The one-loop tadpole in the geoSMEFT

TL;DR

This paper presents the first calculation of a one-loop amplitude beyond leading order in the geoSMEFT, utilizing geometric formulation to compute tadpole diagrams to all orders, paving the way for advanced observable calculations.

Contribution

It introduces a novel methodology for calculating one-loop amplitudes in the geoSMEFT framework beyond leading order.

Findings

First all-orders one-loop tadpole calculation in geoSMEFT

Demonstrates potential for extending to other observables

Establishes a foundation for future higher-order computations

Abstract

Making use of the geometric formulation of the Standard Model Effective Field Theory we calculate the one-loop tadpole diagrams to all orders in the Standard Model Effective Field Theory power counting. This work represents the first calculation of a one-loop amplitude beyond leading order in the Standard Model Effective Field Theory, and discusses the potential to extend this methodology to perform similar calculations of observables in the near future.