Why is SUSY Breaking so Difficult?! - Institute for Particle Physics ...

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The Language of SUSYSuperEverythingUseful notation: Introduce fermionic spacetime coordinates θ α , θ ˙αWrap up fields related by SUSY transformations into superfields —functions on the superspace (x µ , θ α , θ ˙α ):Chiral Superfield: Φ(x µ , θ α , θ ˙α ) = φ(y µ ) + √ 2 θ ψ(y µ ) + θ 2 F(y µ )where y µ = x µ − i θ σ µ θGauge Superfield: V a = θ σ µ θ A a µ + i θ 2 θλ a − i θ 2 θλ a + 1 2 θ2 θ 2 D a(in Wess-Zumino Gauge)Fermions ←→ sFermionsGauge bosons ←→ Gauginos(I.P.P.P. — Durham University) SUSY Breaking Heidelberg 6 / 27
The Language of SUSYLagrangiansKinetic terms for Chiral superfields, and derivative interactions followfrom a real-valued function – the Kähler potential, K (·, ·):∫ () ∫L ⊃ d 2 θd 2 θ K Φ † , e gT a V a Φ = d 2 θd 2 θ Φ † e gV ΦTo restrict attention to renormalizable interactions, it is sufficient toconsider the canonical Kähler potential.Non-derivative interactions follow from a holomorphic function calledthe Superpotential, W (·). Don’t confuse it with the gauge fieldkinetic term!L ⊃∫d 2 θ W (Φ) + 1 4∫d 2 θ W a α W a α + h.c.(I.P.P.P. — Durham University) SUSY Breaking Heidelberg 7 / 27
Page 2 and 3: Outline1 Introduction and Motivatio
Page 5: Why Supersymmetry?It’s personalCo
Page 9: R-symmetryWhat is it?It’s a globa
Page 14 and 15: Breaking SupersymmetryIt has to be
Page 16 and 17: Witten IndexSUSY vacua are easy to
Page 18 and 19: Nelson & SeibergR-symmetry causing
Page 20 and 21: Mediating SUSY BreakingBreaking the
Page 22 and 23: Radiative Electroweak Symmetry Brea
Page 24 and 25: Other Useful ToolsThe Model-buildin
Page 26 and 27: Suggested ReadingNiceModern Supersy
Page 28: Other NicetiesWhat has SUSY ever do

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