One-loop on-shell renormalization of MSSM vertexes

  • The on-shell renormalization scheme for electroweak theory is well studied in the standard model (SM), but a consistent on-shell renormalization scheme for the minimal supersymmetric standard model (MSSM) is still unknown. In the MSSM, we study the on-shell scheme for three vertexes: ZlIlI, W+vIlI and , with virtual SUSY particles (chargino, sneutrino, neutralino and slepton) at one-loop order. Instead of the amplitude of a single triangle diagram, the sum of the amplitude of triangle diagrams belonging to one suit can be renormalized in the on-shell scheme. One suit points out that the internal virtual particles are consistent. The zero-momentum scheme is also used for the renormalization. The two schemes can make the renormalized results decoupled, and in the MSSM some of the special characters of the on-shell scheme are shown. This work is propitious in completing the on-shell renormalization scheme in the MSSM.
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ZHAO Shu-Min, FENG Tai-Fu, WANG Fang, GAO Tie-Jun and ZHANG Yin-Jie. One-loop on-shell renormalization of MSSM vertexes[J]. Chinese Physics C, 2013, 37(5): 053101. doi: 10.1088/1674-1137/37/5/053101
ZHAO Shu-Min, FENG Tai-Fu, WANG Fang, GAO Tie-Jun and ZHANG Yin-Jie. One-loop on-shell renormalization of MSSM vertexes[J]. Chinese Physics C, 2013, 37(5): 053101.  doi: 10.1088/1674-1137/37/5/053101 shu
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Received: 2012-06-25
Revised: 2012-08-16
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One-loop on-shell renormalization of MSSM vertexes

    Corresponding author: ZHAO Shu-Min,

Abstract: The on-shell renormalization scheme for electroweak theory is well studied in the standard model (SM), but a consistent on-shell renormalization scheme for the minimal supersymmetric standard model (MSSM) is still unknown. In the MSSM, we study the on-shell scheme for three vertexes: ZlIlI, W+vIlI and , with virtual SUSY particles (chargino, sneutrino, neutralino and slepton) at one-loop order. Instead of the amplitude of a single triangle diagram, the sum of the amplitude of triangle diagrams belonging to one suit can be renormalized in the on-shell scheme. One suit points out that the internal virtual particles are consistent. The zero-momentum scheme is also used for the renormalization. The two schemes can make the renormalized results decoupled, and in the MSSM some of the special characters of the on-shell scheme are shown. This work is propitious in completing the on-shell renormalization scheme in the MSSM.

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