Abstract
We extend the universal one-loop effective action (UOLEA) by operators which translate between dimensional reduction (DRED) and dimensional regularization (DREG). These regularization scheme translating operators allow for an application of the UOLEA to supersymmetric high-scale models matched to non-supersymmetric effective theories. The operators are presented in a generic, model independent form, suitable for implementation into generic spectrum generators.
Highlights
Corrections, on the other hand, spoil the convergence of the perturbation series, leading to large uncertainties in fixed-order calculations
We extend the universal one-loop effective action (UOLEA) by operators which translate between dimensional reduction (DRED) and dimensional regularization (DREG)
In order to avoid repetition in the derivation of all possible Effective field theories (EFTs) Lagrangians, the universal one-loop effective action (UOLEA) has been developed [4,5,6]. It provides generic expressions for the Wilson coefficients of the operators of the effective Lagrangian up to 1-loop level and dimension six. These generic expressions are well suited to be implemented into generic spectrum generators such as FeynRules [7,8,9,10], FlexibleSUSY [11, 12] or SARAH [13,14,15,16] to calculate precise predictions in all possible low-energy EFTs in a fully automated way
Summary
In DRED an infinite dimensional space is introduced, which has the characteristics of a 4-dimensional space, denoted as Q4S. After the gauge field has been split in this way, the Lagrangian may contain the following additional terms with -scalars,. In the following we denote any projection of a Lorentz tensor T σρ··· onto Q S by Tμν··· = gσμgρν · · · T σρ···. In the limit → 0 this effectively results in a change of the regularization scheme from DRED to DREG. The resulting additional finite 1-loop operators that appear in the “effective” Lagrangian can be absorbed by a re-definition of the fields and the running parameters, leading to the same parameter relations given in ref. The resulting additional finite 1-loop operators that appear in the “effective” Lagrangian can be absorbed by a re-definition of the fields and the running parameters, leading to the same parameter relations given in ref. [19]
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