Renormalization in gravitational leptogenesis with pseudo-scalar-tensor coupling
Abstract
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.
Cite
@article{arxiv.2007.08029,
title = {Renormalization in gravitational leptogenesis with pseudo-scalar-tensor coupling},
author = {Kohei Kamada and Jun'ya Kume and Yusuke Yamada},
journal= {arXiv preprint arXiv:2007.08029},
year = {2020}
}
Comments
22 pages, 3 figures; v3: published version