Renormalization group equations for the CKM matrix

Journal Article · Mon Dec 01 00:00:00 EST 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.116010· OSTI ID:21251058

Kielanowski, P; Juarez W, S R

We derive the one loop renormalization group equations for the Cabibbo-Kobayashi-Maskawa (CKM) matrix for the standard model, its two Higgs extension, and the minimal supersymmetric extension in a novel way. The derived equations depend only on a subset of the model parameters of the renormalization group equations for the quark Yukawa couplings so the CKM matrix evolution cannot fully test the renormalization group evolution of the quark Yukawa couplings. From the derived equations we obtain the invariant of the renormalization group evolution for three models which is the angle {phi}{sub 2} of the unitarity triangle. For the special case of the standard model and its extensions with v{sub 1}{approx_equal}v{sub 2} we demonstrate that also the shape of the unitarity triangle and the Buras-Wolfenstein parameters {rho} and {eta} are conserved. The invariance of the angles of the unitarity triangle means that it is not possible to find a model in which the CKM matrix might have a simple, special form at asymptotic energies.

• OSTI ID: 21251058
• Journal Information: Physical Review. D, Particles Fields, Vol. 78, Issue 11; Other Information: DOI: 10.1103/PhysRevD.78.116010; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
COUPLING
EQUATIONS
EVOLUTION
HIGGS BOSONS
HIGGS MODEL
KOBAYASHI-MASKAWA MATRIX
QUARKS
RENORMALIZATION
STANDARD MODEL
SUPERSYMMETRY
UNITARITY
WOLFENSTEIN PARAMETERS