Mass equations of Higgs and weak gauge bosons in the fermion condensate scheme with [ital n] generations of fermions

Journal Article · Fri Jul 01 04:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.578· OSTI ID:7296260

Zhou, B ^[1]

---

1. Chinese Center for Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080 (China) Department of Physics, Graduate School, Academia Sinica, Beijing 100039 (China)

The mass equations of the Higgs boson [phi][sub [ital s]][sup 0] and the gauge bosons [ital W] and [ital Z] are expounded in a dynamical symmetry-breaking model of Nambu--Jona-Lasinio type with three quark-lepton generations and a heavier degenerate fourth [ital U]-fermion generation. The equation of [ital m][sub [phi][ital s]][sup 0] with an explicit momentum cutoff dependence and derived approximate formula of [ital m][sub [phi][ital s]][sup 0] are numerically solved and a more stringent mass constraint [ital m][sub [ital U]]+[ital m][sub [ital t]][le][ital m][sub [phi][ital s]][sup 0][le]2[ital m][sub [ital U]] is proven. The results show that the determination of the Higgs boson mass will be the most important experimental test of the model with heavy [ital U] fermions. The mass of the [ital W] boson is argued to be independent of the momentum cutoff and almost independent of the masses of the heavy [ital t] quarks and [ital U] fermions. Its equation could take the form in the standard model and is dominated by light fermions. The mass of the [ital Z] boson, in addition to having the same feature as [ital m][sub [ital W]], will be affected by the weak isospin breaking caused by the mass difference [ital m][sub [ital t]][minus][ital m][sub [ital b]]. Such an effect makes not only the mass equation of the boson but also the [beta] function responsible for the running of the gauge coupling constants [ital g][sub 1] and [ital g][sub 2] in the mass equation deviate from the respective standard forms. It is also argued that if the electroweak gauge bosons were replaced by composites of fermions then the possibility of the existence of heavy [ital U] fermions would be removed.

• OSTI ID: 7296260
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:1; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110 -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662210* -- Specific Theories & Interaction Models
662440 -- Properties of Other Particles Including Hypothetical Particles-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CONDENSATES
ELEMENTARY PARTICLES
FERMIONS
HIGGS BOSONS
INTERMEDIATE BOSONS
INTERMEDIATE VECTOR BOSONS
MASS DIFFERENCE
MASS FORMULAE
PARTICLE PROPERTIES
POSTULATED PARTICLES
Pa
Particle Systematics-- Unified Theories & Models-- (1992-)
SYMMETRY BREAKING