CMB Bispectrum from Primordial Scalar, Vector and Tensor non-Gaussianities
CMB Bispectrum from Primordial Scalar, Vector and Tensor non-Gaussianities
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原初标量、矢量和张量非高斯性的 CMB 双谱
DOI：
10.1143/ptp.125.795
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发表时间：
2011
影响因子：
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通讯作者：
白石希典
中科院分区：
文献类型：
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作者：
K.Yamashita;D.S.Hirashima;白石希典;Toru Kawanishi;原田慎一;白石希典;河西 通;山下耕平;河西通;白石希典
我们给出了宇宙微波背景(CMB)双谱的全天形式，该双谱不仅在标量上，而且在矢量和张量涨落中都是由原始非高斯引起的。我们发现，通过考虑矢量模和张量模的角度和偏振依赖关系，双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主义，我们考虑了一个具体的例子，两个标量和一个引力子之间的关联作为非高斯性的来源。结果表明，强度各向异性的CmB约化双谱是多极和两个标量与一个引力子之间的耦合常数的函数；|bℓℓℓ|∼ℓ−4×8×10−18|gtss|。通过估计信噪比，我们发现普朗克实验将预期约束为|gtss|<；6。
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 bygtss; |bℓℓℓ| ∼ ℓ−4× 8 × 10−18|gtss|. By estimating the signal-to-noise ratio, we find that the constraint as |gtss| < 6 will be expected from the PLANCK experiment.