论文标题
观察者特殊速度对源数计数的统计影响
Statistical effects of the observer's peculiar velocity on source number counts
论文作者
论文摘要
相对于宇宙微波背景（CMB）的太阳的速度可以从CMB偶极子中提取，只要假定其固有的偶极子比较小。这种解释在相当大的误差栏内是一致的，并且通过观察者的速度引起的相邻CMB多尔（有效地破坏了各向同性的速度）之间的相关性。相比之下，据报道，源数偶极子的偶极子具有振幅的速度，其幅度的速度大约是从CMB偶极子的完全运动学解释中提取出的两倍，其误差棒表明越来越明显的张力。在这项工作中，我们研究了观察者的特殊速度对源数计数中附近多物相关性的影响。我们为动力学偶极振幅提供了无偏估计器，该估计幅度与观察者的特殊速度成正比，并计算预期信号与噪声比。不久的将来的实验可以通过我们的估计器在太阳速度上获得超过5 $ \％$的约束。
The velocity of the Sun with respect to the cosmic microwave background (CMB) can be extracted from the CMB dipole, provided its intrinsic dipole is assumed to be small in comparison. This interpretation is consistent, within fairly large error bars, with the measurement of the correlations between neighboring CMB multipoles induced by the velocity of the observer, which effectively breaks isotropy. In contrast, the source number count dipole was reported to privilege a velocity of the observer with an amplitude which is about twice as large as the one extracted from the entirely kinematic interpretation of the CMB dipole, with error bars which indicate a more and more significant tension. In this work, we study the effect of the peculiar velocity of the observer on correlations of nearby multipoles in the source number counts. We provide an unbiased estimator for the kinetic dipole amplitude, which is proportional to the peculiar velocity of the observer and we compute the expected signal to noise ratio. Near future experiments can achieve better than 5$\%$ constraints on the velocity of the Sun with our estimator.
