Comments on gauge anomalies at dimension-six in the Standard Model Effective Field Theory

Bonnefoy, Quentin René Christian; Grojean, Christophe; Rossia, Alejo N.; Paul, Ayan; Di Luzio, Luca

doi:10.1007/JHEP05(2021)153

Journal Article

PUBDB-2022-01011

Comments on gauge anomalies at dimension-six in the Standard Model Effective Field Theory

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

2021
SISSA [Trieste]

Journal of high energy physics 05(5), 153 (2021) [10.1007/JHEP05(2021)153]

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Please use a persistent id in citations: doi:10.1007/JHEP05(2021)153 doi:10.3204/PUBDB-2022-01011

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

Abstract: We study whether higher-dimensional operators in effective field theories, in particular in the Standard Model Effective Field Theory (SMEFT), can source gauge anomalies via the modification of the interactions involved in triangle diagrams. We find no evidence of such gauge anomalies at the level of dimension-6 operators that can therefore be chosen independently to each others without spoiling the consistency of SMEFT, at variance with recent claims. 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 directly to the Standard Model both at the renormalisable level, providing a convenient and unusual way to check that the SM is anomaly free, as well as at the non-renormalisable level in SMEFT.

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 ; Anomalies in Field and String Theories ; Beyond Standard Model ; Effective Field Theories ; Gauge Symmetry

Classification:

ddc:530

Note: JHEP 05 (2021) 153. JHEP05(2021)153. 17 pages, 5 figures, 2 appendices. v2: version published in JHEP, one new appendix on Ward-Takahashi identities in the unbroken phase

Contributing Institute(s):

Theorie-Gruppe (T)

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No specific instrument

Appears in the scientific report 2021

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