Naturalizing Gravity of the Quantum Fields, and the Hierarchy Problem

TL;DR

This paper proposes a novel approach to incorporate gravity into the Standard Model, addressing the hierarchy problem by linking UV scale effects to spacetime curvature, and suggests this mechanism reduces the need for new particles at colliders.

Contribution

It introduces a mechanism where the hierarchy problem is solved through the transmutation of Higgs mass into curvature coupling, integrating gravity with the Standard Model without new collider particles.

Findings

Gravity can be incorporated into the SM via curvature, solving the hierarchy problem.

The Higgs mass is transformed into a curvature coupling, alleviating the hierarchy.

The cosmological constant problem is mitigated by energy-matter metamorphosis.

Abstract

It is shown that gravity can be incorporated into the Standard Model (SM) in a way solving the hierarchy problem. For this, the SM effective action in flat spacetime is adapted to curved spacetime via not only the general covariance but also the gauge invariance. For the latter, gauge field hard masses, induced by loops at the UV scale $\Lambda$, are dispelled by construing $\Lambda$ as the constant value assigned to curvature. This gives way to an unprecedented mechanism for incorporating gravity into the SM in that the hierarchy problem is solved by transmutation of the Higgs boson $\Lambda^2$--mass into the Higgs-curvature coupling, and the cosmological constant problem is alleviated by metamorphosis of the vacuum $\Lambda^4$--energy into the Einstein-Hilbert term. Gravity emerges correctly if the SM is accompanied by a secluded dark sector sourcing non-interacting dark matter, dark energy and dark radiation. Physics beyond the SM, containing Higgs-phobic scalars that resolve the strong CP problem, flavor problem, baryogenesis and inflation, respects the hierarchy. Majorana neutrinos are naturally incorporated if $\Lambda$ lies at the see-saw scale. This mechanism, in general, leaves no compelling reason to anticipate new particles at the LHC or higher-energy colliders.