QCD Sum Rule Studies of Heavy Quarkonium-like States

TL;DR

This paper employs QCD sum rules to predict properties of exotic heavy quarkonium-like states, utilizing advanced loop integration and renormalization techniques to improve theoretical accuracy and understand experimental particles.

Contribution

It introduces a comprehensive methodology combining QCD sum rules, sophisticated loop integrations, and renormalization to study and predict exotic heavy quarkonium-like hadrons.

Findings

Predicted masses of exotic hadrons among heavy quarkonium-like states.

Developed advanced loop integration methods for higher-order calculations.

Improved theoretical predictions for particles like X(3872) and Z_c(3895).

Abstract

The research presented here uses QCD sum rules (QSR) to study exotic hadrons. There are several themes in this work. First is the use of QSR to predict the masses of exotic hadrons that may exist among the heavy quarkonium-like states. The second theme is the application of sophisticated loop integration methods in order to obtain more complete theoretical results. These in turn can be extended to higher orders in the perturbative expansion in order to predict the properties of exotic hadrons more accurately. The third theme involves developing a renormalization methodology for these higher order calculations. This research has implications for the $Y(3940)$, $X(3872)$, $Z_c^\pm\left(3895\right)$, $Y_b\left(10890\right)$, $Z_b^{\pm}(10610)$ and $Z_b^{\pm}(10650)$ particles, thereby contributing to the ongoing effort to understand these and other heavy quarkonium-like states.