We consider the renormalization in the pseudo-scalar inflation models with the gravitational Chern-Simons term. In this model, lepton asymmetry is generated from the chiral gravitational waves produced due to the Chern-Simons term through the gravitational chiral anomaly. However, it is known that the naive estimate of the expectation value of the gravitational Chern-Pontryagin density as well as the resultant lepton number density depend on the UV-cutoff scale, which raises a question on their validity. In this paper, we propose a way to renormalize the expectation value of the Chern-Pontryagin density to remove the UV-cutoff dependence. We also discuss the renormalized lepton number density when we adopt the minimal subtraction scheme and the viability of the gravitational leptogenesis scenario.

中文翻译：

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具有伪标量-张量耦合的引力轻质发生重整化

我们考虑具有引力陈-西蒙斯项的伪标量膨胀模型中的重整化。在这个模型中，轻子不对称性是由陈-西蒙斯项通过引力手征异常产生的手征引力波产生的。然而，众所周知，对引力陈-庞特里亚金密度的期望值以及由此产生的轻子数密度的天真估计取决于紫外线截止尺度，这引发了对其有效性的质疑。在本文中，我们提出了一种重新归一化 Chern-Pontryagin 密度期望值的方法，以消除 UV 截止依赖性。我们还讨论了采用最小减法方案时的重整化轻子数密度和引力轻子发生场景的可行性。