Standard Models and Split Supersymmetry from Intersecting Brane Orbifolds

Physics – High Energy Physics – High Energy Physics - Theory

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46 pages, 28 tables, LaTex; change of title; added refs; D-brane models are non-susy. Non-susy models with sin^2 \theta =3/8 a

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Scientific paper

Abstract

We construct four dimensional three generation non-supersymmetric $SU(3)_c \times SU(2)_L \times U(1)_Y$ intersecting D6-brane models that break to just the SM at low energies; the latter using a minimal number of three and five stacks. At three stacks we find exactly the SM chiral spectrum and gauge group; the models using tachyonic Higgs excitations flow to only the SM. At five stacks we find non-supersymmetric models with the massless fermion spectrum of the N=1 Standard Model and massive exotic non-chiral matter; these models flow also to only the SM. At eight stacks we find non-supersymmetric SM-like models with massless exotics, the latter forming pairs with opposite hypercharges. The present models are based on orientifolds of ${\bf T^6/(Z_3 \times Z_3)}$ compactifications of IIA theory and have all complex structure moduli naturally fixed by the orbifold symmetry. The full spectrum of the three generation models accommodates also $\nu_R^c$'s. Baryon number is not gauged but as the string scale is geometrically close to the Planck scale proton stability is guaranteed. Moreover, we point out the relevance of intersecting/and present D6-brane constructions on ideas related to existence of split supersymmetry in nature. In this context we present models, with tachyonic set of Higgses, that achieve the correct supersymmetric GUT value for the Weinberg angle $sin^2 \theta = {3/8}$ at the string scale $M_{GUT} = 2 \cdot 10^{16}$ GeV and have only the SM at low energy, also discussing in this context the existence of models with light gauginos and higgsinos. These models satisfy most of the requirements necessary for the existence of split susy scenario.

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