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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Doublet–triplet splitting problem ： ウィキペディア英語版 Doublet–triplet splitting problem In particle physics, the doublet–triplet (splitting) problem is a problem of ''some'' Grand Unified Theories, such as SU(5), SO(10), $E\_6$. Grand unified theories predict Higgs bosons (doublets of $SU(2)$) arise from representations of the unified group that contain other states, in particular, states that are triplets of color. The primary problem with these color triplet Higgs, is that they can mediate proton decay in supersymmetric theories that are only suppressed by two powers of GUT scale (i.e. they are dimension 5 supersymmetric operators). In addition to mediating proton decay, they alter gauge coupling unification. The doublet–triplet problem is the question 'what keeps the doublets light while the triplets are heavy?' ==Doublet–triplet splitting and the $\backslash mu$-problem== In 'minimal' SU(5), the way one accomplishes doublet–triplet splitting is through a combination of interactions $\backslash int\; d^2\backslash theta\; \backslash ;\; \backslash lambda\; H\_\; +\; \backslash mu\; H\_$ where $\backslash Sigma$ is an adjoint of SU(5) and is traceless. When $\backslash Sigma$ acquires a vacuum expectation value $\backslash langle\; \backslash Sigma\backslash rangle\; =\; \backslash rm(2,\; 2,\; 2,\; -3,\; -3)\; f$ that breaks SU(5) to the Standard Model gauge symmetry the Higgs doublets and triplets acquire a mass $\backslash int\; d^2\backslash theta\; \backslash ;\; (2\; \backslash lambda\; f\; +\; \backslash mu)\; H\_\}H\_2$ Since $f$ is at the GUT scale ($10^$ GeV) and the Higgs doublets need to have a weak scale mass (100 GeV), this requires $\backslash mu\; \backslash sim\; 3\; \backslash lambda\; f\; \backslash pm\; 100\; \backslash mbox$. So to solve this doublet–triplet splitting problem requires a tuning of the two terms to within one part in $10^$. This is also why the mu problem of the MSSM (i.e. why are the Higgs doublets so light) and doublet–triplet splitting are so closely intertwined. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Doublet–triplet splitting problem」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.