最小超对称模型中希格斯势的真空稳定性

doi:10.3969/j.issn.1000-1565.2022.02.005

河北大学学报(自然科学版) ›› 2022, Vol. 42 ›› Issue (2): 139-143.DOI: 10.3969/j.issn.1000-1565.2022.02.005

最小超对称模型中希格斯势的真空稳定性

阎贲,冯太傅

收稿日期:2021-09-08 出版日期:2022-03-25 发布日期:2022-04-12
作者简介:阎贲(1985—),男,河北肃宁人,河北大学在读博士研究生,主要从事理论物理方面研究.
E-mail:yb118sdfz@163.com
基金资助:
国家自然科学基金资助项目(12075074;11705045)

Vacuum stability of Higgs potential in the minimum supersymmetric model

YAN Ben, FENG Taifu

College of Physics Science and Technology, Hebei University, Baoding 071002, China

Received:2021-09-08 Online:2022-03-25 Published:2022-04-12

摘要/Abstract

摘要： 讨论了量子场论对希格斯有效势的单圈阶修正与重整化群方程的改进方法,并将这些理论应用于最小超对称模型(minimum supersymmetric model,MSSM).在MSSM框架下讨论了稳定的希格斯有效势对敏感参数tan β的限制,通过重整化群方程的双圈阶数值解,在不同能标下对希格斯势的真空稳定性进行了研究并作出了分析.结果表明,随能标增长希格斯势行为有所变化,但没有出现标准模型那样的不稳定势.

关键词: 希格斯势, 真空稳定性, 重整化群方程, 最小超对称

Abstract: The one loop correction to the Higgs effective potential and the improvement of renormalization group equation in quantum field theory are discussed. These processing method is applied to the minimum supersymmetric model(MSSM). In the framework of MSSM, the limitation of a stable Higgs effective potential on the sensitive parameter tan β is discussed. Using the two loop order numerical solution for the renormalization group equation, the vacuum stability of the Higgs potential is studied under different energy scales. The results show that the behavior of the Higgs potential changes with the increase of the energy scale, but there is no instability as that in the standard model.

Key words: Higgs potential, vacuum stability, renormalization group equation, supersymmetry

中图分类号:

O412.3

阎贲,冯太傅. 最小超对称模型中希格斯势的真空稳定性[J]. 河北大学学报(自然科学版), 2022, 42(2): 139-143.

YAN Ben, FENG Taifu. Vacuum stability of Higgs potential in the minimum supersymmetric model[J]. Journal of Hebei University(Natural Science Edition), 2022, 42(2): 139-143.

参考文献

[1] DEGRASSI G, DIVITA S, ELIASMIRO J, et al. Higgs mass and vacuum stability in the standard model at NNLO[J]. Journal of High Energy Physics, 2012(8):98-133.DOI:10.1007/JHEP08(2012)098.
[2] 赵树民,张逸宁,陈标.超对称模型下μ(~v)x-顶点的在壳重整化[J].河北大学学报(自然科学版), 2013, 33(2):139-141.DOI:10.3969/j.issn.1000-1565.2013.02.006.
[3] SHER M, Electroweak Higgs potential and vacuum stability[J]. Physics Reports, 1989, 179(5-6):273-418. DOI:10.1016/0370-1573(89)90061-6.
[4] COLEMAN S R,.WEINBERG E J. Radiative corrections as the origin of spontaneous symmetry breaking[J]. Physical Review D, 1973, 7(6):1888-1909.DOI:10.1103/PhysRevD.7.1888.
[5] SIEGEL W. Supersymmetric dimensional regularization via dimensional reduction[J]. Physics Letters B, 1979, 84(2):193-196.DOI: 10.1016/0370-2693(79)90282-X.
[6] ROSIEK J. Complete set of Feynman rules for the MSSM[J]. Physical Review D, 1990,41(11):3464-3501. DOI: 10.1103/PhysRevD.41.3464.
[7] 段平光,王芳,赵树民.超对称模型下vvZ顶点的在壳重整化[J].河北大学学报(自然科学版), 2011,31(1):24-26.DOI:10.3969/j.issn.1000-1565.2011.01.006.
[8] SYMANZIK K. Renormalizable models with simple symmetry breaking[J]. Communications in Mathematical Physics, 1970, 16(1):48-80.DOI: 10.1007/BF01645494.
[9] DANNENBERG A. Dysfunctional methods and the effective potential[J]. Physics Letters B, 1988, 202(1):110-116.DOI: 10.1016/0370-2693(88)90862-3.
[10] CAMARGOMOLINA J E, O'LEARY B, POROD W, et al. Vevacious: a tool for finding the global minima of one-loop effective potentials with many scalars[J]. European Physical Journal C,2013,73(10):2588.DOI:10.1140/epjc/s10052-013-2588-2.
[11] FLORIAN S. Exploring new models in all detail with SARAH[J]. Advances in High Energy Physics, 2015, 2015:1-126.
[12] ZYLA P A, BARNETT R M, BERINGER J, et al. Review of particle physics[J]. Prog Theor Exp Phys, 2020(8):31-32.DOI: 10.1093/ptep/ptaa104. (

最小超对称模型中希格斯势的真空稳定性

Vacuum stability of Higgs potential in the minimum supersymmetric model

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 5

编辑推荐

Metrics

本文评价

[1]	覃仁晖,贺麟云,宁国柱. 左右手对称模型中重中微子衰变[J]. 河北大学学报(自然科学版), 2023, 43(2): 139-145.
[2]	郭星导,张印杰,赵树民. 标量电子能级束缚态的计算[J]. 河北大学学报(自然科学版), 2012, 32(3): 251-254.
[3]	李霞,王芳,段平光,赵树民. 弱电相互作用对OZI禁戒过程的贡献[J]. 河北大学学报(自然科学版), 2009, 29(4): 369-371,375.
[4]	赵树民,王芳,李占峰,刘立全,王瑞宁. 用量子色动力学研究夸克之间的相互作用[J]. 河北大学学报(自然科学版), 2009, 29(3): 270-273.
[5]	赵树民,张印杰,郭涛,李霞,曹晓兵,王芳,赵蔚,庞学霞. 超对称双圈图的Ward恒等式[J]. 河北大学学报(自然科学版), 2007, 27(3): 253-256.