标题： 功率抑制和透镜异常——一项现象学调查 显示英文标题

标题： Power Suppression and Lensing Anomaly -- A phenomenological investigation

摘要： 具有长波长低功率的原初功率谱可以缓解透镜异常。 然而，数据在多大程度上支持这样的原初功率谱并不清楚。 在这项工作中，我们借助有效于感兴趣的尺度上的经验模型，研究了功率抑制及其与透镜异常缓解的相关性。 我们考虑了对几乎尺度不变功率谱的简单扩展，例如包含谱指数跑动和跑动跑动的那些。 我们使用Planck遗留数据对这些模型进行了贝叶斯分析，这些模型对功率抑制持中立态度，并表明数据倾向于选择导致低多重极点处功率抑制的参数。 然后我们研究了功率抑制与透镜异常缓解之间的联系，并表明在低多重极点处功率抑制最大的模型中，透镜异常被最大程度地缓解。 我们还使用信息准则分析了这些发现的重要性。 这些结果进一步结合Planck第四版数据中的\texttt{CamSpec}、\texttt{嗨利波}和\texttt{洛丽棒棒糖}似然函数进行了分析，在这些似然函数中，透镜参数偏离1的情况显著减少。 此外，我们调查了接近未来的CMB任务（如ECHO）对这些模型施加更严格限制的能力以及解决该问题的可能性。 我们得出结论，通过研究这些简单的经验模型，我们可以对未来功率抑制的存在做出更强有力的结论。 显示英文摘要

摘要： Primordial power spectra with low power at long wavelengths can alleviate lensing anomaly. However the extent to which data favours such a primordial spectra is not clear. In this work, we investigate power suppression and related mitigation of lensing anomaly with the help of phenomenological models which are valid over scales of interest. We consider simple extensions to nearly scale invariant power spectra such as those which includes running and running of running of spectral index. We perform Bayesian analysis of these models, which are agnostic about power suppression, with Planck legacy data and show that data tend to choose parameters which leads to power suppression at low multipoles. We then investigate the connection between power suppression and alleviation of lensing anomaly and show that lensing anomaly is mitigated the most in models with maximum suppression of power at low multipoles. We also analyse the significance of these findings using information criteria. These results are further analyzed in the light of Planck Release 4 data using \texttt{CamSpec}, \texttt{HiLLiPoP} and \texttt{LoLLiPoP} likelihoods in which departure of lensing parameter from one is significantly reduced. Furthermore, we investigate the ability of near-ultimate future CMB missions such as ECHO to put tighter constraints on these models and to settle the issue. We conclude that we can make stronger conclusions about the presence of power suppression in the future by studying such simple phenomenological models.