论文标题

快速扩展的宇宙中的右手中微子质量在右手中微子质量上的重子不对称和下限:一种分析方法

Baryon asymmetry and lower bound on right handed neutrino mass in fast expanding Universe: an analytical approach

论文作者

Chakraborty, Mainak, Roy, Sourov

论文摘要

当总能量密度包括新的标量场外的贡献外,宇宙的膨胀速率偏离了其标准值。在玻尔兹曼方程中发生的非平凡修改使众所周知的分析解决方案在非标准方案中不合适。在本研究中,我们使用某些清晰的近似值来得出效率因子的分析表达式(仅是玻尔兹曼方程组的解决方案)。通过将分析结果与通过Boltzmann方程的数值解决方案获得的分析结果并置为分析结果,可以观察到这些公式的准确性。宇宙的更快膨胀导致有效衰减参数减少,从而降低了由于反衰变而导致的不对称冲洗量。因此,在非标准的宇宙学场景中,有望直到当前时代生存的不对称性较大(在早期生成)。宇宙学的改变不会影响导致CP不对称产生的基本粒子物理模型。因此,从相同的粒子物理模型开始,我们最终将在非标准场景中出现较大的最终重子不对称。它暗示了最轻的右手中微子质量可能会放松,以产生足够的不对称性,这与当前的实验数据一致。

The expansion rate of the Universe deviates from its standard value when the total energy density includes contribution from a new scalar field apart from the radiation energy density. The non-trivial modifications incurred in the Boltzmann equations render the well known analytical solutions unsuitable in non standard scenario. In the present study we derive analytical expressions for the efficiency factor (which is nothing but solution of set of Boltzmann equations) using certain legible approximations. A fair degree of accuracy of these formulas have been observed by juxtaposing the analytical results with that obtained through numerical solution of Boltzmann equations. Faster expansion of the Universe results in decrement of the effective decay parameter which brings down the amount of washout of asymmetry due to inverse decay. Thus in non-standard cosmology scenario, a larger fraction of the asymmetry (generated at early epoch) is expected to survive till present epoch. Alteration of the cosmology does not affect the underlying particle physics model responsible for the generation of the CP asymmetry. Therefore starting from an identical particle physics model we will end up with a larger final baryon asymmetry in the non-standard scenario. It hints towards the possible relaxation of the lower bound of the lightest right handed neutrino mass required to produce adequate asymmetry which is in agreement with current experimental data.

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