# Non-minimal Higgs-gravity coupling and naturalness at the LHC and beyond

## TL;DR

This paper investigates the bounds on the non-minimal Higgs-gravity coupling using LHC data and explores future constraints at upcoming colliders, analyzing its implications for naturalness in particle physics.

## Contribution

It provides the first comprehensive analysis of experimental bounds on the Higgs-gravity coupling and discusses its impact on naturalness at current and future colliders.

## Key findings

- LHC Run-2 data constrains the coupling $\xi$
- Future colliders can improve bounds on $\xi$
- Implications for naturalness are discussed

## Abstract

The non-minimal Higgs-gravity coupling, $\xi H^\dagger H R$, can play an interesting role in particle physics. We utilize the available LHC Run-2 data to obtain the bound on the coupling $\xi$ and discuss the prospects of constraining it at CEPC, FCC-ee and ILC. Also, we investigate its implication on the naturalness.