# Theoretical Perspective on Quarkonia from SPS via RHIC to LHC

## TL;DR

This paper reviews and compares theoretical models of quarkonium production and suppression in ultrarelativistic heavy-ion collisions across SPS, RHIC, and LHC energies, highlighting a coherent understanding of in-medium QCD forces.

## Contribution

It provides a comprehensive comparison of current theoretical frameworks and their transport coefficients, and analyzes excitation functions to deepen understanding of quarkonium behavior in hot QCD matter.

## Key findings

- Coherent picture of suppression and regeneration mechanisms
- Insights into in-medium QCD force properties across energies
- Basis for future quantitative studies

## Abstract

The objective of this paper is to assess the current theoretical understanding of the extensive set of quarkonium observables (for both charmonia and bottomonia) that have been attained in ultrarelativistic heavy-ion collisions over two orders of magnitude in center-of-mass energy. We briefly lay out and compare the currently employed theoretical frameworks and their underlying transport coefficients, and then analyze excitation functions of quarkonium yields to characterize the nature of the varying production mechanisms. We argue that an overall coherent picture of suppression and regeneration mechanisms emerges which enables to deduce insights on the properties of the in-medium QCD force from SPS via RHIC to LHC, and forms a basis for future quantitative studies.