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M. Zubkov ITEP Moscow 2007

10 Tev monopoles and topology of the Standard Model. M. Zubkov ITEP Moscow 2007. Abstract. Standard Model may be defined with the gauge group s We show, that , if the Unification is achieved at Tev (it could be in PUT or ETC), in the cases

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M. Zubkov ITEP Moscow 2007

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  1. 10 Tev monopoles and topology of the Standard Model M. Zubkov ITEP Moscow 2007

  2. Abstract Standard Model may be defined with the gauge groups We show, that, if the Unification is achieved at Tev (it could be in PUT or ETC), in the cases monopoles with masses of the order of 10 Tevshould appear, which may become the lightest topologically stable monopoles. The idea is illustrated by consideration of Petite Unification models.

  3. We expect the percolation transition is present 10 Tevmonopoles monopoles Early Universe The lattice model for qualitative investigation of this phenomenon based on the Petite Unification Theory is presented

  4. The additional discrete symmetry in the Standard Model 1. SU(5) GUT C.Gardner, J.Harvey, Phys. Rev. Lett. 52 (1984) 879 Tanmay Vachaspati, Phys.Rev.Lett. 76 (1996) 188-191 Hong Liu, Tanmay Vachaspati, Phys.Rev. D56 (1997) 1300-1312 2. STANDARD MODEL B.L.G.Bakker, A.I.Veselov, and M.A.Zubkov, Phys. Lett. B 583, 379 (2004) The additional symmetry in the fermion and Higgs sectors of the SM

  5. Quark, lepton, and Higgs Parallel transporters, and Wilson loops

  6. STANDARD MODEL WITH THE GAUGE GROUP : Fermion ang Higgs sectors are the same The gauge group is The following elements of represent the same element of the gauge group with N = 0,1,2,3,4,5

  7. STANDARD MODEL WITH THE GAUGE GROUP : Fermion ang Higgs sectors are the same The gauge group is The following elements of represent the same element of the gauge group with N = 0,2,4

  8. STANDARD MODEL WITH THE GAUGE GROUP : Fermion ang Higgs sectors are the same The gauge group is The following elements of represent the same element of the gauge group with N = 0,3

  9. THE CONVENTIONAL STANDARD MODEL

  10. There are 4 versions of the Standard Model

  11. Is there any difference between the four versions of the Standard Model? On the level of perturbation theory they are identical

  12. The Standard Model does not work at E > 1 TEV Standard Model fields are not defined -1 R = 1 TEV Standard Model Unified theory Standard Model TEV physics is described by the Unified theory with simply connected gauge group

  13. An example: Georgi-Glashow model T’Hooft – Polyakov monopole

  14. Unification at Tev occurs in PUT and some of Extended Technicolor Models Standard Model (gauge group H) Unified theory (gauge group G) Parallel transporter within the Unified theory along contour L

  15. Unified theory ANTI MONOPOLE Unified theory Standard Model MONOPOLE Unified theory N = 0,2,4

  16. Unified theory MONOPOLE Unified theory Standard Model MONOPOLE Unified theory N = 0,3

  17. Unified theory ANTI MONOPOLE Unified theory Standard Model MONOPOLE Unified theory N = 0

  18. Unified theory ANTI MONOPOLE Unified theory Standard Model MONOPOLE Unified theory N = 0,1,2,3,4,5

  19. 100 TEV MONOPOLES 10 TEV MONOPOLES

  20. Petite Unification Andrzej J. Buras, P.Q. Hung, J.D.Bjorken Phys.Rev.D25:805,1982; A.Buras, P.Q. HungPhys.Rev. D68 (2003) 035015; A. Buras, P.Q. Hung, Ngoc-Khanh Tran, Anton Poschenrieder, Elmar Wyszomirski, Nucl.Phys. B699 (2004) 253

  21. Energy scale not far from LHC upper bound p U D monopole U g jets p U anti monopole D U

  22. e _ monopole jets + e anti monopole E ~ 200 Tev

  23. e _ jets + e E ~ 200 Tev

  24. PERCOLATION TRANSITION monopoles monopoles Early Universe T

  25. Electroweak Transition Nambu monopoles Nambu monopoles Early Universe T B.L.G.Bakker, A.I.Veselov, and M.A.Zubkov, Phys. Lett. B642 (2006) 147-152

  26. NAMBU MONOPOLES (unitary gauge) NAMBU MONOPOLE Standard Model NAMBU MONOPOLE Z string

  27. Percolation of Nambu monopoles near the Electroweak transition T Monopole density and percolation probability for the monopole clusters. The temperature is decreased with increasing of

  28. Simplified lattice model

  29. Fields • Lattice gauge field (defined on links) • Adjoint Higgs field (defined on sites) Lattice action Higgs condensate

  30. London limit At low energies

  31. Electroweak fields MONOPOLE WORLDLINE

  32. Expected phase diagram (at finite temperature) low temperature high temperature CONDENSATION OF MONOPOLES

  33. 0. Four versions of the Standard Model with the gauge groups are indeed different if the space-time has nontrivial topology. 1. Nontrivial topology appears around the worldlines of monopoles of the unified model. If unification is achieved at Tev (ETC or PUT) and the Standard Model has the gauge group or then such monopoles may appear with masses about 10 Tev. 3. Those topologically stable monopoles may be created during high energy collisions (probably,at the next generation of colliders, or even at LHC) and may be condensed in the early Universe at high temperature.

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