Abstract
We study the formation and evolution of topological defects in an aligned axion model with multiple Peccei-Quinn scalars, where the QCD axion is realized by a certain combination of the axions with decay constants much smaller than the conventional Peccei-Quinn breaking scale. When the underlying U(1) symmetries are spontaneously broken, the aligned structure in the axion field space exhibits itself as a complicated string-wall network in the real space. We find that the string-wall network likely survives until the QCD phase transition if the number of the Peccei-Quinn scalars is greater than two. The string-wall system collapses during the QCD phase transition, producing a significant amount of gravitational waves in the nano-Hz range at present. The typical decay constant is constrained to be below O(100) TeV by the pulsar timing observations, and the constraint will be improved by a factor of 2 in the future SKA observations.
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R.D. Peccei and H.R. Quinn, CP conservation in the presence of instantons, Phys. Rev. Lett. 38 (1977) 1440 [INSPIRE].
R.D. Peccei and H.R. Quinn, Constraints imposed by CP conservation in the presence of instantons, Phys. Rev. D 16 (1977) 1791 [INSPIRE].
S. Weinberg, A new light boson?, Phys. Rev. Lett. 40 (1978) 223 [INSPIRE].
F. Wilczek, Problem of strong p and t invariance in the presence of instantons, Phys. Rev. Lett. 40 (1978) 279 [INSPIRE].
R. Mayle, J.R. Wilson, J.R. Ellis, K.A. Olive, D.N. Schramm and G. Steigman, Constraints on axions from SN 1987a, Phys. Lett. B 203 (1988) 188 [INSPIRE].
G. Raffelt and D. Seckel, Bounds on exotic particle interactions from SN 1987a, Phys. Rev. Lett. 60 (1988) 1793 [INSPIRE].
M.S. Turner, Axions from SN 1987a, Phys. Rev. Lett. 60 (1988) 1797 [INSPIRE].
J. Preskill, M.B. Wise and F. Wilczek, Cosmology of the invisible axion, Phys. Lett. B 120 (1983) 127 [INSPIRE].
L.F. Abbott and P. Sikivie, A cosmological bound on the invisible axion, Phys. Lett. B 120 (1983) 133 [INSPIRE].
M. Dine and W. Fischler, The not so harmless axion, Phys. Lett. B 120 (1983) 137 [INSPIRE].
J.E. Kim, Light pseudoscalars, particle physics and cosmology, Phys. Rept. 150 (1987) 1 [INSPIRE].
J.E. Kim and G. Carosi, Axions and the strong CP problem, Rev. Mod. Phys. 82 (2010) 557 [arXiv:0807.3125] [INSPIRE].
O. Wantz and E.P.S. Shellard, Axion cosmology revisited, Phys. Rev. D 82 (2010) 123508 [arXiv:0910.1066] [INSPIRE].
A. Ringwald, Exploring the role of axions and other WISPs in the dark universe, Phys. Dark Univ. 1 (2012) 116 [arXiv:1210.5081] [INSPIRE].
M. Kawasaki and K. Nakayama, Axions: theory and cosmological role, Ann. Rev. Nucl. Part. Sci. 63 (2013) 69 [arXiv:1301.1123] [INSPIRE].
D.J.E. Marsh, Axion cosmology, Phys. Rept. 643 (2016) 1 [arXiv:1510.07633] [INSPIRE].
J.P. Conlon, The QCD axion and moduli stabilisation, JHEP 05 (2006) 078 [hep-th/0602233] [INSPIRE].
P. Svrček and E. Witten, Axions in string theory, JHEP 06 (2006) 051 [hep-th/0605206] [INSPIRE].
A. Arvanitaki, S. Dimopoulos, S. Dubovsky, N. Kaloper and J. March-Russell, String axiverse, Phys. Rev. D 81 (2010) 123530 [arXiv:0905.4720] [INSPIRE].
M. Cicoli, M. Goodsell and A. Ringwald, The type IIB string axiverse and its low-energy phenomenology, JHEP 10 (2012) 146 [arXiv:1206.0819] [INSPIRE].
J.E. Kim, H.P. Nilles and M. Peloso, Completing natural inflation, JCAP 01 (2005) 005 [hep-ph/0409138] [INSPIRE].
K. Choi, H. Kim and S. Yun, Natural inflation with multiple sub-Planckian axions, Phys. Rev. D 90 (2014) 023545 [arXiv:1404.6209] [INSPIRE].
T. Higaki and F. Takahashi, Natural and multi-natural inflation in axion landscape, JHEP 07 (2014) 074 [arXiv:1404.6923] [INSPIRE].
T. Higaki and F. Takahashi, Axion landscape and natural inflation, Phys. Lett. B 744 (2015) 153 [arXiv:1409.8409] [INSPIRE].
R. Kappl, S. Krippendorf and H.P. Nilles, Aligned natural inflation: monodromies of two axions, Phys. Lett. B 737 (2014) 124 [arXiv:1404.7127] [INSPIRE].
I. Ben-Dayan, F.G. Pedro and A. Westphal, Hierarchical axion inflation, Phys. Rev. Lett. 113 (2014) 261301 [arXiv:1404.7773] [INSPIRE].
