One-loop on-shell renormalization of MSSM vertexes

ZHAO Shu-Min; FENG Tai-Fu; WANG Fang; GAO Tie-Jun; ZHANG Yin-Jie

doi:10.1088/1674-1137/37/5/053101

Chinese Physics C> 2013, Vol. 37> Issue(5) : 053101 DOI: 10.1088/1674-1137/37/5/053101

One-loop on-shell renormalization of MSSM vertexes

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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: Zl^Il^I, W⁺v^Il^I 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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[1]

Hooft G't. Nucl. Phys. B, 1973, 61: 455[2] Bardeen W A, Buras A J, Duke D W et al. Phys. Rev. D, 1978, 18: 3998[3] Celmaster W, Gonsalves R J. Phys. Rev. Lett., 1979, 42: 1435[4] Bohm M, Spiesberger H, Hollik W. Fortsch. Phys., 1986, 34: 687; Aoki K I, Hioki Z, Kawabe R et al. Prog. Theor. Phys., 1980, 64: 707; 1981, 66: 1001; Prog. Theor. Phys. Suppl., 1982, 75: 1[5] Hollik W, Krans E, Roth M et al. Nucl. Phys. B, 2004, 639: 3; Denner A. Fortschr. Phys., 1993, 41: 307[6] Bednyakov A V. Int. J. Mod. Phys. A, 2010, 25: 2437[7] Funakubo K, Senaha E. Phys. Rev. D, 2009, 79: 115024[8] Albrecht M E, Blankea M, Burasa A J et al. JHEP, 2009, 09: 064[9] Chung D J H, Everett L L, Kane G L et al. Phys. Rept., 2005, 407: 1[10] Rosiek J. Phys. Rev. D, 1990, 41: 3464[11] Eberl H, Kincel M, Majerotto W et al. Nucl. Phys. B, 2002, 625: 372; Guasch J, Sola J, Hollik W. Phys. Lett. B, 1998, 437: 88[12] Guasch J, Hollik W, Sola J. JHEP, 2002, 0210: 040[13] Chankowski P, Pokorski S, Rosiek J. Nucl. Phys. B, 1994, 423: 437[14] Hollik W, Schappacher C. Nucl. Phys. B, 1999, 545: 98[15] Hollik W, Kraus E, Stckinger D. Eur. Phys. J. C, 1999, 11: 365[16] FENG T F, YANG X Y. Nucl. Phys. B, 2009, 814: 101; FENG T F, SUN L, YANG X Y. Nucl. Phys. B, 2008, 800: 221; Phys. Rev. D, 2008, 77: 116008[17] FENG T F, LI X Q, LIN L et al. Phys. Rev. D, 2006, 73: 116001

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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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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

One-loop on-shell renormalization of MSSM vertexes

Corresponding author: ZHAO Shu-Min,

Received Date: 2012-06-25

Accepted Date: 2012-08-16

Available Online: 2013-05-05

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: Zl^Il^I, W⁺v^Il^I 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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One-loop on-shell renormalization of MSSM vertexes

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