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Renormalizable Extension of the Abelian Higgs-Kibble Model with a Dim.6 Derivative Operator
by Daniele Binosi, Andrea Quadri
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Andrea Quadri |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2212.02453v2 (pdf) |
| Date accepted: | 2023-08-11 |
| Date submitted: | 2023-03-02 17:37 |
| Submitted by: | Quadri, Andrea |
| Submitted to: | SciPost Physics Proceedings |
| Proceedings issue: | 34th International Colloquium on Group Theoretical Methods in Physics (GROUP2022) |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We present a new approach to the consistent subtraction of a non power-counting renormalizable extension of the Abelian Higgs-Kibble (HK) model supplemented by a dim.6 derivative-dependent operator controlled by the parameter $z$. A field-theoretic representation of the physical Higgs scalar by a gauge-invariant variable is used in order to formulate the theory by exploiting a novel differential equation, controlling the dependence of the quantized theory on $z$. These results pave the way to the consistent subtraction by a finite number of physical parameters of some non-power-counting renormalizable models possibly of direct relevance to the study of the Higgs potential at the LHC.
Author comments upon resubmission
List of changes
The following changes have been made:
- at page 2 the third paragraph has been added in order to clarify predictivity of the effective field theories up to a given energy scale $\Lambda$
- at page 3 the last four paragraphs of Sect. 1 have been expanded in order to state that the main result of the paper, namely the algebraic reconstruction of the amplitudes of the model at $z\neq 0$ via the solution to the $z$-differential equation, also applies to effective field theories
- the second and third paragraphs of the Conclusion have been correspondingly reformulated.
Published as SciPost Phys. Proc. 14, 019 (2023)