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

Autor: Bonnefoy, Quentin, Di Luzio, Luca, Grojean, Christophe, Paul, Ayan, Rossia, Alejo N.
Jazyk: angličtina
Rok vydání: 2020
Předmět:
DOI: 10.3204/pubdb-2020-05285
Popis: 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.
Databáze: OpenAIRE