[Paper Review] No-Scale Multiverse Blueprints at the LHC

Tianjun Li, James A. Maxin+2 more|arXiv (Cornell University)|Feb 2, 2012

Particle physics theoretical and experimental studies86 references3 citations

TL;DR

This paper proposes a No-Scale ${\cal F}$-SU(5)$ multiverse framework within F-theory flux compactifications, using dynamic Super No-Scale conditions to identify stable electroweak symmetry breaking vacua (minimum minimorum, MM) as viable universes. It demonstrates that a benchmark point with $M_{1/2} = 518$ GeV and $M_V = 1640$ GeV predicts a Higgs mass of 125.4 GeV and explains LHC multi-jet excesses, projecting a 5σ significance at 5 fb⁻¹ in CMS, supporting the model as a testable blueprint for a string-theory-based multiverse.

ABSTRACT

We review the blueprints of the No-Scale multiverse and the LHC search.

Motivation & Objective

• To construct a local dominion of universes within the string landscape using No-Scale Supergravity as a foundation.
• To identify viable electroweak symmetry breaking vacua via secondary minimization of the Higgs potential under the Super No-Scale condition.
• To test the phenomenological viability of the ${\cal F}$-SU(5)$ model against early LHC data, particularly multi-jet excesses.
• To explore whether experimental signals at the LHC could provide evidence for a multiverse rooted in F-theory and No-Scale supergravity.

Proposed method

• Employing precision numerical analysis to classify features of the No-Scale ${\cal F}$-SU(5)$ multiverse within a local neighborhood of our universe’s phenomenology.
• Applying the dynamic Super No-Scale condition to minimize scalar Higgs potential minima, selecting only legitimate electroweak symmetry breaking vacua.
• Identifying the minimum minimorum (MM) as the dynamically selected vacuum corresponding to stabilized string-theoretic moduli.
• Simulating 2-body SUSY processes and jet production using a custom post-processing script to compare with ATLAS and CMS multi-jet search strategies.
• Projecting signal significance using Monte Carlo simulations scaled to 5 fb⁻¹ luminosity, based on benchmark parameters $M_{1/2} = 518$ GeV and $M_V = 1640$ GeV.
• Overlaying simulated No-Scale ${\cal F}$-SU(5)$ jet counts with official SM backgrounds and LHC data for $\geq$ 7 jets (ATLAS) and $\geq$ 9 jets (CMS).

Experimental results

Research questions

• RQ1 Can a continuous family of No-Scale ${\cal F}$-SU(5)$ solutions describe distinct, stable universes within the string landscape?
• RQ2 Does the dynamic selection of the minimum minimorum (MM) vacuum under the Super No-Scale condition yield a viable, phenomenologically consistent multiverse structure?
• RQ3 Can the ${\cal F}$-SU(5)$ model explain the observed LHC multi-jet excesses in the context of a supersymmetric, No-Scale framework?
• RQ4 What is the projected signal significance of the model’s predictions at 5 fb⁻¹ of integrated luminosity in ATLAS and CMS searches?
• RQ5 Can experimental confirmation of this model at the LHC serve as indirect evidence for a multiverse rooted in F-theory and No-Scale supergravity?

Key findings

• The benchmark point with $M_{1/2} = 518$ GeV and $M_V = 1640$ GeV predicts a lightest CP-even Higgs boson mass of 125.4 GeV, consistent with the observed Higgs mass.
• The model explains the observed multi-jet excesses in both ATLAS and CMS searches, with the best fit occurring near the $M_{1/2} = 518$ GeV strip.
• At 5 fb⁻¹ of integrated luminosity, the CMS search strategy with $\geq$ 9 jets projects a signal significance of 5.0, reaching the gold standard for discovery.
• The ATLAS search strategy with $\geq$ 7 jets projects a significance of 3.9 at 5 fb⁻¹, indicating strong potential for confirmation with higher luminosity.
• Values of $M_{1/2}$ below 480 GeV are excluded due to overproduction of SUSY events, while higher values struggle to achieve a sufficiently heavy Higgs.
• The continuous hypervolume of minimum minimorum (MM) vacua forms a local dominion of independent universes, with our universe as the bellwether, supporting a testable multiverse blueprint.