Two-loop dimension Six Effective Action: Integrating Out Heavy Scalar

TL;DR

This paper derives the two-loop effective action up to dimension six after integrating out heavy scalars using the Heat-Kernel method, providing model-independent results and applying them to specific scalar models.

Contribution

It introduces a model-independent two-loop effective action framework up to dimension six employing the Heat-Kernel method, including fermionic operators, with applications to electroweak scalar models.

Findings

Derived two-loop effective operators for heavy scalars

Computed fermionic effective operators up to dimension six

Applied results to electroweak triplet and doublet scalar models

Abstract

For the first time, we present the model-independent two-loop effective action up to dimension six after integrating out heavy scalar(s) employing the Heat-Kernel method. We compute the effective operators that emerge at two-loop for two example models: heavy electroweak complex Triplet and Doublet scalars. We present our results on the SILH basis. We also capture the effect in the fermion sector. For these two scenarios, we compute all the fermionic effective operators up to dimension six.