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arXiv 1101.0634hep-phhep-th
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区分4D超对称性与其5D扭曲版本

Discriminating 4D supersymmetry from its 5D warped version

Charles Bouchart, Alexander Knochel, Grégory Moreau

摘要:

在大型强子对撞机只产生超伴子的情况下,如何确定所指出的超对称模型是四维的还是高维的?我们提出并发展了一系列的测试区分纯超对称性(SUSY)和超对称性内实现动机良好的翘曲几何一个拉兰德尔Sundrum(RS)。其中两个测试利用了夸克/斯莱普顿质谱中出现的一些不同模式。另一个独特的RS超对称性特征是,与纯超对称性相比,希格斯玻色子衰变成slepton的分支比可能更大(甚至占主导地位)。技术钉在TeV膜上的软超对称性破缺项的存在也提出了建议,停止对生产在国际直线对撞机的分析的基础上。在这些唯象研究中,我们首先要推导出RS超对称系统中sfermions和希格斯玻色子玻色子的四维有效耦合和质量矩阵。希格斯玻色子的局域化,RS的特点,导致在他们的耦合奇性,这是正则化的卡鲁扎-克莱因(KK)标量模式与Dirichlet-Dirichlet边界条件的无限塔的交换贡献。基于完备性关系,给出了这种正则化的一般方法。sfermion的质量可以通过积分那些特定的KK塔或通过处理它们的混合效应来获得。最后,我们在一个循环的水平上展示了如何在希格斯质量的所有二次发散抵消任何截止,由于5D超对称性和5D异常取消;这里遵循的分析方法也允许一个理由的无限KK求和所需的所谓的KK正则化在5D超对称性,这激发了丰富的文献。

英文摘要:

In the scenario where only superpartners were produced at the Large Hadron Collider, how one could determine whether the supersymmetric model pointed out is 4-dimensional or higher-dimensional ? We propose and develop a series of tests for discriminating between a pure supersymmetry (SUSY) and a SUSY realized within the well-motivated warped geometry a la Randall-Sundrum (RS). Two of these tests make use of some different patterns arising in the squark/slepton mass spectrum. The other distinctive RS SUSY feature is the possibly larger (even dominant) Higgs boson decay branching ratios into sleptons, compared to pure SUSY. Techniques for pinning up the presence of soft SUSY breaking terms on the TeV-brane are also suggested, based on the analysis of stop pair production at the International Linear Collider. For all these phenomenological studies, we had first to derive the 4-dimensional (4D) effective couplings and mass matrices of the sfermions and Higgs bosons in RS SUSY. The localization of Higgs bosons, characteristic of RS, leads to singularities in their couplings which are regularized by the exchange contribution of infinite towers of Kaluza-Klein (KK) scalar modes with Dirichlet-Dirichlet boundary conditions. A general method is provided for this regularization, based on the completeness relation. The sfermion masses are obtained either from integrating out those specific KK towers or by treating their mixing effects. Finally, we show at the one-loop level how all quadratic divergences in the Higgs mass cancel out for any cut-off, due to 5D SUSY and to 5D anomaly cancellation; the analytical way followed here also allows a justification of the infinite KK summation required for the so-called KK regularization in 5D SUSY, which has motivated a rich literature.

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