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Topics: • Why: Motivation for supersymmetry (SUSY) • What: SUSY Lagrangians, SUSY breaking and the Minimal Supersymmetric Standard Model • How: to look for supersymmetry at the LHC • Where: SUSY might be hiding • Who: Sorry, not covered. For some more details and a slightly better attempt at proper referencing: • A supersymmetry primer, hep-ph/9709356, version 6, September 2011 • TASI 2011 <strong>lectures</strong> notes: two-component fermion notation and supersymmetry, arXiv:1205.4076. If you find corrections, please do let me know! 2
Lecture 1: Motivation and Introduction to Supersymmetry • Motivation: The Hierarchy Problem • Supermultiplets • Particle content of the Minimal Supersymmetric Standard Model (MSSM) • Need for “soft” breaking of supersymmetry • The Wess-Zumino Model 3
Page 1: Supersymmetry and the LHC ICTP Summ
Page 5 and 6: An analogy: Coulomb self-energy cor
Page 7 and 8: This “reason” for the positron
Page 9 and 10: Contributions tom 2 H Dirac fermion
Page 11 and 12: The Hierarchy Problem We already kn
Page 13 and 14: Indirect couplings of the Higgs to
Page 15 and 16: Supersymmetry A SUSY transformation
Page 17 and 18: How do the Standard Model quarks an
Page 19 and 20: Why do we need two Higgs supermulti
Page 21 and 22: Recall that if supersymmetry were a
Page 23 and 24: The effective Lagrangian has the fo
Page 25 and 26: Is there any good reason why the su
Page 27 and 28: Notations for two-component (Weyl)
Page 29 and 30: Two LH Weyl spinors ξ,χ can form
Page 31 and 32: To have any chance,δψ should be l
Page 33 and 34: The auxiliary fieldF does not affec
Page 35 and 36: Covered in Lecture 1: • The Hiera
Page 37 and 38: Recall: the Wess-Zumino model Lagra
Page 39 and 40: From the conserved supercurrents on
Page 41 and 42: Masses and Interactions for Chiral
Page 43 and 44: The superpotential W = 1 2 Mij φi
Page 45 and 46: The auxiliary fieldD a is again nee
Page 47 and 48: Soft SUSY-breaking Lagrangians It h
Page 49 and 50: The Superpotential for the Minimal
Page 51 and 52: Actually, the most general possible
Page 53 and 54:
Consequences if R-parity is conserv
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Is R-parity inevitable? No! MaybeB
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The soft SUSY-breaking Lagrangian o
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Define mass-eigenstate Higgs bosons
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Radiative corrections to the Higgs
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Neutralinos The neutral higgsinos (
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Charginos Similarly, the charged hi
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A typical mass hierarchy for the ne
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Squarks and Sleptons To treat these
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Diagonalizing the top squark mass 2
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Lecture 3: Experimental Signatures
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Hints of an Organizing Principle Fo
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Similarly: TheD 0 ,D 0 system const
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The Flavor-Preserving Minimal Super
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A reason to be optimistic that this
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In SUSY, the potential energy can b
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F -term breaking (continued) If you
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Spontaneous Breaking of SUSY requir
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The O’Raifeartaigh model has the
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Planck-scale Mediated SUSY Breaking
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Renormalization Group Running for a
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Impact of the discoveryMh = 125.5 G
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Computer programs can generate the
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Superpartner decays: 1) Neutralino
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2) Chargino Decays Charginos ˜Ci h
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An important feature of gluino deca
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5) Slepton Decays When Ñ1 is the L
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SUSY Limits from LEP2e + e − coll
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The LHC vs. Supersymmetric Models,
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LHC Signals for SUSY inpp collision
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Typical ATLAS cuts for a jets +E mi
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A better way of showing the same li
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For simplified model with ˜g, ˜ Q
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Kinematically allowed decays of lig
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Electroweak SUSY production at Hadr
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Why has SUSY not been discovered ye
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Natural SUSY (continued) This is ac
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LSP mass [GeV] 800 700 600 500 400
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However, a group of theorists (Kris
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Stoponium A spin-0˜t1 ˜t ∗ 1 bo
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Split SUSY Arkani-Hamed, Dimopoulos
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R-parity violating results from CMS
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Compressed SUSY: the limits from je
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The LHC will eventually reach √ s
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Direct top-squark pair production p
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Why I am still optimistic about the
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