Connecting Scales: RGE Effects in the SMEFT at the LHC and Future Colliders

TL;DR

This paper systematically evaluates how Renormalisation Group Equations (RGEs) influence global SMEFT fits across different energy scales, highlighting their importance for precision measurements at current and future colliders.

Contribution

It provides a comprehensive assessment of RGE effects in SMEFT analyses, including QCD, electroweak, and Yukawa corrections, and explores their impact on collider sensitivities and UV model matching.

Findings

RGE effects significantly alter SMEFT fit results across energy scales.

Inclusion of RGEs improves the accuracy of collider-based new physics searches.

RGE considerations are crucial for interpreting future collider data in SMEFT.

Abstract

Global interpretations of particle physics data within the framework of the Standard Model Effective Field Theory (SMEFT), including their matching to UV-complete models, involve energy scales potentially spanning several orders of magnitude. Relating these measurements among them in terms of a common energy scale is enabled by the Renormalisation Group Equations (RGEs). Here we present a systematic assessment of the impact of RGEs, accounting for QCD, electroweak, and Yukawa corrections, in a global SMEFT fit of LEP and LHC data where individual cross-sections are assigned a characteristic energy scale. We also quantify the impact of the RGE effects in projected global fits at the HL-LHC and the FCC-ee. Finally, we assess the role that RGEs play on the sensitivity at HL-LHC and FCC-ee to representative one-particle UV models matched onto SMEFT either at tree and one-loop level. Our study emphasizes the importance of a consistent treatment of energy scales to achieve the best precision and accuracy in indirect searches for heavy new physics through precision measurements.