Strong CP and SUZ2

Strong CP and SUZ2
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强CP和SUZ2

DOI:
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发表时间:
2015
影响因子:
5.4
通讯作者:
P. Draper
P. Draper
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
A. Albaid;M. Dine;P. Draper

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强 CP 问题的解决方案通常会引入与对称性自发破缺相关的新尺度。没有任何人为参数小 θ`documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ overline{ heta} $$end{document},这些比例需要针对紫外线校正进行稳定。超对称性提供了一种诱人的稳定机制,因为它可以同时解决“大”电弱层次问题。强 CP 的一系列解决方案,包括广义奇偶校验模型、重轴子模型和重 η′ 模型,引入了 ℤ2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ {mathbb{Z}}_2 $$end{document} 标准模型(部分)的副本以及 ℤ2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ {mathbb{Z}}_2 $$end{document} - 破坏。我们回顾一下为什么在没有超对称等额外结构的情况下,ℤ2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ {mathbb{Z}}_2 $$end{document} - 破坏规模的调整令人无法接受。然后我们研究“SUZ2”模型,超对称理论与 ℤ2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ {mathbb{Z}}_2 MSSM 的 $$end{document} 副本。我们发现添加 SUSY 通常会破坏 ℤ2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ {mathbb{Z}}_2 $$end{document} 保护 θ¯=0documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ overline{ heta}=0 $$end{document},即使在树级别,一旦 SUSY 和 ℤ2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ {mathbb{Z}}_2 $$end{document} 是坏了。在孪生希格斯粒子的超对称完成等理论中,其中 ℤ2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ {mathbb{Z}}_2 $$end{document} 解决了小层次结构问题,但不是强CP,可以使用两个轴子来放松 θ´documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{文档}$$ 上划线{ heta} $$end{文档}。
Solutions to the strong CP problem typically introduce new scales associated with the spontaneous breaking of symmetries. Absent any anthropic argument for small θ¯documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ overline{ heta} $$end{document}, these scales require stabilization against ultraviolet corrections. Supersymmetry offers a tempting stabilization mechanism, since it can solve the “big” electroweak hierarchy problem at the same time. One family of solutions to strong CP, including generalized parity models, heavy axion models, and heavy η′ models, introduces ℤ2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ {mathbb{Z}}_2 $$end{document} copies of (part of) the Standard Model and an associated scale of ℤ2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ {mathbb{Z}}_2 $$end{document} -breaking. We review why, without additional structure such as supersymmetry, the ℤ2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ {mathbb{Z}}_2 $$end{document} -breaking scale is unacceptably tuned. We then study “SUZ2” models, supersymmetric theories with ℤ2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ {mathbb{Z}}_2 $$end{document} copies of the MSSM. We find that the addition of SUSY typically destroys the ℤ2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ {mathbb{Z}}_2 $$end{document} protection of θ¯=0documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ overline{ heta}=0 $$end{document}, even at tree level, once SUSY and ℤ2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ {mathbb{Z}}_2 $$end{document} are broken. In theories like supersymmetric completions of the twin Higgs, where ℤ2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ {mathbb{Z}}_2 $$end{document} addresses the little hierarchy problem but not strong CP, two axions can be used to relax θ¯documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ overline{ heta} $$end{document}.