Blueprints of the no-scale multiverse at the LHC

Abstract

We present a contemporary perspective on the String Landscape and the Multiverse of plausible string, M-and F-theory vacua. In contrast to traditional statistical classifications and capitulation to the anthropic principle, we seek only to demonstrate the existence of a non-zero probability for a universe matching our own observed physics within the solution ensemble. We argue for the importance of No-Scale Supergravity as an essential common underpinning for the spontaneous emergence of a cosmologically flat universe from the quantum "nothingness". Concretely, we continue to probe the phenomenology of a specific model which is testable at the LHC and Tevatron. Dubbed NoScale F-SU (5), it represents the intersection of the Flipped SU (5) Grand Unified Theory (GUT) with extra TeV-Scale vector-like multiplets derived out of F-theory, and the dynamics of No-Scale Supergravity, which in turn imply a very restricted set of high energy boundary conditions. By secondarily minimizing the minimum of the scalar Higgs potential, we dynamically determine the ratio tan β ≃ 15 − 20 of up-to down-type Higgs vacuum expectation values (VEVs), the universal gaugino boundary mass M 1/2 ≃ 450 GeV, and consequently also the total magnitude of the GUT-scale Higgs VEVs, while constraining the low energy Standard Model gauge couplings. In particular, this local minimum minimorum lies within the previously described "golden strip", satisfying all current experimental constraints. We emphasize, however, that the overarching goal is not to establish why our own particular universe possesses any number of specific characteristics, but rather to tease out what generic principles might govern the superset of all possible universes.

General gauge and anomaly mediated supersymmetry breaking in grand unified theories with vector-like particles

“…In the intersecting D-brane model building on Type II orientifolds where the SU(5) gauge symmetry is broken down to the SM gauge symmetry by D-brane splitting [49][50][51], and in the Mtheory on S 1 /Z 2 with Calabi-Yau manifold compactifications where the SU(5) and SO (10) gauge symmetries are respectively broken down to the SU(3) the vector-like particles in the complete GUT representations, i.e., the zero modes of some vector-like particles will be projected out. In the F-theory GUTs [20][21][22][23][24][25][26][27][28][29][30][31][32], we can also obtain the vector-like particles that do not form complete GUT multiplets. In fact, the SU(5) models, flipped SU(5) × U(1) X models [55][56][57][58][59], and SU(3)…”

“…models with additional vector-like particles have already been constructed locally in Ftheory [22,23,25,26,28,29,32]. Interestingly, we should emphasize that this is the reason why we can solve the doublet-triplet splitting problem in these kinds of model building.…”

“…Because the two-loop RGE running effects on gaugino masses are very small, we can test this gaugino mass relation at the LHC and ILC where the gaugino masses can be measured [7,8]. Recently, considering the GUTs with high-dimensional operators [4,[9][10][11][12][13][14][15][16][17][18][19] and the F-theory GUTs with U(1) fluxes [20][21][22][23][24][25][26][27][28][29][30][31][32], we generalized the mSUGRA scenario [33]. In particular,…”

“…Calabi-Yau compactifications [52,53], and F-theory with U(1) fluxes [20][21][22][23][24][25][26][27][28][29][30][31][32]. Therefore, in the GMSB and deflected AMSB, the messenger fields do not need to form complete SU (5) or SO (10) representations.…”

“…Because M i /α i are renormalization scale invariant under one-loop RGE running and the two-loop RGE running effects are very small [31], the gaugino mass relation in Eq. (92) can be preserved very well at low energy.…”