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One loop verification of SMEFT Ward Identities
by T. Corbett, M. Trott
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Submission summary
| Authors (as registered SciPost users): | Tyler Corbett |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202103_00001v1 (pdf) |
| Date submitted: | 2021-03-01 17:08 |
| Submitted by: | Corbett, Tyler |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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Abstract
We verify Standard Model Effective Field Theory Ward identities to one loop order when background field gauge is used to quantize the theory. The results we present lay the foundation of next to leading order automatic generation of results in the SMEFT, in both the perturbative and non-perturbative expansion using the geoSMEFT formalism, and background field gauge.
Current status:
Reports on this Submission
Report #2 by Anonymous (Referee 2) on 2021-5-15 (Invited Report)
- Cite as: Anonymous, Report on arXiv:scipost_202103_00001v1, delivered 2021-05-15, doi: 10.21468/SciPost.Report.2920
Report
In this manuscript the authors check a selection of one-loop Ward
identities in the SMEFT using the background field method. Although
such calculations are already available in the literature they have
not been previously compiled in this complete fashion in a single
reference. This will be a useful resource as the precision of the data
necessitates the inclusion of one-loop SMEFT effects in future
studies.
Before publication I encourage the authors to tone down a provocative
statement made in conclusions. They state that the use of the Background Field Method is "arguably essential" in the SMEFT, as it is an effective
theory that contains a Higgs field. I disagree with this statement;
consistent one-loop calculations in the SMEFT have been made using
other approaches.
With this minor change I recommend the paper for publication.
Report #1 by Anonymous (Referee 3) on 2021-3-22 (Invited Report)
- Cite as: Anonymous, Report on arXiv:scipost_202103_00001v1, delivered 2021-03-22, doi: 10.21468/SciPost.Report.2725
Strengths
The authors verify Ward identities in the Standard Model Effective Field Theory, using the background field gauge. This remarkable technical exercise is detailed extensively.
Weaknesses
Such a verification appears rather academic and its intrinsic usefulness is unclear to me. As a consistency check, I understand it helped to validate the computer code presented in a companion paper but, on its own, does not seem to warrant publication as original research material. It does not present conceptual advances with respect to the existing literature, including works by the present authors and collaborators.
Report
My recommendation is therefore to not publish this manuscript.