自作用曲率的非高斯指纹
Non-Gaussian Fingerprints of Self-Interacting Curvaton
摘要：
我们研究了自相互作用曲率模型中的非高斯性，同时处理可重正化和不可重正化的多项式相互作用。我们系统地扫描了参数空间，并数值计算了非线性参数f_NL和g_NL。我们发现，即使在相互作用占主导地位的政权有大的区域与当前可观察到的界限一致。当相互作用占主导地位时，我们发现f_NL ~ 1/r_decay和g_NL ~ 1/r_decay的关系式有很大的偏差，其中r_decay是曲率对总能量密度的贡献。即使r_decay << 1，由于f_NL的符号作为参数的函数振荡，也总是存在f_NL ~ 0的区域。虽然g_NL也可以改变符号，但是通常g_NL在低f_NL区域中是非零的。因此，对于某些参数，非高斯统计由g_NL而不是f_NL主导。由于自相互作用，f_NL和g_NL的相对符号以及它们之间的函数关系都从二次情况得到了典型的修正，从而为曲率相互作用的实验检验提供了可能。
英文摘要：
We investigate non-Gaussianities in self-interacting curvaton models treating both renormalizable and non-renormalizable polynomial interactions. We scan the parameter space systematically and compute numerically the non-linearity parameters f_NL and g_NL. We find that even in the interaction dominated regime there are large regions consistent with current observable bounds. Whenever the interactions dominate, we discover significant deviations from the relations f_NL ~ 1/r_decay and g_NL ~ 1/r_decay valid for quadratic curvaton potentials, where r_decay measures the curvaton contribution to the total energy density at the time of its decay. Even if r_decay << 1, there always exists regions with f_NL ~ 0 since the sign of f_NL oscillates as a function of the parameters. While g_NL can also change sign, typically g_NL is non-zero in the low-f_NL regions. Hence, for some parameters the non-Gaussian statistics is dominated by g_NL rather than by f_NL. Due to self-interactions, both the relative signs of f_NL and g_NL and the functional relation between them is typically modified from the quadratic case, offering a possible experimental test of the curvaton interactions.
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