Cancellation of One-loop Corrections to Scalar Masses in Flux Compactification with Higher Dimensional Operators

TL;DR

This paper demonstrates that in a six-dimensional SU(2) gauge theory with magnetic flux compactified on a torus, one-loop corrections to scalar masses are exactly canceled even when including leading higher dimensional operators.

Contribution

It provides explicit diagrammatic calculations showing the exact cancellation of one-loop scalar mass corrections with higher dimensional operators present.

Findings

One-loop corrections to scalar masses are canceled in the model.

Higher dimensional operators do not spoil the cancellation.

Explicit diagrammatic proof of cancellation is provided.

Abstract

We further study the cancellation of the one-loop corrections to the scalar mass in a six dimensional SU(2) gauge theory with higher dimensional operators, which is compactified on a torus with magnetic flux. Higher dimensional operators also contribute to the corrections to the scalar mass nontrivially. We explicitly show by the diagrammatic calculations that the corrections are exactly cancelled even with the leading terms of the higher dimensional operators.