meta-stable supersymmetry breaking in spontaneously broken n=2 sqcd shin sasaki (univ. of helsinki)...
TRANSCRIPT
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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)]
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Introduction—meta-stable SUSY breaking
Dynamical SUSY breaking
hierarchy problem can be solved
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)]
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The ISS model
SQCD with massive flavors
IR-free magnetic dual
One-loop up-lifting of pseudo moduli
Long-lived local minimum
Dynamical SUSY restoration
Perturbative regionNon-pertrubative
SUSY restroation
[Intriligator-Seiberg-Shih (2006)]
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Ubiquity of meta-stable SUSY breaking
ISS inspired model
Perturbed Seiberg-Witten
Brane constraction
U(1)_R breaking
Gauge mediation, finite temperature ….
[Ooguri-Ookouchi-Park (2007), Pastras (2007)]
[Shih (2007), Ferretti (2007), Intriligator-Seiberg-Shih (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) …]
[Amariti-Girardello-Mariotti (2007), Essig-Sinha-Torroba (2007),
Abel-Khoze (2007), …]
[Kawano-Ooguri-Ookouchi (2007), Murayama-Nomura (2007),Aharony-Seiberg (2007),
Kitano-Ooguri-Ookouchi (2007), …]
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Plan of this talk
Introduction
Spontaneously broken N=2 SQCD
Quantum theory
Local minimum – numerical analysis
Possible application to phenomenology
Summary and future works
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Spontaneous broken N=2 SQCD
gauge theory with hypermultiplets
and FI-term (D-term)
The simplest case
Global symmetry
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Pseudo flat direction
Solution of stationary condition of the potential
SUSY is broken at tree-level
Pseudo flat direction
Gauge symmetryU(1)_R is broken
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Quantum theory
Effective action
FI term is tree-level exact [Arai-Kitazawa (1999)]
Harmonic superspace analysis, gauge symmetry, U(1)_R charge….
Coulomb branch
U(1) gauge theory cutoff theory, Landau pole
Seiberg-Witten analysis, Long-lived local minimum
[Arai-Okada (2001)]
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SUSY effective action
Vector multiplet part
Light BPS states around singular points
M corresponds to dyons, monopoles, quarks
Spinor representation of[Seiberg-Witten (1994)]
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Prepotential
Moduli spaceMonodoromy transf. subgroup of
Same structure with massive SQCD (common quark hypermultiplet mass)
is regarded as the mass
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Potential
Stationary points
Singular points : energetically favored !
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Solution
SW curve
Meromorphic differential
Periods
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Explicit form (Weierstrass functions, elliptic integrals)
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U(1) sector
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Local mininum
Flow of singularities
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Dyon points
Increasing direction
Re(a_1) direction
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Im(a_1) direction
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Local mininum at a_1 = 0
Local minimum at
SUSY and global U(1)_R are broken !
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Local minimum SUSY breaking and U(1)_R breaking
Runaway direction
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Decay rate estimate
Long-lived vacuum
[Dancan-Jensen (1992)]
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Application to phenomenology
SUSY breaking effect gauge mediation
Messenger sector
Gaugino mass
Singular point in moduli space (meta-stable vacuum)
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Summary
gauge theory with hypermultiplets and FI-term
We have found a meta-stable vacuum in which SUSY and U(1)_R are dynamically broken (non-perturbative)Long-lived local minimum with runaway SUSY vacuumThe model naturally contains messenger sector of gauge mediation
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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