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

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Breaking SupersymmetryIt has to be doneFrom the susy algebra:Can find: H = P 0 = 1 4{ }Q α , Q ˙β= 2 σ µ α ˙β P µ)(Q 1 Q 1 + Q 1 Q 1 + Q 2 Q 2 + Q 2 Q 2So the vacuum energy: E = 〈 0 | H | 0 〉 0E > 0 ⇐⇒ Q α | 0 〉 ̸= 0As the scalar potential is also positive definite:V (φ) = F †iF i+ 1 2 Da D a 0Q α | 0 〉 = 0 ⇐⇒ F i = 0 & D a = 0(I.P.P.P. — Durham University) SUSY Breaking Heidelberg 14 / 27
Dynamical SUSY BreakingHierarchy?Question: Does the need to break susy re-introduce a hierarchy?Answer: Not necessarily.Non-perturbative effects can can generate natural hierarchy of scale:( ) Λ b ( )( )= exp −8π 2=⇒ Λ = mµg 2 (µ)X exp −8π 2b g 2 (m X )Same way no-body worries why Λ QCD ≪ M Pl .e.g.Gaugino condensation:〈λλ〉∼ Λ3(I.P.P.P. — Durham University) SUSY Breaking Heidelberg 15 / 27
Page 2 and 3: Outline1 Introduction and Motivatio
Page 5 and 6: Why Supersymmetry?It’s personalCo
Page 7 and 8: The Language of SUSYLagrangiansKine
Page 9: R-symmetryWhat is it?It’s a globa
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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