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Problem gauge + gauge massless nonabelian symmetry bosons Local Solution Higgs mechanism qymmetry (spontaneously): . State of lowest energy breaks UarO, ntO M2<0, A>o ho E-)t2h2+.1 parameter +-+ -\/ mâss < O ist necessary -\12 field: Higgs boson mechanism + additional Higgs with all particles proportional with the strength interacts of the particle to mass (yet) --- LHC (CERN) not observed - experimentally

Weaknesses of the Standard Model r Higgs mechanism not really understood lvr2 < O . Higgs boson not observed (pt) Mass of the scalar Higgs boson unkno^rn + experimental difflcult (110 search - 2OOGeV) o Many free parameters r Gravlty not involved in unlflcation (Planck scale) r Uniflcation of electromagnetic, weak and strong fcce. Indlcations: . quarlG, leptons gauge q/mmetry compatible with higher o unlflcation of coupling constants at higher scale Ir 50 Q 30 n l0 tr f-J.--.--la/+-i---------r- -0 5 l0 15 ttogQ

problem Haerarchy corrections to Higgs boson mass: Quantum Higgs Higgs + sensitivity to highest scale in the theory Quadratic Planck Standardmodel (,. levl After inclusion in larger theory: No stabilisation of the Higgs mass boson at the SM scale Photon and quark masses protected by gauge C:mp:r-,s:n symmetry and chiral respectively symmetry,

Indirect Search for Supersymmetry hy prob . H iera rc le m : Higgs /-\. Higgs -'\----- Planck IeVI (Boson Supersymmetry Fermion Symmetry) stabilizes the low-energy theory Higgs /-\ Higgs =0 SM (MSSM) SM + Supersymmetric .reeds a SuOerpartner, -\1r,.r < 1000Gel' E'",eryccCr data: SM .-' MSSM Global fit to electroweak (Susy contributions decouple) Mechanism of necessary SUSY breaking unknown free parameters ---+ rrrânv problem Many other solutions to the hierarchy on the market: little higgs models, extra dimensions, ... However: Coleman-Mandula Theorem

Coleman-Mandula Theorem internal and space-time There is no nontrivial relation between quantum field theory. in relativistic symmetries is the maximal symmetry of space-time. Poincaré-Symmetry n. n- Ma ndulJ C I1.. a However: does connect these two kinds of symmetry Supersymmetry tra nsform ations: -f nf BoG( I SUSY SUSY Fermion Boson Fermion (as- generalizes the former symmetry concept Supersymmetry by connecting theorem) within the Coleman-Mandula sumed bosons I fermions and

Further Arguments for Supersymmetry with all present data (SUSY de- compatibel contributions ple!) cou prediction . model-independent of the Higgs boson mass: (;, \ ' 130 . allows for deeper understanding of Higgs mechanism E M4o, A'o M2.0, AtO ]'tf /:- - \ /- * ',- para mass meter <--+ I / n € C € SSârV --t tvl Planck- Standardmodel J of top quark (1982 l!). large mass necessary

problem . offers solution of the hierarchy Higgs Higgs Hiæs =0 + Planck Standardmodel E 1012 levl o ElGrapolation: Unification of the three forces of SM E rf 60 fl) 50 50 40 Æ :n 30 m m l0 l0 0 0 0 l0 l5 0 l0 l5 tIoeQ tolog Q

Flavour Problem Supersymmetric . In the MSSM two kinds of new contributions to flavour violation - CKM induced contributions from ÀI+, 1* exchanges - flavour mixing in the sfermion mass matrix persym problem + metric flavour Su Dynamics of flavour - Mechanism of SUSY breaking Tvro approaches: may provide Model-independent important hints anallrsis on the more fundamental theory of soft SUSY breaking FCNC processes also allo\^/ for stringent constraints on models (mSUGRA, specific supersymmetric GMSB, AMSB). to the mechanism B - .Y. r- is sensitive of SUSY breaking, because in the limit of exact supersymmetry:

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