Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 10, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1475-7516/2020/10/030
Keywords
leptogenesis; inflation; primordial gravitational waves (theory)
Funding
- JSPS KAKENHI [JP19K03842, 19H04610, 20J21866, JP19J00494]
- research program of the Leading Graduate Course for Frontiers of Mathematical Sciences and Physics (FMSP)
- Grants-in-Aid for Scientific Research [20J21866, 19H04610] Funding Source: KAKEN
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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.
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