A New Bound State $6t + 6\bar t$ and the Fundamental-Weak Scale Hierarchy in the Standard Model

TL;DR

This paper proposes a new bound state of 6 top and 6 anti-top quarks, using the multiple point principle and renormalisation group analysis, to explain the hierarchy between the fundamental and weak scales in the Standard Model.

Contribution

It introduces a novel bound state prediction and links multiple vacuum states to address the hierarchy problem in the Standard Model.

Findings

Prediction of a new bound state of 6 top and 6 anti-top quarks.

Existence of three vacuum states explains the hierarchy problem.

Effective potential analysis supports the multiple point principle.

Abstract

The multiple point principle, according to which several vacuum states with the same energy density exist, is put forward as a fine-tuning mechanism predicting the exponentially huge ratio between the fundamental and weak scales in the Standard Model (SM). Using renormalisation group equations for the SM, we obtain the effective potential in the 2-loop approximation and investigate the existence of its postulated second minimum at the fundamental scale. A prediction is made of the existence of a new bound state of 6 top quarks and 6 anti-top quarks, formed due to Higgs boson exchanges between pairs of quarks/anti-quarks. This bound state is supposed to condense in a new phase of the SM vacuum. The existence of three vacuum states (new, weak and fundamental) solves the hierarchy problem in the SM.