## SciPost Submission Page

# Multi-scale Mining of Kinematic Distributions with Wavelets

### by Ben G. Lillard, Tilman Plehn, Alexis Romero, Tim M. P. Tait

### Submission summary

As Contributors: | Benjamin Lillard · Tilman Plehn · Tim Tait |

Arxiv Link: | https://arxiv.org/abs/1906.10890v3 |

Date accepted: | 2020-02-14 |

Date submitted: | 2020-02-05 |

Submitted by: | Lillard, Benjamin |

Submitted to: | SciPost Physics |

Discipline: | Physics |

Subject area: | High-Energy Physics - Phenomenology |

Approaches: | Theoretical, Experimental |

### Abstract

Typical LHC analyses search for local features in kinematic distributions. Assumptions about anomalous patterns limit them to a relatively narrow subset of possible signals. Wavelets extract information from an entire distribution and decompose it at all scales, simultaneously searching for features over a wide range of scales. We propose a systematic wavelet analysis and show how bumps, bump-dip combinations, and oscillatory patterns are extracted. Our kinematic wavelet analysis kit KWAK provides a publicly available framework to analyze and visualize general distributions.

###### Current status:

Editorial decision:
For Journal SciPost Physics: Publish

(status: Editorial decision fixed and (if required) accepted by authors)

### Author comments upon resubmission

### List of changes

1. In Fig.1, Fig.4 and Fig.5 we have added the original injected signal in the second panel of each plot.

2. In Section 2.1 we have added text to clarify that the discrete signal "f_j" and the function "f(x)" represent the same distribution.

3. We have added a paragraph in Sec. 2.3. to introduce the fixed resolution global significance (FRGS) in the body of the paper.

4. In Section 3.1 on page 10 we add a paragraph describing how the fraction of wavelet coefficients to use in the signal reconstruction in Fig.4 provides primarily a qualitative description of the excess signal, and that the choice to use 3%, 5%, 10% or some other fraction does not affect the statistical analysis.

### Submission & Refereeing History

## Reports on this Submission

### Anonymous Report 1 on 2020-2-7 Invited Report

### Report

The new draft is noticeably improved, easier to read, and more useful as a reference.