Intermediate-scale vertex corrections for zero mode in warped space

TL;DR

This paper investigates quantum loop corrections to zero-mode vertices in a warped extra-dimensional non-Abelian gauge theory at an intermediate scale, comparing results with four-dimensional theories and discussing higher-dimensional operators.

Contribution

It provides a perturbative calculation of vertex corrections in warped space and compares these with four-dimensional results, highlighting similarities in logarithmic scaling coefficients.

Findings

Some contributions have the same logarithmic coefficient as in 4D theory.

Loop corrections are calculable perturbatively at the intermediate scale.

Discussion on higher-dimensional operator corrections.

Abstract

Non-Abelian gauge theory with a warped extra dimension is studied as a quantum field theory at an intermediate scale that is regarded as being much lower than the scale of the geometry stabilization and the Planck scale. Loop corrections for zero-mode vertices are diagrammatically calculable in perturbation at the intermediate scale. The contribution for each diagram can be compared to the correspondent in the four-dimensional theory. It is found that for a part of the contributions the coefficient for the logarithmic scaling has the same value as the four-dimensional results. A viewpoint to treat corrections associated with higher-dimensional operators is also discussed.