标题： CMB 三阶统计量来自原初标量、矢量和张量的非高斯性 显示英文标题

标题： CMB Bispectrum from Primordial Scalar, Vector and Tensor non-Gaussianities

摘要： 我们提出了一种全天空形式，用于描述由原初非高斯性引起的宇宙微波背景（CMB）三阶谱，不仅包括标量扰动，还包括矢量和张量扰动。 我们发现，通过考虑矢量和张量模的角依赖性和偏振依赖性，三阶谱可以以显式有理不变的方式形成。 为了证明这一点并展示如何使用我们的形式，我们考虑了一个具体的例子，即两个标量和一个引力子之间的相关性作为非高斯性的来源。 结果表明，强度各向异性的CMB约化三阶谱被评估为多重极和两个标量与一个引力子之间的耦合常数的函数，表示为$g_{tss}$;$|b_{\ell \ell \ell}| \sim \ell^{-4} \times 8 \times 10^{-18} |g_{tss}|$。 通过估计信噪比，我们发现PLANCK实验将期望得到约束 as$|g_{tss}| < 6$。 显示英文摘要

摘要： We present an all-sky formalism for the Cosmic Microwave Background (CMB) bispectrum induced by the primordial non-Gaussianities not only in scalar but also in vector and tensor fluctuations. We find that the bispectrum can be formed in an explicitly rationally invariant way by taking into account the angular and polarization dependences of the vector and tensor modes. To demonstrate this and present how to use our formalism, we consider a specific example of the correlation between two scalars and a graviton as the source of non-Gaussianity. As a result, we show that the CMB reduced bispectrum of the intensity anisotropies is evaluated as a function of the multipole and the coupling constant between two scalars and a graviton denoted by $g_{tss}$; $|b_{\ell \ell \ell}| \sim \ell^{-4} \times 8 \times 10^{-18} |g_{tss}|$. By estimating the signal-to-noise ratio, we find that the constraint as $|g_{tss}| < 6$ will be expected from the PLANCK experiment.