Gauge unification in higher dimensions
406 citations recorded by the source corpus.
A complete 5-dimensional SU(5) unified theory is constructed which, on compactification on the orbifold with two different Z{sub 2}'s (Z{sub 2} and Z{sub 2}{prime}), yields the minimal supersymmetric standard model. The orbifold accomplishes SU(5) gauge symmetry breaking, doublet-triplet splitting, and a vanishing of proton decay from operators of dimension 5. Until 4d supersymmetry is broken, all proton decay from dimension 4 and dimension 5 operators is forced to vanish by an exact U(1){sub R} symmetry. Quarks and leptons and their Yukawa interactions are located at the Z{sub 2} orbifold fixed points, where SU(5) is unbroken. A new mechanism for introducing SU(5) breaking into the quark and lepton masses is introduced, which originates from the SU(5) violation in the zero-mode structure of bulk multiplets. Even though SU(5) is absent at the Z{sub 2}{prime} orbifold fixed point, the brane threshold corrections to gauge coupling unification are argued to be negligibly small, while the logarithmic corrections are small and in a direction which improves the agreement with the experimental measurements of the gauge couplings. Furthermore, the X gauge boson mass is lowered, so that p {yields} e{sup +}{pi}{sup 0} is expected with a rate within about one order of magnitude of the current limit. Supersymmetry breaking occurs on the Z{sub 2}{prime} orbifold fixed point, and is felt directly by the gauge and Higgs sectors, while squarks and sleptons acquire mass via gaugino mediation, solving the supersymmetric flavor problem.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/96a69a1261acc6ffdd29ca377caa235f1befa123
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In Nuclear and High Energy Physics
Citations in the corpus
- Quantum field theory and unification in AdS5 (2001, background): “This can be done by having the gauge symmetry not commute with the orbifold transformation [22, 23] so that the WZ have positive parity under Z2, but the XY have negative parity and have vanishing amplitude on the TeV brane.”
- A composite model for the 750 GeV diphoton excess (2015, background): “If neither ΨD,L nor Ψ̄D,L is unified in a single multiplet at the high energy scale (as in the case of higher dimensional grand unified theories [28]), we can consider operators leading to χ decays involving standard model operators of dimension 4:”
- Proton stability in grand unified theories, in strings and in branes (2006, background): “[257] the model has an overall U(1)R invariance which kills the proton decay via dimension four operators from the term 10.”