arXiv 0907.41932009-07hep-phhep-ex

LHC的中微子质量和重三重态轻子：III型跷跷板的可测性

Neutrino Masses and Heavy Triplet Leptons at the LHC: Testability of Type III Seesaw

Tong Li, Xiao-Gang He

备注：: 39 pages, 36 figures, accepted version by PRD
发表信息：: Phys.Rev.D80:093003,2009
DOI：: 10.1103/PhysRevD.80.093003

摘要：

我们研究了引入SU（2）_L三重态轻子以提供重的跷跷板质量的III型跷跷板的LHC特征。为了探测这些重三重态轻子的信号，人们需要了解它们衰变为标准模型粒子的过程，这取决于轻重轻子如何相互混合。我们集中讨论轻、重轻子小混合的一般解，混合的量级为轻、重质量比的平方根（m_v/ M_{ν_R}）^{1/2}。这类解可以导致在LHC上可检测到的可见位移顶点，其可以用于区分轻轻子和重轻子之间的小混合和大混合。我们表明，在这种情况下，轻和重的三重态轻子的规范和希格斯玻色子，这决定了衰变宽度和分支比的耦合，可以表示在轻中微子的质量和它们的混合。利用这些关系，我们研究了重三重态轻子在LHC上的衰变模式和产生截面。如果这些重三重态轻子的能量低于TeV左右，它们可以很容易地在LHC中产生，因为它们的规范相互作用是SU（2）_L的非平凡表示。我们详细地考虑了两种理想的生产通道：1）E^+E^- \to \ell^+ \ell^+ \ell^- \ell^- jj（\ell =e，μ，τ）和2）E^ \pm N \to \ell^\ pm \ell^\ pm jjj。对于情形1），我们发现，如果有一两个轻轻子是τ，也可以有效地研究它。如果在大型强子对撞机上进行适当的切割，那么在100 fb^{-1}积分亮度下就可以发现高达TeV的重三重态轻子。

英文摘要：

We study LHC signatures of Type III seesaw in which SU(2)_L triplet leptons are introduced to supply the heavy seesaw masses. To detect the signals of these heavy triplet leptons, one needs to understand their decays to standard model particles which depend on how light and heavy leptons mix with each other. We concentrate on the usual solutions with small light and heavy lepton mixing of order the square root of the ratio of light and heavy masses, (m_ν/M_{ν_R})^{1/2}. This class of solutions can lead to a visible displaced vertex detectable at the LHC which can be used to distinguish small mixing and large mixing between light and heavy leptons. We show that, in this case, the couplings of light and heavy triplet leptons to gauge and Higgs bosons, which determine the decay widths and branching ratios, can be expressed in terms of light neutrino masses and their mixing. Using these relations, we study heavy triplet lepton decay patterns and production cross section at the LHC. If these heavy triplet leptons are below a TeV or so, they can be easily produced at the LHC due to their gauge interactions from being non-trivial representations of SU(2)_L. We consider two ideal production channels, 1) E^+E^- \to \ell^+\ell^+ \ell^-\ell^- jj (\ell=e,μ,τ) and 2) E^\pm N \to \ell^\pm \ell^\pm jjjj in detail. For case 1), we find that with one or two of the light leptons being τit can also be effectively studied. With judicious cuts at the LHC, the discovery of the heavy triplet leptons as high as a TeV can be achieved with 100 fb^{-1} integrated luminosity.

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