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

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

1999-02-19

arxiv.org/abs/hep-ph/9902405v3

Phys.Lett. B454 (1999) 84-91

Physics

High Energy Physics

High Energy Physics - Phenomenology

Plain latex to be run twice, 12 pages. Replaced with version to appear in Physics Letters B

Scientific paper

10.1016/S0370-2693(99)00322-6

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 $\lambda^{''}_{233}$ 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 $\tan\beta$.

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