# 14th International Workshop on Boosted Object Phenomenology, Reconstruction, Measurements and Searches in HEP

Aug 15 – 19, 2022
University of Hamburg
Europe/Zurich timezone

## Can You Hear the Shape of a Jet?

Aug 15, 2022, 5:00 PM
15m
Auditorium VMP8 (University of Hamburg)

### Auditorium VMP8

#### University of Hamburg

Von-Melle-Park 8 20146 Hamburg Germany
Presentation

### Speaker

Rikab Gambhir (MIT)

### Description

The identification of interesting substructures within jets is an important tool to search for new physics and probe the Standard Model. In this paper, we present \textsc{SHAPER}, a general framework for defining computing shape-based observables, which generalizes the $N$-jettiness from point clusters to any extended shape. This is accomplished by minimizing the $p$-Wasserstein metric between events and parameterized manifolds of energy flows representing idealized shapes, implemented using the dual-potential Sinkhorn approximation for efficient minimization. We show how the geometric language of observables as manifolds can be used to easily define novel event and jet-substructure observables with built-in IRC safety that are useful for physics analyses. We then demonstrate the \textsc{SHAPER} framework by performing an example jet substructure analysis using these new shape-based observables.

### Primary author

Rikab Gambhir (MIT)

### Co-authors

Akshunna Dogra (Imperial College London) Prof. Jesse Thaler (MIT) Prof. Demba Ba (Harvard)