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LHC和Planck数据的希格斯玻色子质量、质子衰变、自然性和约束

Higgs Boson Mass, Proton Decay, Naturalness and Constraints of LHC and Planck Data

Mengxi Liu, Pran Nath

摘要:

一个由大型强子对撞机数据确定的希格斯玻色子质量$\sim 126$ GeV需要一个大的环校正,这反过来意味着一个大的sfermion质量。这一结果的影响的质子在超对称大统一理论的稳定性进行检查,包括其他实验的限制,以及最近的结果冷暗物质从普朗克。结果表明,在超引力统一模型允许的参数空间内,质子寿命对希格斯玻色子质量高度敏感,其质量的几个GeV的移动可以改变质子衰变寿命的模式$p\to \bar νK^+$多达两个数量级或更多.从高希格斯玻色子玻色子的角度分析了电弱对称性辐射破缺的性质,指出普适和非普适超引力统一模型的参数空间大部分位于电弱对称性辐射破缺的双曲分支上,而椭球分支和焦点区域是高度耗尽的,并且仅包含所允许的参数空间的非常小的区域。同时讨论了在考虑质子稳定性约束和电弱对称性破缺时的自然性判据。结果表明,在假设的自然准则下,整体微调改善了包含质子稳定性约束的标量质量的较大值。因此,自然的标准,包括质子的稳定性以及电弱对称性破缺的限制,往往有利于弱标度的超对称性在几个TeV的区域。的影响,发现超对称性的高希格斯质量进行了简要的讨论。

英文摘要:

A Higgs boson mass $\sim 126$ GeV as determined by the LHC data requires a large loop correction which in turn implies a large sfermion mass. Implication of this result for the stability of the proton in supersymmetric grand unified theories is examined including other experiments constraints along with the most recent result on cold dark matter from Planck. It is shown that over the allowed parameter space of supergravity unified models, proton lifetime is highly sensitive to the Higgs boson mass and a few GeV shift in its mass can change the proton decay lifetime for the mode $p\to \bar νK^+$ by as much as two orders of magnitude or more. An analysis is also given on the nature of radiative breaking of the electroweak symmetry in view of the high Higgs boson, and it is shown that most of the parameter space of universal and non-universal supergravity unified models lies on the Hyperbolic Branch of radiative breaking of the electroweak symmetry, while the Ellipsoidal Branch and the Focal Point regions are highly depleted and contain only a very small region of the allowed parameter space. Also discussed are the naturalness criteria when the proton stability constraints along with the electroweak symmetry breaking are considered together. It is shown that under the assumed naturalness criteria the overall fine tuning is improved for larger values of the scalar mass with the inclusion of the proton stability constraint. Thus the naturalness criteria including proton stability along with electroweak symmetry breaking constraints tend to favor the weak scale of SUSY in the several TeV region. Implications for the discovery of supersymmetry in view of the high Higgs mass are briefly discussed.

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