Realisation of the ultra-slow roll phase in Galileon inflation and PBH overproduction

Realisation of the ultra-slow roll phase in Galileon inflation and PBH overproduction

2 Jul 2024 | Sayantan Choudhury, Ahaskar Karde, Sudhakar Panda, and M. Sami
This paper explores the realization of the ultra-slow roll (USR) phase in Galileon inflation and its implications for the overproduction of primordial black holes (PBHs). The authors demonstrate that the USR phase, sandwiched between two slow-roll (SR) phases, can be implemented within the effective field theory (EFT) framework of Galileon inflation. This setup allows for the generation of scalar-induced gravity waves (SIGWs) consistent with pulsar timing array (PTA) data, while also addressing the issue of PBH overproduction. The study shows that the USR phase can lead to a comfortable PBH abundance of $ 10^{-3} \lesssim f_{PBH} < 1 $, which is consistent with the observed signal from the NANOGrav15 data. The paper also examines the impact of the equation of state (EoS) parameter on PBH formation and the generation of SIGWs. The authors find that the non-renormalization theorem in Galileon theory plays a crucial role in ensuring the stability of the scalar power spectrum and avoiding PBH overproduction. The study highlights the importance of sharp transitions in the inflationary scenario and provides a detailed analysis of the behavior of the slow-roll parameters in the three phases of inflation. The results show that the Galileon EFT framework can successfully describe the generation of SIGWs and the abundance of PBHs, while also providing constraints on the EFT coefficients that govern the inflationary dynamics. The paper concludes that the Galileon EFT framework is a promising approach for studying the early universe and its implications for the formation of PBHs and the generation of SIGWs.This paper explores the realization of the ultra-slow roll (USR) phase in Galileon inflation and its implications for the overproduction of primordial black holes (PBHs). The authors demonstrate that the USR phase, sandwiched between two slow-roll (SR) phases, can be implemented within the effective field theory (EFT) framework of Galileon inflation. This setup allows for the generation of scalar-induced gravity waves (SIGWs) consistent with pulsar timing array (PTA) data, while also addressing the issue of PBH overproduction. The study shows that the USR phase can lead to a comfortable PBH abundance of $ 10^{-3} \lesssim f_{PBH} < 1 $, which is consistent with the observed signal from the NANOGrav15 data. The paper also examines the impact of the equation of state (EoS) parameter on PBH formation and the generation of SIGWs. The authors find that the non-renormalization theorem in Galileon theory plays a crucial role in ensuring the stability of the scalar power spectrum and avoiding PBH overproduction. The study highlights the importance of sharp transitions in the inflationary scenario and provides a detailed analysis of the behavior of the slow-roll parameters in the three phases of inflation. The results show that the Galileon EFT framework can successfully describe the generation of SIGWs and the abundance of PBHs, while also providing constraints on the EFT coefficients that govern the inflationary dynamics. The paper concludes that the Galileon EFT framework is a promising approach for studying the early universe and its implications for the formation of PBHs and the generation of SIGWs.
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