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Infra-red stable fixed points of R-parity violating Yukawa couplings in supersymmetric models

1999/02/28 by B. Ananthanarayan, P. N. Pandita, P.N. Pandita
Physics and Astronomy · #Black Holes and Theoretical Physics #Coupling (piping) #Coupling parameter #Fixed point #Infrared fixed point #Minimal Supersymmetric Standard Model #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Renormalization #Renormalization group #Yukawa potential #hep-ph

paper · pdf · doi:10.1016/s0370-2693(99)00322-6

published as Phys.Lett. B454 (1999) 84-91 · Plain latex to be run twice, 12 pages. Replaced with version to appear in Physics Letters B

arxiv created 1999/03/30 · openalex publication_date 1999/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We investigate the infra-red stable fixed points of the Yukawa couplings in the minimal version of the supersymmetric standard model with R-parity violation. Retaining only the R-parity violating couplings of higher generations, we analytically study the solutions of the renormalization group equations of these couplings together with the top- and b-quark Yukawa couplings. We show that only the B-violating coupling λ''233 approaches a non-trivial infra-red stable fixed point, whereas all other non-trivial fixed point solutions are either unphysical or unstable in the infra-red region. However, this fixed point solution predicts a top-quark Yukawa coupling which is incompatible with the top quark mass for any value of tanβ.

Citations