Is the Standard Model in the Swampland? Consistency Requirements from Gravitational Scattering

Katsuki Aoki,Tran Quang Loc,Toshifumi Noumi,Junsei Tokuda

doi:10.1103/physrevlett.127.091602

Katsuki Aoki, Tran Quang Loc + Show 2 more

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https://doi.org/10.1103/physrevlett.127.091602

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Abstract

We study compatibility of the standard model of particle physics and general relativity by means of gravitational positivity bounds, which provide a necessary condition for a low-energy gravitational theory to be UV completable within the weakly coupled regime of gravity. In particular, we identify the cutoff scale of the standard model coupled to gravity by studying consistency of light-by-light scattering. While the precise value depends on details of the Pomeron effects in QCD, the cutoff scale reads 10^{16} GeV if the single-Pomeron exchange picture works well up to this scale. We also demonstrate that the cutoff scale is lowered to 10^{13} GeV if we consider the electroweak theory without the QCD sector.

Highlights

Introduction.—When does general relativity (GR) meet the standard model (SM) of particle physics? It is widely accepted to study gravitational interactions and particle interactions independently due to the large hierarchy between these forces; it is widely believed that all the interactions are unified by quantum gravity
We study compatibility of the standard model of particle physics and general relativity by means of gravitational positivity bounds, which provide a necessary condition for a low-energy gravitational theory to be UV completable within the weakly coupled regime of gravity
Gravitational positivity.—In this Letter, we focus on the light-by-light scattering γγ → γγ in the SM coupled to GR, 0031-9007=21=127(9)=091602(6)

Summary

Introduction

Introduction.—When does general relativity (GR) meet the standard model (SM) of particle physics? It is widely accepted to study gravitational interactions and particle interactions independently due to the large hierarchy between these forces; it is widely believed that all the interactions are unified by quantum gravity. Katsuki Aoki ,1 Tran Quang Loc,2 Toshifumi Noumi,3 and Junsei Tokuda 3 We study compatibility of the standard model of particle physics and general relativity by means of gravitational positivity bounds, which provide a necessary condition for a low-energy gravitational theory to be UV completable within the weakly coupled regime of gravity.

Results

Conclusion