000619731 001__ 619731 000619731 005__ 20250122165508.0 000619731 0247_ $$2arXiv$$aarXiv:2412.14106 000619731 0247_ $$2datacite_doi$$a10.3204/PUBDB-2024-07866 000619731 037__ $$aPUBDB-2024-07866 000619731 041__ $$aEnglish 000619731 088__ $$2DESY$$aDESY-24-205 000619731 088__ $$2arXiv$$aarXiv:2412.14106 000619731 088__ $$2Other$$aIFT UAM-CSIC 24-183 000619731 1001_ $$0P:(DE-H253)PIP1015746$$aKonstandin, Thomas$$b0 000619731 245__ $$aIntrinsic non-Gaussianity of ultra slow-roll inflation 000619731 260__ $$c2024 000619731 3367_ $$0PUB:(DE-HGF)25$$2PUB:(DE-HGF)$$aPreprint$$bpreprint$$mpreprint$$s1737463263_4009342 000619731 3367_ $$2ORCID$$aWORKING_PAPER 000619731 3367_ $$028$$2EndNote$$aElectronic Article 000619731 3367_ $$2DRIVER$$apreprint 000619731 3367_ $$2BibTeX$$aARTICLE 000619731 3367_ $$2DataCite$$aOutput Types/Working Paper 000619731 500__ $$a28 pages, 7 figures; v2: added references + modified figure, results unaffected 000619731 520__ $$aWe study the non-Gaussian tail of the curvature fluctuation, $\zeta$, in an inflationary scenario with a transient ultra slow-roll phase that generates a localized large enhancement of the spectrum of $\zeta$. To do so, we implement a numerical procedure that provides the probability distribution of $\zeta$ order by order in perturbation theory. The non-Gaussianities of $\zeta$ can be shown to arise from its non-linear relation to the inflaton fluctuations and from the intrinsic non-Gaussianities of the latter, which stem from its self interactions. We find that intrinsic non-Gaussianities, which have often been ignored to estimate the abundance of primordial black holes in this kind of scenario, are important. The relevance of the intrinsic contribution depends on the rapidity with which the transient ultra slow-roll phase occurs, as well as on its duration. Our method cannot be used accurately when the perturbative in-in formalism fails to apply, highlighting the relevance of developing fully non-perturbative approaches to the problem. 000619731 536__ $$0G:(DE-HGF)POF4-611$$a611 - Fundamental Particles and Forces (POF4-611)$$cPOF4-611$$fPOF IV$$x0 000619731 536__ $$0G:(GEPRIS)390833306$$aDFG project G:(GEPRIS)390833306 - EXC 2121: Quantum Universe (390833306)$$c390833306$$x1 000619731 588__ $$aDataset connected to DataCite 000619731 693__ $$0EXP:(DE-MLZ)NOSPEC-20140101$$5EXP:(DE-MLZ)NOSPEC-20140101$$eNo specific instrument$$x0 000619731 7001_ $$0P:(DE-HGF)0$$aBallesteros, Guillermo$$b1 000619731 7001_ $$0P:(DE-HGF)0$$aEgea, Jesús Gambín$$b2 000619731 7001_ $$0P:(DE-HGF)0$$aRodríguez, Alejandro Pérez$$b3 000619731 7001_ $$0P:(DE-H253)PIP1098681$$aPierre, Mathias$$b4$$eCorresponding author 000619731 7001_ $$0P:(DE-H253)PIP1099356$$aRey Idler, Julian Leonardo$$b5 000619731 8564_ $$uhttps://bib-pubdb1.desy.de/record/619731/files/HTML-Approval_of_scientific_publication.html 000619731 8564_ $$uhttps://bib-pubdb1.desy.de/record/619731/files/PDF-Approval_of_scientific_publication.pdf 000619731 8564_ $$uhttps://bib-pubdb1.desy.de/record/619731/files/2412.14106v2.pdf$$yOpenAccess 000619731 8564_ $$uhttps://bib-pubdb1.desy.de/record/619731/files/2412.14106v2.pdf?subformat=pdfa$$xpdfa$$yOpenAccess 000619731 909CO $$ooai:bib-pubdb1.desy.de:619731$$pdnbdelivery$$pdriver$$pVDB$$popen_access$$popenaire 000619731 9101_ $$0I:(DE-588b)2008985-5$$6P:(DE-H253)PIP1015746$$aDeutsches Elektronen-Synchrotron$$b0$$kDESY 000619731 9101_ $$0I:(DE-588b)2008985-5$$6P:(DE-H253)PIP1098681$$aDeutsches Elektronen-Synchrotron$$b4$$kDESY 000619731 9101_ $$0I:(DE-588b)2008985-5$$6P:(DE-H253)PIP1099356$$aDeutsches Elektronen-Synchrotron$$b5$$kDESY 000619731 9131_ $$0G:(DE-HGF)POF4-611$$1G:(DE-HGF)POF4-610$$2G:(DE-HGF)POF4-600$$3G:(DE-HGF)POF4$$4G:(DE-HGF)POF$$aDE-HGF$$bForschungsbereich Materie$$lMatter and the Universe$$vFundamental Particles and Forces$$x0 000619731 9141_ $$y2024 000619731 915__ $$0StatID:(DE-HGF)0510$$2StatID$$aOpenAccess 000619731 915__ $$0LIC:(DE-HGF)CCBY4$$2HGFVOC$$aCreative Commons Attribution CC BY 4.0 000619731 9201_ $$0I:(DE-H253)T-20120731$$kT$$lTheorie-Gruppe$$x0 000619731 980__ $$apreprint 000619731 980__ $$aVDB 000619731 980__ $$aUNRESTRICTED 000619731 980__ $$aI:(DE-H253)T-20120731 000619731 9801_ $$aFullTexts