Quantum Corrections to Multi-Quanta Higgs-Bags in the Standard Model

TL;DR

This paper investigates quantum corrections to large bound states of heavy particles in the Standard Model, finding that quantum effects are minimal for large N, thus supporting the stability of these multi-quanta Higgs-bags.

Contribution

It provides a detailed analysis of quantum effects on multi-quanta Higgs-bags with large N, extending previous work from single-particle cases to many-particle scenarios.

Findings

Quantum corrections are small, around a few percent or less.

Classical Higgs-bags remain stable under quantum effects for large N.

Quantum effects do not destabilize the multi-quanta Higgs-bags at Standard Model coupling strengths.

Abstract

We argue that the Standard Model contains stable bound states with a sufficiently large number N of heavy quanta -top quarks and gauge bosons W,Z- of the form of collective "bags", with a strongly depleted value of the Higgs VEV inside. More specifically, we study one-loop quantum corrections to a generic model of them, assuming "quanta" are described by a complex scalar field. We follow the practical formalism developed by Farhi et al. for the N=1 case, i.e. one particle in a bag, who found that for a very large Yukawa coupling the classical bags are destabilized by quantum effects. We instead study the problem with a coupling constant in the range of the Standard Model for a large number of quanta N=50..5000. We calculated both classical and one-loop effects and found that for such bags quantum corrections are small, of the order of a few percents or less.