[Paper Review] A Model with a Cosmographic Landscape

Fritz Bopp|ArXiv.org|Feb 16, 2007

Computational Physics and Python Applications2 references3 citations

TL;DR

This paper proposes a cosmographic vacuum model where fermion masses arise from condensates in a rich, cosmologically structured vacuum rather than fundamental Higgs couplings. Unlike the Standard Model, Higgs-like bosons in this framework do not preferentially decay into heavy flavors, suggesting distinct experimental signatures—such as multi-TeV dijet final states—at the LHC, challenging conventional Higgs search strategies.

ABSTRACT

To argue against a too narrow focus in the LHC Higgs search, a simpleminded model with a rich "cosmographic" vacuum structure for the generation of masses is developed on a conceptual level. In this framework Higgs like bosons which could exist in the LHC mass range have no preference to decay in heavy flavors.

Motivation & Objective

• To challenge the narrow focus on Standard Model-like Higgs decays in LHC searches by proposing an alternative mass generation mechanism.
• To address the hierarchy problem by attributing vacuum energy scales to cosmological evolution rather than fundamental physics.
• To motivate experimental searches for Higgs-like bosons decaying into light fermions, particularly dijets at multi-TeV energies.
• To explore the implications of a non-universal, cosmographically structured vacuum for particle masses and symmetry breaking.
• To suggest that variations in chiral symmetry breaking across cosmographic domains could leave detectable spectroscopic imprints.

Proposed method

• Proposes a cosmographic vacuum with accidental, large-scale structure where fermion masses emerge from condensation of composite states.
• Models fermion masses via effective couplings to Higgs fields $ h_{ij} $, where $ m_{ij} = \widetilde{g} \langle h_{ij} \rangle $, replacing standard model coupling constants.
• Introduces a time-dependent vacuum energy density $ \mu_{\text{vac.}} = 1/(\kappa(t - t_0)) $, leading to a power-law decay and cosmological-scale condensate extension.
• Applies the Operator Product Expansion to derive low-energy effective theory with purely Lorentz-scalar couplings to the cosmographic vacuum.
• Analyzes Higgs-like boson decays under the assumption that couplings are determined by pure physics, not small parameters, leading to no preference for heavy-flavor decays.
• Uses constraints from LEP and Fermilab dijet data to bound the mass of such Higgs-like states above 189 GeV and 1 TeV, respectively.

Experimental results

Research questions

• RQ1 Can fermion masses arise from a cosmographically structured vacuum rather than fundamental Higgs couplings?
• RQ2 What are the experimental signatures of Higgs-like bosons that do not preferentially decay into heavy flavors?
• RQ3 How does a time-evolving cosmographic vacuum resolve the hierarchy problem?
• RQ4 Can variations in chiral symmetry breaking across cosmographic domains lead to detectable shifts in nuclear masses or spectroscopic constants?
• RQ5 What constraints do existing dijet searches at LEP and Fermilab place on the mass scale of such Higgs-like states?

Key findings

• The model predicts that Higgs-like bosons in the LHC mass range would not preferentially decay into heavy flavors, unlike in the Standard Model.
• Dijet final states with multi-TeV invariant mass are expected to be dominant, based on the absence of suppression for light fermion couplings.
• The vacuum energy density evolves as $ \mu_{\text{vac.}} = 1/(\kappa(t - t_0)) $, leading to a cosmological-scale condensate size consistent with the age of the universe.
• The model resolves the hierarchy problem by shifting the origin of the weak scale to cosmological evolution rather than fine-tuning.
• The top quark mass is reproduced via a cancellation mechanism involving $ b\overline{b} $ and $ t\overline{t} $ contributions, with interference effects enabling $ m_t/m_b \approx 20 $.
• A potential signal for non-universal vacuum structure is a $ 10^{-5} $ variation in the fine structure constant, possibly linked to a $ 10^{-2} $ shift in nuclear radius and mass in a visible cosmographic domain.