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More precisely, we investigate natural inflation with two axions coupled with a SU(2) gauge field. Assuming a hierarchy between the coupling constants, we find that for certain initial conditions, conventional natural inflation commences and continues for tens of e-foldings, and subsequently chromo-natural inflation takes over from natural inflation. For these solutions, we expect that the predictions are in agreement with observations on CMB scales. Moreover, since chromo-natural inflation occurs in the latter part of the inflationary stage, chiral primordial gravitational waves are produced in the interesting frequency range higher than $10^{-10}$Hz, which might be detectable by future gravitational wave observations."}]},{"notation":[{"@value":"16 pages, 3 figures"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1070294045371017472","@type":"Researcher","personIdentifier":[{"@type":"NRID","@value":"9000344127198"}],"foaf:name":[{"@language":"en","@value":"Miura, 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Jiro"},{"@language":"ja","@value":"早田, 次郎"},{"@language":"ja-Kana","@value":"ソウダ, ジロウ"}]},{"@id":"https://cir.nii.ac.jp/crid/1070294045371017473","@type":"Researcher","personIdentifier":[{"@type":"NRID","@value":"9000344127197"}],"foaf:name":[{"@language":"en","@value":"Obata, Ippei"}]}],"publication":{"publicationIdentifier":[{"@type":"PISSN","@value":"15507998"},{"@type":"EISSN","@value":"15502368"}],"prism:publicationName":[{"@language":"en","@value":"Physical Review D"}],"dc:publisher":[{"@value":"American Physical Society (APS)"}],"prism:publicationDate":"2015-09-16","prism:volume":"92","prism:number":"6","prism:startingPage":"063516","prism:endingPage":"063516"},"reviewed":"false","dcterms:accessRights":"http://purl.org/coar/access_right/c_abf2","dc:rights":["©2015 American Physical 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