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arXiv 1206.2655hep-phhep-th
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中间尺度MSSM、Higgs质量与F理论的统一

The Intermediate Scale MSSM, the Higgs Mass and F-theory Unification

Luis E. Ibáñez, Fernando Marchesano, Diego Regalado, Irene Valenzuela

摘要:

即使超对称性不存在于电弱标度,弦论也认为它存在于弦标度M_s以下的某个标度M_{SS},以保证快子的不存在。我们探讨了M_{SS}与规范耦合统一和弦论中超对称性破缺的已知来源相一致的可能值。在F-理论SU(5)统一中,这两个要求将M_{SS}固定在一个中间尺度上的约5 x 10^{10} GeV,统一尺度M_c固定在约3 x 10^{14} GeV。作为一个直接的结果,我们还预言了在M_{SS} ~10^{11} GeV时四次希格斯SM自耦合的消失。这与最近大型强子对撞机暗示希格斯粒子的质量在124-126 GeV之间的说法非常一致。在如此低的统一尺度M_c ~ 3 x 10^{14} GeV的情况下,人们可能会担心通过6维算符的质子衰变太快。然而,在F-理论的大统一理论中,SU(5)通过超荷通量被破缺到SM。我们表明,这种超荷通量变形的SM费米子波函数导致的抑制,以这种方式避免强实验质子衰变的约束。在这些结构中一般存在尺度为f_a ~ M_c/(4π)^2 ~ 10^{12} GeV的轴子,它可以解决强CP问题,并提供观测到的暗物质。为这些吸引人的特征付出的代价是假设层级问题由于弦景观中的人择选择而得到解决。

英文摘要:

Even if SUSY is not present at the Electro-Weak scale, string theory suggests its presence at some scale M_{SS} below the string scale M_s to guarantee the absence of tachyons. We explore the possible value of M_{SS} consistent with gauge coupling unification and known sources of SUSY breaking in string theory. Within F-theory SU(5) unification these two requirements fix M_{SS} ~ 5 x 10^{10} GeV at an intermediate scale and a unification scale M_c ~ 3 x 10^{14} GeV. As a direct consequence one also predicts the vanishing of the quartic Higgs SM self-coupling at M_{SS} ~10^{11} GeV. This is tantalizingly consistent with recent LHC hints of a Higgs mass in the region 124-126 GeV. With such a low unification scale M_c ~ 3 x 10^{14} GeV one may worry about too fast proton decay via dimension 6 operators. However in the F-theory GUT context SU(5) is broken to the SM via hypercharge flux. We show that this hypercharge flux deforms the SM fermion wave functions leading to a suppression, avoiding in this way the strong experimental proton decay constraints. In these constructions there is generically an axion with a scale of size f_a ~ M_c/(4π)^2 ~ 10^{12} GeV which could solve the strong CP problem and provide for the observed dark matter. The prize to pay for these attractive features is to assume that the hierarchy problem is solved due to anthropic selection in a string landscape.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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