2013
DOI: 10.1088/1475-7516/2013/09/032
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Isocurvature constraints and anharmonic effects on QCD axion dark matter

Abstract: We revisit the isocurvature density perturbations induced by quantum fluctuations of the axion field by extending a recently developed analytic method and approximations to a time-dependent scalar potential, which enables us to follow the evolution of the axion until it starts to oscillate. We find that, as the initial misalignment angle approaches the hilltop of the potential, the isocurvature perturbations become significantly enhanced, while the non-Gaussianity parameter increases slowly but surely. As a re… Show more

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Cited by 72 publications
(85 citation statements)
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“…However we should also remark that the discussions are modified if the initial angle is as large as |θ | > 1; then the expansion (3.21) breaks down and the axion potential can no longer be approximated by a quadratic. The non-quadratic nature of the axion potential would lead to (i) an increase in the final axion DM density due to a delayed onset of the scalar oscillation [48,49], and (ii) a significant enhancement of the axion isocurvature due to a nonuniform onset of the oscillation, giving much stronger bounds on the inflation scale [50,51,52]. We also note that, besides such anharmonic initial conditions, a time-dependent m (e.g.…”
Section: Comments On Axion-like Fieldsmentioning
confidence: 86%
“…However we should also remark that the discussions are modified if the initial angle is as large as |θ | > 1; then the expansion (3.21) breaks down and the axion potential can no longer be approximated by a quadratic. The non-quadratic nature of the axion potential would lead to (i) an increase in the final axion DM density due to a delayed onset of the scalar oscillation [48,49], and (ii) a significant enhancement of the axion isocurvature due to a nonuniform onset of the oscillation, giving much stronger bounds on the inflation scale [50,51,52]. We also note that, besides such anharmonic initial conditions, a time-dependent m (e.g.…”
Section: Comments On Axion-like Fieldsmentioning
confidence: 86%
“…The constraint becomes much more * email: ksjeong@tuhep.phys.tohoku.ac.jp † email: fumi@tuhep.phys.tohoku.ac.jp stringent for a smaller value of f a due to anharmonic effects [6,7]. Clearly, a chaotic inflation model [8][9][10][11] is in tension with the axion CDM.…”
mentioning
confidence: 99%
“…This constraint can be interpreted as an upper bound on the inflation scale in the axion CDM scenario [3], H inf < 0.87 × 10 7 GeV f a 10 11 GeV 0.408 , (2) at 95% CL, where f a is the axion decay constant [4,5]. The constraint becomes much more * email: ksjeong@tuhep.phys.tohoku.ac.jp † email: fumi@tuhep.phys.tohoku.ac.jp stringent for a smaller value of f a due to anharmonic effects [6,7]. Clearly, a chaotic inflation model [8][9][10][11] is in tension with the axion CDM.…”
mentioning
confidence: 99%
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“…Before going further, let us discuss anharmonic effects, which have been neglected so far. The axion abundance produced from the coherent oscillation is enhanced if the initial axion position is close to the hilltop [69][70][71][72][73], where the axion potential is not approximated by a quadratic potential. Such effects can be included by taking 16) in the relation for the axion density (3.8), with F given by [72] 17) for 0 ≤ z < π 2 .…”
Section: Jhep07(2014)092mentioning
confidence: 99%