The recent measurements of the cosmological parameter $H_0$ from the direct local observations and the inferred value from the Cosmic Microwave Background show $\sim 4 \sigma$ discrepancy. This may indicate new physics beyond the standard $\Lambda$CDM. We investigate the keV gravitino dark matter that has a small fraction of non-thermal component (e.g. from the late decay of NLSP bino) under various cosmological constraints. We find such a scenario is highly predictive and can be tested by searching for the dilepton plus missing energy events at the LHC. Besides, we also discuss its implication for Hubble tension, however, which can be reduced to $3\sigma$ level marginally.

中文翻译：

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轻引力暗物质：大型强子对撞机搜索和哈勃张力

来自直接局部观测的宇宙学参数 $H_0$ 的最新测量值和来自宇宙微波背景的推断值显示 $\sim 4 \sigma$ 差异。这可能表明超出标准 $\Lambda$CDM 的新物理。我们研究了在各种宇宙学约束下具有一小部分非热成分（例如来自 NLSP 双子星的晚期衰变）的 keV 引力暗物质。我们发现这种情况具有高度的预测性，可以通过在 LHC 上搜索双轻子加上缺失的能量事件来进行测试。此外，我们还讨论了它对哈勃张力的影响，然而，它可以略微降低到 $3\sigma$ 水平。