Universal evolution of Cabibbo-Kobayashi-Maskawa matrix elements

Journal Article · Sun Feb 28 23:00:00 EST 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.47.2038· OSTI ID:6900295

Barger, V; Berger, M S; Ohmann, P ^[1]

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1. Wisconsin Univ., Madison, WI (United States). Dept. of Physics

We derive the two-loop evolution equations for the Cabibbo-Kobayashi-Maskawa (CKM) matrix. We show that to leading order in the mass and CKM hierarchies the scaling of the mixings [vert bar][ital V][sub [ital u][ital b]][vert bar][sup 2],[vert bar][ital V][sub [ital c][ital b]][vert bar][sup 2],[vert bar][ital V][sub [ital t][ital d]][vert bar][sup 2], [vert bar][ital V][sub [ital t][ital s]][vert bar][sup 2] and of the rephase-invariant CP-violating parameter [ital J] is universal to all orders in perturbation theory. In leading order the other CKM elements do not scale. Imposing the constraint [lambda][sub [ital b]]=[lambda][sub [tau]] at the grand unified theory scale determines the CKM scaling factor to be [congruent]0.58 in the minimal supersymmetric standard model.

• DOE Contract Number: AC02-76ER00881
• OSTI ID: 6900295
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 47:5; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662120* -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
662210 -- Specific Theories & Interaction Models
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING
CP INVARIANCE
FIELD THEORIES
GRAND UNIFIED THEORY
INVARIANCE PRINCIPLES
KOBAYASHI-MASKAWA MATRIX
MATHEMATICAL MODELS
MATRICES
NUCLEAR POTENTIAL
PARTICLE MODELS
PERTURBATION THEORY
POTENTIALS
Pa
Particle Systematics-- Unified Theories & Models-- (1992-)
RENORMALIZATION
STANDARD MODEL
SUPERSYMMETRY
SYMMETRY
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES
YUKAWA POTENTIAL