD

Meta-stable Supersymmetry Breaking in Spontaneously Broken N=2 SQCD. Shin Sasaki (Univ. of Helsinki) [ hep-th/0708.0668 (M.Arai, C.Montonen, N.Okada and S.S) ]. Introduction— meta-stable SUSY breaking. Dynamical SUSY breaking hierarchy problem can be solved Witten index

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Meta-stable Supersymmetry Breaking in Spontaneously Broken N=2 SQCD

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  1. Meta-stable Supersymmetry Breaking in Spontaneously Broken N=2 SQCD Shin Sasaki (Univ. of Helsinki) [hep-th/0708.0668 (M.Arai, C.Montonen, N.Okada and S.S)]

  2. Introduction—meta-stable SUSY breaking • Dynamical SUSY breaking hierarchy problem can besolved • Witten index highly constrained models are allowed very restricted models are considered before the discovery of the ISS model Witten index never restrict the possibility of meta-stable SUSY breaking vacua [Intriligator-Seiberg-Shih (2006)]

  3. The ISS model [Intriligator-Seiberg-Shih (2006)] • SQCD with massive flavors • IR-free magnetic dual • One-loop up-lifting of pseudo moduli • Long-lived local minimum • Dynamical SUSY restoration Non-pertrubative SUSY restroation Perturbative region

  4. Ubiquity of meta-stable SUSY breaking • ISS inspired model • Perturbed Seiberg-Witten • Brane constraction • U(1)_R breaking • Gauge mediation, finite temperature …. [Amariti-Girardello-Mariotti (2007), Essig-Sinha-Torroba (2007), Abel-Khoze (2007), …] [Ooguri-Ookouchi-Park (2007), Pastras (2007)] [Franco-Garcia-Etxebarria-Uranga (2006), Ahn (2007), Ooguri-Ookouchi (2007), Eto-Hashimoto-Terashima (2007), Bena-Gorbatov-Hellerman-Seiberg-Shih (2007), Marsano-Papadodimas-Shigemori (2007) …] [Shih (2007), Ferretti (2007), Intriligator-Seiberg-Shih (2007), …] [Kawano-Ooguri-Ookouchi (2007), Murayama-Nomura (2007),Aharony-Seiberg (2007), Kitano-Ooguri-Ookouchi (2007), …]

  5. Plan of this talk • Introduction • Spontaneously broken N=2 SQCD • Quantum theory • Local minimum – numerical analysis • Possible application to phenomenology • Summary and future works

  6. Spontaneous broken N=2 SQCD gauge theory with hypermultiplets and FI-term (D-term) The simplest case  Global symmetry

  7. Pseudo flat direction Solution of stationary condition of the potential SUSY is broken at tree-level Gauge symmetry U(1)_R is broken Pseudo flat direction

  8. U(1) gauge theory  cutoff theory, Landau pole Quantum theory [Arai-Okada (2001)] Coulomb branch Effective action FI term is tree-level exact [Arai-Kitazawa (1999)] Harmonic superspace analysis, gauge symmetry, U(1)_R charge…. Seiberg-Witten analysis, Long-lived local minimum

  9. SUSY effective action Vector multiplet part Light BPS states around singular points M corresponds to dyons, monopoles, quarks Spinor representation of [Seiberg-Witten (1994)]

  10. is regarded as the mass Prepotential Moduli space Monodoromy transf.  subgroup of Same structure with massive SQCD(common quark hypermultiplet mass)

  11. Potential Stationary points  Singular points : energetically favored !

  12. Solution SW curve Meromorphic differential Periods

  13. Explicit form (Weierstrass functions, elliptic integrals)

  14. U(1) sector

  15. Local mininum Flow of singularities

  16. Increasing direction Re(a_1) direction Dyon points

  17. Im(a_1) direction

  18. Local mininum at a_1 = 0 Local minimum at SUSY and global U(1)_R are broken !

  19. Runaway direction Local minimum SUSY breaking and U(1)_R breaking

  20. Decay rate estimate [Dancan-Jensen (1992)] Long-lived vacuum

  21. Application to phenomenology SUSY breaking effect  gauge mediation Messenger sector Gaugino mass Singular point in moduli space (meta-stable vacuum)

  22. Summary • gauge theorywith hypermultiplets and FI-term • We have found a meta-stable vacuum in which SUSY and U(1)_R aredynamically broken (non-perturbative) • Long-lived local minimum with runaway SUSY vacuum • The model naturally contains messenger sector of gauge mediation

  23. Future works • Generalize to arbitrary • Geometric realization of the meta-stable vacua : NS5/D4/(D6)  M5 (with TN) • Embedding the Standard Model gauge symmetry into the flavor symmetry • Finite temperature correction

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