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Gauge Fixing the Standard Model Effective Field Theory.

Andreas Helset¹, Michael Paraskevas², Michael Trott¹

¹Niels Bohr International Academy and Discovery Centre, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100 Copenhagen, Denmark.

Physical Review Letters

|July 7, 2018

Summary

We developed a new method to fix the gauge in the Standard Model Effective Field Theory. This approach is invariant under background-field gauge transformations, using a geometric description of field connections.

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Area of Science:

High Energy Physics
Theoretical Physics
Quantum Field Theory

Background:

The Standard Model Effective Field Theory (SMEFT) is crucial for understanding physics beyond the Standard Model.
Gauge fixing is a necessary procedure in quantum field theory calculations.
Background-field gauge transformations are essential for maintaining gauge invariance in theories with background fields.

Purpose of the Study:

To develop a novel gauge-fixing procedure for the SMEFT.
To ensure gauge invariance under background-field gauge transformations.
To utilize a geometric description of field connections for this purpose.

Main Methods:

Applying a geometric framework to describe field connections.
Implementing a gauge-fixing procedure that respects background-field gauge invariance.
Working within the context of the Standard Model Effective Field Theory.

Main Results:

A gauge-fixing method for SMEFT that is invariant under background-field gauge transformations has been established.
The geometric description of field connections provides a consistent framework for this gauge fixing.

Conclusions:

The developed gauge-fixing method offers a robust and consistent approach for SMEFT calculations.
This work provides a foundation for further investigations into the theoretical and phenomenological aspects of SMEFT.