EFT Diagrammatica II: Tracing the UV origin of bosonic D6 CPV and D8 SMEFT operators

TL;DR

This paper extends a diagrammatic approach to trace the ultraviolet origins of bosonic SMEFT operators up to dimension-8, enhancing understanding of how high-energy theories influence low-energy observables.

Contribution

It introduces a comprehensive diagrammatic method for identifying the UV roots of bosonic SMEFT operators up to dimension-8, expanding previous work on lower-dimensional operators.

Findings

Catalogued Feynman diagrams linking operators to heavy field propagators.

Extended diagrammatic techniques to all bosonic operators up to dimension-8.

Provided a systematic framework for connecting SMEFT operators with UV models.

Abstract

In recent times, SMEFT, along with a superlative repertoire of theoretical and computational tools, has emerged as an efficacious platform to test the viability of proposed BSM scenarios. With symmetry as the backbone, higher mass dimensional ($\geq 5$) SMEFT operators constitute the \textit{lingua franca} for studying and comparing the direct or indirect effects of UV models on low energy observables. The steady increase in the accessible energy scales for contemporary particle collision experiments prompts us to inspect effective operators beyond the leading order and investigate their measurable impact as well as their connections with the appropriate BSM proposals. We take the next step in delineating the possible UV roots of SMEFT operators by extending our diagrammatic approach, previously employed for CP, baryon, and lepton number conserving dimension-6 operators, to the complete set of purely bosonic SMEFT operators up to mass dimension-8. We catalogue a diverse array of Feynman diagrams elucidating how the operators encapsulate heavy field propagators while abiding by a notion of minimalism.