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.
Highlights
Despite the proliferation of advanced statistical methods at the LHC, simple analyses of wellchosen kinematic distributions remain a powerful first attempt to tease out new physics with fuzzily specified characteristics
Applied to kinematic LHC data, they systematically evaluate the complete kinematic distribution, without any assumptions about the shape or scale of the potential anomaly. Because they represent an orthogonal change of basis, they maps the contents of a given number of bins onto the same number of wavelet coefficients, allowing us to mine a distribution for new physics without loss of information
In this short paper we introduce the Haar wavelet transform as a tool to search for new physics in a kinematic LHC distribution
Summary
Despite the proliferation of advanced statistical methods at the LHC, simple analyses of wellchosen kinematic distributions remain a powerful first attempt to tease out new physics with fuzzily specified characteristics. Applied to kinematic LHC data, they systematically evaluate the complete kinematic distribution, without any assumptions about the shape or scale of the potential anomaly Because they represent an orthogonal change of basis, they maps the contents of a given number of bins onto the same number of wavelet coefficients, allowing us to mine a distribution for new physics without loss of information. In this short paper we introduce the Haar wavelet transform as a tool to search for new physics in a kinematic LHC distribution. Appendices include some details of the statistical analysis, and introduce our publicly available Python analysis package, KWAK
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
