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

B. Ananthanarayan·P. N. Pandita
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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 $\tanβ$.

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B. Ananthanarayan, P. N. Pandita. 1999-03-30. Infra-red stable fixed points of R-parity violating Yukawa couplings in supersymmetric models. https://doi.org/10.1016/s0370-2693(99)00322-6

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