From the EFT to the UV: the complete SMEFT one-loop dictionary

TL;DR

This paper provides a comprehensive one-loop dictionary linking the Standard Model EFT at dimension six with various UV completions, enhancing tools for phenomenological analysis.

Contribution

It presents the complete one-loop dictionary for SMEFT at dimension six with arbitrary heavy fermions and scalars, expanding the SOLD package.

Findings

Enhanced SOLD package with new functionalities

Complete one-loop dictionary for SMEFT at dimension six

Application to B-meson decay tension analysis

Abstract

Effective field theories (EFTs) provide an excellent framework for the search of heavy physics beyond the Standard Model, using the so-called bottom-up and top-down approaches. However, the vastness of possible UV scenarios makes the complete connection between the two approaches a difficult challenge at the loop-level. UV/IR dictionaries fill precisely this gap, efficiently connecting the EFT with the UV. In this work we present the complete one-loop dictionary for the Standard Model EFT at dimension six for completions with an arbitrary number of heavy fermions and scalars. Our results (as well as several new functionalities) are added to the previously partial package SOLD. In this new form, SOLD is prepared to serve as an important guiding tool for systematic and complete phenomenological studies. To illustrate this, we use the package to explore possible explanations for the tension on the measurement of $\mathcal{B}(B\rightarrow K \overline{\nu}\nu)$.