Applications of the renormalization group

Journal Article · Mon Sep 25 04:00:00 EDT 2006 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.2359394· OSTI ID:20888292

Kielanowski, P ^[1]; Juarez W, S R ^[2]

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1. Departamento de Fisica, Centro de Investigacion y Estudios Avanzados del IPN (Mexico)
2. Departamento de Fisica, Escuela Superior de Fisica y Matematicas, IPN (Mexico)

We review some applications of the renormalization group techniques in the standard model of elementary particles. We first introduce the systematic method of the perturbative treatment of the renormalization group that is based on the parameter {lambda} of the CKM matrix. Next, at the one loop order, we find the analytic solutions of the renormalization group equations and obtain the evolution of the gauge couplings, quark masses and the CKM matrix. We show that the unitarity triangle is invariant under such an evolution. We also consider the two loop approximation where we find the corrections to the one loop running and derive the bounds for the physical Higgs mass 146.8 {<=} MH {<=} 193.8.

• OSTI ID: 20888292
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 2 Vol. 857; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
APPROXIMATIONS
EQUATIONS
EVOLUTION
HIGGS BOSONS
KOBAYASHI-MASKAWA MATRIX
MASS
QUARKS
RENORMALIZATION
STANDARD MODEL
UNIFIED-FIELD THEORIES
UNITARITY