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Novel Bounds From The Weak Gravity and Festina Lente Conjectures

Fayez Abu-Ajamieh, Pratik Chattopadhyay, Nobuchika Okada, Roman Pasechnik, Zhi-Wei Wang

Abstract

We demonstrate that the Weak Gravity Conjecture (WGC) and the Festina-Lente Conjecture (FLC) yield novel bounds on fifth force searches and milli-Charged Particles (mCPs), as well as on the scale of inflation and on the effective Higgs quartic interaction. In particular, we find that combining the FLC with inflation leads to stronger bounds on mCPs than what the simple application of the FLC provides. Furthermore, we have explored the implications of naturalness on both the FLC and WGC, and have found that these conjectures place a lower limit on the charge of a $U(1)$ gauge group.

Novel Bounds From The Weak Gravity and Festina Lente Conjectures

Abstract

We demonstrate that the Weak Gravity Conjecture (WGC) and the Festina-Lente Conjecture (FLC) yield novel bounds on fifth force searches and milli-Charged Particles (mCPs), as well as on the scale of inflation and on the effective Higgs quartic interaction. In particular, we find that combining the FLC with inflation leads to stronger bounds on mCPs than what the simple application of the FLC provides. Furthermore, we have explored the implications of naturalness on both the FLC and WGC, and have found that these conjectures place a lower limit on the charge of a gauge group.

Paper Structure

This paper contains 8 sections, 27 equations, 3 figures.

Table of Contents

  1. Introduction
  2. The FLC and fifth force searches
  3. The Magnetic FLC and its applications
  4. The Higgs Instability
  5. Inflation and milli-charged particles
  6. The scale of inflation
  7. The FLC and Naturalness
  8. Conclusions

Figures (3)

  • Figure 1: Upper bound on $\lambda_{\text{eff}}$ as a function of the scale of NP $\Lambda$.
  • Figure 2: Bounds on the mCPs parameter space. The one implied by the FLC from inflation from Eq. (\ref{['eq:Inf_FL_mCP_bound']}) is shown in light blue, superimposed with the existing experimental constraints. In addition, we also show the bound implied by naive application of the FLC as suggested by Eq. (\ref{['eq:FL']}) from Ban:2022jgm. The inflationary bound is much stronger than the one obtained from the naive FLC application.
  • Figure :