Decoupling, effective Lagrangian, and gauge hierarchy in spontaneously broken non-Abelian gauge theories

Journal Article · Mon Mar 15 04:00:00 EST 1982 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.25.1605· OSTI ID:5574634

Kazama, Y; Yao, Y

In spontaneously broken non-Abelian gauge theories which admit gauge hierarchy at the tree level, we show, to all orders in perturbation theory, that (i) the superheavy particles decouple from the light sector at low energies, (ii) an effective low-energy renormalizable theory emerges together with appropriate counterterms, and (iii) the gauge hierarchy can be consistently maintained in the presence of radiative corrections. These assertions are explicitly demonstrated for O(3) gauge theory with two triplets of Higgs particles in a manner easily applicable to more realistic grand unified theories. Furthermore, as a by-product of our analysis, we obtain a systematic method of computing the parameters of the effective low-energy theory via renormalization-group equations to any desired accuracy.

• Research Organization: Fermi National Accelerator Laboratory, P. O. Box 500, Batavia, Illinois 60510
• OSTI ID: 5574634
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 25:6; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645301* -- High Energy Physics-- Particle Invariance Principles & Symmetries-- General-- (-1987)
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CORRECTIONS
DECOUPLING
ELEMENTARY PARTICLES
GAUGE INVARIANCE
HIGGS BOSONS
INTERMEDIATE BOSONS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTICLE MODELS
PERTURBATION THEORY
POSTULATED PARTICLES
RADIATIVE CORRECTIONS
RENORMALIZATION
SYMMETRY BREAKING
UNIFIED GAUGE MODELS