Curvature induced running of the cosmological constant

TL;DR

This paper studies how space-time curvature affects the running of the cosmological constant within the Standard Model, finding that for certain couplings, the induced changes stay within observational limits.

Contribution

It provides a calculation of the curvature-induced running of the cosmological constant using a scheme that respects decoupling, which is a novel approach.

Findings

Induced contributions remain below observational bounds for non-minimal coupling 4.

Uses a subtraction scheme consistent with the Appelquist-Carazzone theorem.

Analyzes the impact of space-time curvature on the electroweak vacuum.

Abstract

In this work we investigate the renormalization group flow of the cosmological constant $\Lambda$ induced by the change in space-time curvature in the electroweak vacuum. We calculate the generic magnitude resulting from running in the standard model in a subtraction scheme that respects the Appelquist-Carazzone decoupling theorem. Interestingly, we find in this prescription that for a non-minimal coupling $\xi\lesssim 10^4$ the magnitude of the generated contribution remains below the value consistent with observations.