arXiv 1801.005142018-01-01hep-ph

μ子g-2和暗物质表明非普适的高吉诺质量：LHC的$\mathbf{SU(5)\times A_4}$案例研究

Muon g-2 and Dark Matter suggest Non-Universal Gaugino Masses: $\mathbf{SU(5)\times A_4}$ case study at the LHC

Alexander S. Belyaev, Steve F. King, Patrick B. Schaefers

备注：: 23 pages, 10 figures
发表信息：: Phys. Rev. D 97, 115002 (2018)
DOI：: 10.1103/PhysRevD.97.115002

摘要：

我们认为，为了解释μ子异常磁矩$g-2$，暗物质和大型强子对撞机的数据，在最小超对称标准模型（MSSM）的框架下，在高尺度上的非普适的Gaugino质量$M_i$是必需的。我们还需要一个右手晕子$\tildeμ_R$，质量约为100 GeV，由于中性伴子$\tildeχ^0_1$的接近，使成功的暗物质的几个GeV轻，逃避大型强子对撞机搜索。我们讨论了这样一个场景的框架中的$SU(5)$大统一理论（GUT）结合$A_4$家族对称性，其中三个$\overline{5}$表示形成一个单一的三重$A_4$与统一的软质量$m_F$，而三个$10$表示是单线态的$A_4$与独立的软质量$m_{T1}, m_{T2}, m_{T3}$。虽然$m_{T2}$（因此也是$\tildeμ_R$）可能是轻的，但μ子$g-2$和遗迹密度也需要轻的$M_1\simeq 250$ GeV，这与普适的高吉诺质量不相容，因为LHC对高吉诺搜索产生的$M_2$和$M_3$的限制。后显示，普遍的Gaugino群众$M_{1/2}$在大统一体尺度被排除的胶子搜索，我们提供了一系列的基准，这表明，虽然$M_{1}= M_{2} \ll M_3$也被排除的电荷搜索，$M_{1}< M_{2} \ll M_3$目前是允许的。甚至这种情况几乎被排除在μ子$g-2$，遗迹密度，暗物质直接探测和大型强子对撞机数据之间的紧张关系之外。幸存的参数空间的特点是higgsino质量$μ\approx -300$ GeV，所需的μ子$g-2$。大型强子对撞机将能够通过由higgsino主导的$\tildeχ^\pm_1 \, \tildeχ^0_2$和$\tildeχ^+_1 \, \tildeχ^-_1$生产产生的μ子主导的三轻子和双轻子签名来全面测试这种情况。

英文摘要：

We argue that in order to account for the muon anomalous magnetic moment $g-2$, dark matter and LHC data, non-universal gaugino masses $M_i$ at the high scale are required in the framework of the Minimal Supersymmetric Standard Model (MSSM). We also need a right-handed smuon $\tildeμ_R$ with a mass around 100 GeV, evading LHC searches due to the proximity of a neutralino $\tildeχ^0_1$ several GeV lighter which allows successful dark matter. We discuss such a scenario in the framework of an $SU(5)$ Grand Unified Theory (GUT) combined with $A_4$ family symmetry, where the three $\overline{5}$ representations form a single triplet of $A_4$ with a unified soft mass $m_F$, while the three $10$ representations are singlets of $A_4$ with independent soft masses $m_{T1}, m_{T2}, m_{T3}$. Although $m_{T2}$ (and hence $\tildeμ_R$) may be light, the muon $g-2$ and relic density also requires light $M_1\simeq 250$ GeV, which is incompatible with universal gaugino masses due to LHC constraints on $M_2$ and $M_3$ arising from gaugino searches. After showing that universal gaugino masses $M_{1/2}$ at the GUT scale are excluded by gluino searches, we provide a series of benchmarks which show that while $M_{1}= M_{2} \ll M_3$ is also excluded by chargino searches, $M_{1}< M_{2} \ll M_3$ is currently allowed. Even this scenario is almost excluded by the tension between the muon $g-2$, relic density, Dark Matter direct detection and LHC data. The surviving parameter space is characterised by a higgsino mass $μ\approx -300$ GeV, as required by the muon $g-2$. The LHC will be able to fully test this scenario with the upgraded luminosity via muon-dominated tri- and di-lepton signatures resulting from higgsino dominated $\tildeχ^\pm_1 \, \tildeχ^0_2$ and $\tildeχ^+_1 \, \tildeχ^-_1$ production.

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