Preprint

PUBDB-2020-05285

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Comments on gauge anomalies at dimension-six in the Standard Model Effective Field Theory

Bonnefoy, Q. (Corresponding author)DESY* ; Di Luzio, L.DESY* ; Grojean, C.DESY* ; Paul, A.DESY* ; Rossia, A. N.DESY*

2020

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Please use a persistent id in citations: doi:10.3204/PUBDB-2020-05285

Report No.: DESY-20-220; HU-EP-20/40; arXiv:2012.07740

Abstract: We question the use of triangle diagrams in the broken phase of the Standard Model Effective Field Theory (SMEFT) to derive sum-rules on certain dimension-six coefficients, as recently put forward by Cata, Kilian and Kreher in Ref. [arXiv:2011.09976]. Indeed, the aforementioned sum-rules are violated at tree level in simple consistent BSM scenarios. The underlying reason is that gauge-invariant combinations of Goldstone bosons and massive gauge fields are allowed to couple to matter currents which are not conserved. We show this in a toy model by computing the relevant triangle diagrams, as well as by working out Wess--Zumino terms in the bosonic EFT below all fermion masses. The same approach applies also to the Standard Model and it provides a convenient and unusual way to check that the SM is anomaly free. We then apply similar techniques to the SMEFT in presence of various dimension-6 operators.

Keyword(s): new physics ; standard model ; effective field theory ; operator: dimension: 6 ; sum rule: violation ; loop integral: 3 ; gauge field theory: massive ; gauge field theory: effective action ; Wess-Zumino term: anomaly ; anomaly: gauge

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF3-611) (POF3-611)
2. EXC 2121 - Das Quantisierte Universum (390833306) (390833306)
3. AXIONRUSH - Rethinking Ultraviolet Scenarios for Hunting the AXION (840791) (840791)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2020

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Database coverage:
; Published

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Bonnefoy, Q. R. C.DESY* ; Di Luzio, L. (Corresponding author)Extern* ; Grojean, C.DESY* ; Paul, A.DESY* ; Rossia, A. N.DESY*
Comments on gauge anomalies at dimension-six in the Standard Model Effective Field Theory
Journal of high energy physics 05(5), 153 (2021) [10.1007/JHEP05(2021)153]2021     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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