Warped supersymmetric unification with a nonunified superparticle spectrum

Abstract

We present a new supersymmetric extension of the standard model. The model is constructed in warped space, with a unified bulk symmetry broken by boundary conditions on both the Planck and TeV branes. In the supersymmetric limit, the massless spectrum contains exotic colored particles along with the particle content of the minimal supersymmetric standard model (MSSM). Nevertheless, the model still reproduces the MSSM prediction for gauge coupling unification and does not suffer from a proton decay problem. The exotic states acquire masses from supersymmetry breaking, making the model completely viable, but there is still the possibility that these states will be detected at the LHC. The lightest of these states is most likely A XY 5 , the fifth component of the gauge field associated with the broken unified symmetry. Because supersymmetry is broken on the SU (5)-violating TeV brane, the gaugino masses generated at the TeV scale are completely independent of one another. We explore some of the unusual features that the superparticle spectrum might have as a consequence.

μB-driven electroweak symmetry breaking

“…Our scenario can be combined with any supersymmetry breaking models in which relatively small top squark masses are generated at a low scale, such as the one in [25], to reduce fine-tuning. Examples for such theories are given, for example, in Refs.…”

“…An approximate formula for the fine-tuning parameter can be obtained by inspecting the sum of the two minimization equations, Eqs. (25,26):…”

SU(7) unification of SU(3) C × SU(4) W × U(1) B−L

“…The U (1) R symmetry of the superconformal theory on the UV brane is determined by the a-maximization technique [55], with a defined by t ' Hooft anomalies of the superconformal R-charge 23) and the R-charge being the combination of an arbitrarily chosen R-charge R 0 and other U(1) charges…”

“…Orbifold GUT models for SU (5) were proposed in [9,10,11] and widely studied thereafter in [12,13,14,15,16,17,18,19,20]. The embedding of the supersymmetric GUT group into the Randall-Sundrum (RS) model [21] with a warped extra dimension is especially interesting since it has a four-dimensional (4D) conformal field theory (CFT) interpretation [22,23]. By assigning different symmetry breaking boundary conditions to the two fixed point, the five-dimensional (5D) theory is interpreted to be the dual of a 4D technicolor-like theory or a composite gauge symmetry model.…”

Stable colored particles R-SUSY relics or not?

“…Examples abound in the literature, including universal extra dimensions [14][15][16][17] that can mimic many features of SUSY models; unusual spectra, such as charged lightest KK-odd modes [18,19], are also possible and may be a strongly interacting state. More exotic models have also been proposed that would include (meta-)stable colored particles: KK-towers of X and Y grand unified gauge bosons in warped extra-dimensions with GUT-parity [20][21][22][23], longlived leptoquarks [24], 4 th generation quarks [25,26], mirror fermions [27,28], perhaps in vector-like generations [29,30], or related to symmetries stabilizing the dark sector [31]. For a larger list of possible models and particle candidates, see ref.…”