Indications on the Higgs boson mass from lattice simulations

TL;DR

Lattice simulations challenge traditional perturbative predictions of the Higgs boson mass, showing that large Higgs masses can exist independently of the ultraviolet cutoff, with implications for the Standard Model.

Contribution

The paper provides non-perturbative lattice simulation results demonstrating that the vacuum field and quantum fluctuations do not rescale identically, allowing for large Higgs masses at infinite cutoff.

Findings

Large Higgs masses can coexist with infinite cutoff.

Simulation results suggest Higgs mass up to 760 GeV independently of cutoff.

Contradicts traditional perturbative assumptions about vacuum rescaling.

Abstract

The `triviality' of $\Phi^4_4$ has been traditionally interpreted within perturbation theory where the prediction for the Higgs boson mass depends on the magnitude of the ultraviolet cutoff $\Lambda$. This approach crucially assumes that the vacuum field and its quantum fluctuations rescale in the same way. The results of the present lattice simulation, confirming previous numerical indications, show that this assumption is not true. As a consequence, large values of the Higgs mass $m_H$ can coexist with the limit $\Lambda\to \infty $. As an example, by extrapolating to the Standard Model our results obtained in the Ising limit of the one-component theory, one can obtain a value as large as $m_H=760 \pm 21$ GeV, independently of $\Lambda$.