# The Gauge-Higgs Legacy of the LHC Run II

## TL;DR

This paper performs a comprehensive analysis of Higgs and electroweak data from LHC Run II, highlighting the importance of combining rate measurements with electroweak precision observables for effective operator constraints.

## Contribution

It introduces the SFitter framework for analyzing LHC data, enabling inclusion of kinematic distributions and correlation studies beyond standard observables.

## Key findings

- LHC Run II data constrains Higgs-related operators effectively.
- Combining rate and electroweak observables enhances precision.
- The SFitter framework improves analysis flexibility and accuracy.

## Abstract

We present a global analysis of the Higgs and electroweak sector based on LHC Run II and electroweak precision observables. We show which measurements provide the leading constraints on Higgs-related operators, and how the achieved LHC precision makes it necessary to combine rate measurements with electroweak precision observables. The SFitter framework allows us to include kinematic distributions beyond pre-defined ATLAS and CMS observables, independently study correlations, and avoid Gaussian assumptions for theory uncertainties. These Run II results are a step towards a precision physics program at the LHC, interpreted in terms of effective operators.