ON THE HIGGS AND EXOTIC WITHIN SCHERK-SCHWARZ BREAKING OF 5-DIMENSIONAL SU(6) SYMMETRY

• Main Author: HARTANTO (NIM: 30208005);pembimbing : Prof. Freddy P. Zen D. Sc;Dr. Jusak S. Kosasih;Dr. Lak, ANDREAS
• Format: Dissertations
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/14879
• Institution: Institut Teknologi Bandung

The symmetry breaking of five-dimensional SU(6) GUT is realized by Scherk- Schwarz mechanism through trivial and pseudo nontrivial S1=Z2 orbifold breakings to produce dimensional deconstruction 5D SU(6)¡! 4D SU(6). The latter also induces near-brane weakly-coupled SU(6) Baby Higgs to further break the symmetry into SU(3)c­SU(3)H­U(1)C. The model successfully provides a scenario of the origin of (Little) Higgs from GUT scale, produces the (intermediate and light) Higgs bosons with the most preferred range of mass and establishes coupling unification and compactification scale correctly.This theory provides 2 (two) formulas for Higgs masses both with the order of O(1:0 TeV) for light Higgs and O(10:0 TeV) for heavy Higgs which predict accurately the Higgs mass < 145:0 GeV and 466:0 < mH < 700:0 GeV in accordance to the exclusion zone based on latest LHC data: 145:0 · mH(excl) · 466:0 GeV. With compactification scale at 1010 GeV and unification scale at 1012 GeV, the extra dimension (radius of compactification) and the cut-off scale of the theory have been predicted at values of 10¡24 cm and 1000:0 TeV.This is basically the realm of SU(6)-weaklycoupled-origin PNB Higgses which represent only one side while another side gives accordingly another realm of SU(6)-stronglycoupled-origin exotic Higgses and scalars. Nevertheless, the 4D SU(6) breaking in the strong manner via triplet-triplet splitting of nearbrane strongly-coupled SU(6) will-be SimplestLittleHiggs scalar demands a new mechanism of mass generation for exotic Higgses and scalars.A newly developed mechanism that involves the unification of Nambu-Goldstone (NG) and pseudo Nambu-Goldstone (PN) bosons is able to provide Heisenberg scalars which, together with Higgses in some cases, form the above exotic scalars. The mechanism, so-called Heisenberg’s commutator uncertainty mechanism, consists of action of NGB swallowing-digesting instead of NGB eating by Higgses which facilitated by 2-VEV double-vacua system which also facilitates the use of Dirac-like bra-ket to further generate the mass coupling of the mass-squared ofexotic scalars. The 3-scalar Higgses and another family of gauge-like scalars are found to have Majorana-like masses, in contrast to Dirac-like mass of PNB Higgs. Just like these exotic Higgses whose masses lie in the most preferred range of mass the gauge-like scalars live in TeV scale with VEV up to 70 TeVs and a continous range of mass up to 1:5 TeVs. At values of VeVs 4:0-5:0 TeV (cut off scale 10:0 TeV) the Heisenberg scalar mass lies approximately at 114:0 GeV while for 3-scalar Higgs at 139:0 GeV with appropriate values of other parameters. On the other side if the theory cut off scale is set at 100:0 TeV which looks appropriately more proportional within the context of SU(6) Baby Higgs while VeVs at 16:0-20:0 TeV and other parameters have the appropriate values then Heisenberg scalar mass becomes around 411:0 GeV and 3-scalar Higgs around 567 GeV. The mass of gauge-like and Higgs-like 3-component scalars are obtained at the value around 712:0 GeV. Finally under (global-local) near-brane uncertainty correspondence and upon application of triplet-triplet splitting the generalized Coleman-Weinberg potential yields basically potentials of PNB Higgs, hidden Heisenberg scalar and exotic 3-component (scalar) scalar (Higgs). PNB Higgs is produced in the one-by-one breaking while the remaining ones in the collective breaking. The new mechanism of mass generation for hidden (bonded) Heisenberg scalar and exotic scalars works in two stages in the collective breaking in SU(6) i.e. two NGBs decouple or being absorbed by Higgs field H(H0) and vanish (decoupling) or be swallowed-digested by the new field H00 = (H0 ¡ H) of which the first yields PNB Higgses while the second emerges again as a massive Heisenberg scalar. This occasion, if it happens at relatively large global gauge , in the semisimultaneous-collective pattern produces immediately the so-called 3-scalar Higgs. On the contrary, at relatively very small values of (global and local) in the simultaneous-collective pattern it produces either PNB Higgs or Heisenberg scalar as a component of 3-scalar Higgs.