# Graviton fluctuations erase the cosmological constant

## TL;DR

This paper demonstrates that graviton fluctuations can dynamically reduce the cosmological constant to zero through non-perturbative infrared effects, offering a potential solution to the cosmological constant problem and implications for dark energy and Higgs physics.

## Contribution

It introduces a simple computation showing how graviton fluctuations drive the cosmological constant to zero and predicts a positive anomalous dimension for the Higgs quartic coupling in quantum gravity.

## Key findings

- The cosmological constant asymptotically vanishes in the future.
- Graviton fluctuations induce a sizeable positive anomalous dimension for the Higgs quartic.
- The potential for scalar fields increases at most quadratically with the scalar field.

## Abstract

Graviton fluctuations induce strong non-perturbative infrared renormalization effects for the cosmological constant. The functional renormalization flow drives a positive cosmological constant towards zero, solving the cosmological constant problem without the need to tune parameters. We propose a simple computation of the graviton contribution to the flow of the effective potential for scalar fields. Within variable gravity we find that the potential increases asymptotically at most quadratically with the scalar field. With effective Planck mass proportional to the scalar field, the solutions of the derived cosmological equations lead to an asymptotically vanishing cosmological "constant" in the infinite future, providing for dynamical dark energy in the present cosmological epoch. Beyond a solution of the cosmological constant problem, our simplified computation also entails a sizeable positive graviton-induced anomalous dimension for the quartic Higgs coupling in the ultraviolet regime, substantiating the successful prediction of the Higgs boson mass within the asymptotic safety scenario for quantum gravity.