Stability of the Scalar Mass against Loop Corrections

TL;DR

This paper demonstrates that the physical mass of a scalar field remains stable against loop corrections when the particles in the loops are heavy, emphasizing the importance of renormalized mass in low-energy physics.

Contribution

It shows that renormalized loop corrections to scalar masses are suppressed by heavy fields, highlighting the insensitivity of low-energy scalar physics to ultraviolet details.

Findings

Loop corrections are suppressed for heavy fields in the loop.

Renormalized mass is the key observable for scalar mass stability.

Low-energy scalar physics remains unaffected by ultraviolet physics.

Abstract

We show that the renormalized loop corrections to the scalar mass are suppressed if the field in the loop is heavy. Here, treating the renormalized mass is important, as it is the only observable. This means that the physics of a low-energy scalar field is insensitive to that of ultraviolet.