On the Effects of Elementary and Bound State Fields on Vacuum Stability in $t\bar{t}$ Production at the LHC

TL;DR

This paper investigates how elementary and bound state fields influence vacuum stability in top-antitop production at the LHC, using the Multicritical Point Principle to constrain couplings, and finds that only the elementary field scenario satisfies the principle.

Contribution

It introduces two simple models to analyze vacuum stability effects in top pair production, demonstrating that an elementary field can satisfy the Multicritical Point Principle while toponium cannot.

Findings

Elementary field scenario satisfies the Multicritical Point Principle.

Toponium scenario does not satisfy the Multicritical Point Principle.

Implications for vacuum stability in top quark physics.

Abstract

The recent report by the CMS Collaboration on the excess of top and anti-top pair production is examined with regard to the improvement of vacuum stability under two simple scenarios: one with the existence of toponium $(\eta_t)$, and the other with an additional elementary field $(\Psi)$. In both cases, the values of each coupling constant are restricted by the Multicritical Point Principle (MPP). Two scenarios are considered. The first incorporates the effect of toponium $(\eta_t)$, inspired by the Bardeen-Hill-Lindner (BHL) framework, and the second embeds $\Psi$ into the Standard Model (SM) as a minimal model close to an inert doublet model. From these analyses, it is found that toponium cannot satisfy the MPP, whereas the additional elementary field can.