# On new physics searches with multidimensional differential shapes

## TL;DR

This paper explores how multidimensional differential rates can enhance model discrimination in LHC new physics searches, despite limited impact on discovery potential, and discusses related systematic uncertainties.

## Contribution

It provides a detailed analysis of the role of multidimensional shape information in LHC analyses and highlights subtle effects affecting their interpretability.

## Key findings

- Multidimensional rates improve model discrimination.
- Limited impact on discovery sensitivity.
- Systematic uncertainties and interference effects are critical considerations.

## Abstract

In the context of upcoming new physics searches at the LHC, we investigate the impact of multidimensional differential rates in typical LHC analyses. We discuss the properties of shape information, and argue that multidimensional rates bring limited information in the scope of a discovery, but can have a large impact on model discrimination. We also point out subtleties about systematic uncertainties cancellations and the Cauchy-Schwarz bound on interference terms.