Shift-Symmetries at Higher Order

TL;DR

This paper investigates the persistence of shift-symmetries in effective string models beyond tree-level, demonstrating their restoration in certain compactifications through explicit one-loop calculations of the Kaehler potential.

Contribution

It provides the first explicit one-loop verification that shift-symmetries are restored in specific asymmetric compactifications in string models.

Findings

Shift-symmetries are expected to be restored at all orders in certain compactifications.

Explicit one-loop calculations confirm the restoration of shift-symmetries.

Shift-symmetries may help maintain a small Higgs mass and aid cosmological relaxation schemes.

Abstract

The fate of shift-symmetries in effective string models is considered beyond tree-level. Such symmetries have been proposed in the past as a way to maintain a hierarchically small Higgs mass and also play a role in schemes of cosmological relaxation. It is argued that on general grounds one expects shift-symmetries to be restored in the limit of certain asymmetric compactifications, to all orders in perturbation theory. This behaviour is verified by explicit computation of the Kaehler potential to one-loop order.