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Susy - Oct 2004Aldo F. Saavedra (LBL) Basic Supersymmetry Aldo F. Saavedra LBL

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Susy - Oct 2004Aldo F. Saavedra (LBL) Motivation A bit of algebra Signals Outline:

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Susy - Oct 2004Aldo F. Saavedra (LBL) Some Shortcomings of the Standard Model Hierarchy problem: For spontaneous symmetry breaking one needs: Where H and are higgs field responsible for symmetry breaking of SU(2) and GUT groups. The first question is how to get such a small number. The only way is to tune coupling constants. A radiative correction will certainly disrupt the fore metioned hierarchy.

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Susy - Oct 2004Aldo F. Saavedra (LBL) The feynman diagram for a the radiative correction to a ligh higgs mass is shown and is proportional to the squared mass of the particle Not cancelled will disrupt the hierachy In supersymmetry the contribution of the superpartners of the higgs particle perform the cancellation:

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Susy - Oct 2004Aldo F. Saavedra (LBL) Unification of the Couplings of Electromagnetic, Weak and Strong Forces D.I. Kazakov Phys. Rept. 344, 309, (2001)

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Susy - Oct 2004Aldo F. Saavedra (LBL) Muon Anomalous Magnetic Moment: Collaboration E821 at Brookhaven measured a value for a = (g -2) /2 which deviates by 2.6 from the Standard Model.

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Susy - Oct 2004Aldo F. Saavedra (LBL)

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Susy - Oct 2004Aldo F. Saavedra (LBL) The collaboration claims that the difference can be accounted for in a number particle physics models employing weak scale supersymmetry. In hep-ph/0103280 different SUSY models are compared. Some are favoured and some are not.

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Susy - Oct 2004Aldo F. Saavedra (LBL) The only possible extension of symmetry beyond Lie symmetries. Coleman- Mandula Theorem.(1967). This came from an attempt to combine internal and Lorentz symmetries and it states that: The only conserved quantities that transform as tensors under Lorentz transformation in a theory with non-zero scattering amplitudes in 4 dimensions are the generators of Poincare group and Lorentz invariant quantum numbers(scalar charges)

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Susy - Oct 2004Aldo F. Saavedra (LBL) Q | Boson = | Fermion Q | Fermion = | Boson [Q ,H] = 0 [{Q , Q * },H] = 0 {Q , Q * } = 2 * P {Q , Q } = 0 {Q *, Q * } = 0 Translation Supersymmetry relates particles of different spin with equal quantum numbers of identical masses 1/2 0 q (quark) q (squark) 1 1/2 g (gluon) g (gluino) Chiral supermultiplet Gauge supermultiplet But it does not forbid conserved of spinor charges, Q . (Graded Lie algebra)

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Susy - Oct 2004Aldo F. Saavedra (LBL) SMSuperpartnerQuantum Number SM SuperpartnerQuantum Number QLQL squark doublet Q L (3,2,1/6)L slepton doubletL (1,2,-1/2) uRuR up squarl singlet u R (3,1,2/3) dRdR sdown singlet d R (3,1,-1/3) eReR selectron singlet e R (1,1,-1) R Sneutrino right R (1,1,0) H1H1 down higgsino H 1 (1,2,-1/2) H2H2 Up higgsino H 2 (1,2,1/2) ggluino g (8,1,0)WWino W (1,3,0) Bbino B (1,1,0)

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Susy - Oct 2004Aldo F. Saavedra (LBL) R-parity –Consequences: SUSY particles produced in pairs. Lightest SUSY particle (LSP) must be neutral and colourless (from cosmological constraints). LSP is stable. –No theoretical argument requires R-parity. –Some models conserve, others violate R-parity.

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Susy - Oct 2004Aldo F. Saavedra (LBL) References: Jose Miguel Figueroa-O’Farrill, BUSSTEPP Lectures on supersymmetry, hep-th/0109172 21 sep 2001. Stephen P. Martin, A Supersymmetry Primer, hep-ph/9709356. Marco Battaglia, Ian Hinchliffe, Daniel Tovey, Cold Dark Matter and the LHC, hep-ph/0406147 M. Biglietti et al, Full Supersymmetry Simulation for ATLAS in DC1, ATL-PHYS-2004-011.

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Minimal Supersymmetric Standard Model (MSSM) SM: 28 bosonic d.o.f. & 90 (96) fermionic d.o.f. SUSY: # of fermions = # of bosonsN=1 SUSY: There are no particles.

Minimal Supersymmetric Standard Model (MSSM) SM: 28 bosonic d.o.f. & 90 (96) fermionic d.o.f. SUSY: # of fermions = # of bosonsN=1 SUSY: There are no particles.

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