C. Long, L. McAllister and P. McGuirk, Aligned natural inflation in string theory, Phys. Rev. D 90 (2014) 023501 [arXiv:1404.7852] [INSPIRE].
K. Harigaya and M. Ibe, Phase locked inflation — effectively trans-Planckian natural inflation, JHEP 11 (2014) 147 [arXiv:1407.4893] [INSPIRE].
K. Choi and S.H. Im, Realizing the relaxion from multiple axions and its UV completion with high scale supersymmetry, JHEP 01 (2016) 149 [arXiv:1511.00132] [INSPIRE].
D.E. Kaplan and R. Rattazzi, Large field excursions and approximate discrete symmetries from a clockwork axion, Phys. Rev. D 93 (2016) 085007 [arXiv:1511.01827] [INSPIRE].
T. Kobayashi and F. Takahashi, Running spectral index from inflation with modulations, JCAP 01 (2011) 026 [arXiv:1011.3988] [INSPIRE].
M. Czerny, T. Kobayashi and F. Takahashi, Running spectral index from large-field inflation with modulations revisited, Phys. Lett. B 735 (2014) 176 [arXiv:1403.4589] [INSPIRE].
G. Wang and T. Battefeld, Vacuum selection on axionic landscapes, JCAP 04 (2016) 025 [arXiv:1512.04224] [INSPIRE].
A. Masoumi and A. Vilenkin, Vacuum statistics and stability in axionic landscapes, JCAP 03 (2016) 054 [arXiv:1601.01662] [INSPIRE].
T. Higaki, K.S. Jeong, N. Kitajima and F. Takahashi, The QCD axion from aligned axions and diphoton excess, Phys. Lett. B 755 (2016) 13 [arXiv:1512.05295] [INSPIRE].
T. Higaki, K.S. Jeong, N. Kitajima and F. Takahashi, Quality of the Peccei-Quinn symmetry in the aligned QCD axion and cosmological implications, JHEP 06 (2016) 150 [arXiv:1603.02090] [INSPIRE].
ATLAS collaboration, Search for resonances decaying to photon pairs in 3.2 fb−1 of pp collisions at \( \sqrt{s}=13 \) TeV with the ATLAS detector, ATLAS-CONF-2015-081, CERN, Geneva Switzerland (2015).
ATLAS collaboration, Search for resonances in diphoton events with the ATLAS detector at \( \sqrt{s}=13 \) TeV, ATLAS-CONF-2016-018, CERN, Geneva Switzerland (2016).
CMS collaboration, Search for new physics in high mass diphoton events in proton-proton collisions at \( \sqrt{s}=13 \) TeV, CMS-PAS-EXO-15-004, CERN, Geneva Switzerland (2015).
CMS collaboration, Search for new physics in high mass diphoton events in 3.3 fb−1 of proton-proton collisions at \( \sqrt{s}=13 \) TeV and combined interpretation of searches at 8 TeV and 13 TeV, CMS-PAS-EXO-16-018, CERN, Geneva Switzerland (2016).
C.-W. Chiang, H. Fukuda, M. Ibe and T.T. Yanagida, 750 GeV diphoton resonance in a visible heavy QCD axion model, Phys. Rev. D 93 (2016) 095016 [arXiv:1602.07909] [INSPIRE].
T. Gherghetta, N. Nagata and M. Shifman, A visible QCD axion from an enlarged color group, Phys. Rev. D 93 (2016) 115010 [arXiv:1604.01127] [INSPIRE].
S. Dimopoulos, A. Hook, J. Huang and G. Marques-Tavares, A 750 GeV QCD axion, arXiv:1606.03097 [INSPIRE].
L.M. Carpenter, M. Dine and G. Festuccia, Dynamics of the Peccei Quinn scale, Phys. Rev. D 80 (2009) 125017 [arXiv:0906.1273] [INSPIRE].
H. Fukuda, K. Harigaya, M. Ibe and T.T. Yanagida, Model of visible QCD axion, Phys. Rev. D 92 (2015) 015021 [arXiv:1504.06084] [INSPIRE].
T. Hiramatsu, M. Kawasaki, K. Saikawa and T. Sekiguchi, Axion cosmology with long-lived domain walls, JCAP 01 (2013) 001 [arXiv:1207.3166] [INSPIRE].
M. Kawasaki, K. Saikawa and T. Sekiguchi, Axion dark matter from topological defects, Phys. Rev. D 91 (2015) 065014 [arXiv:1412.0789] [INSPIRE].
R. Daido, N. Kitajima and F. Takahashi, Domain wall formation from level crossing in the axiverse, Phys. Rev. D 92 (2015) 063512 [arXiv:1505.07670] [INSPIRE].
R. Daido, N. Kitajima and F. Takahashi, Level crossing between the QCD axion and an axionlike particle, Phys. Rev. D 93 (2016) 075027 [arXiv:1510.06675] [INSPIRE].
L. Lentati et al., European pulsar timing array limits on an isotropic stochastic gravitational-wave background, Mon. Not. Roy. Astron. Soc. 453 (2015) 2576 [arXiv:1504.03692] [INSPIRE].
NANOGrav collaboration, Z. Arzoumanian et al., The NANOGrav nine-year data set: limits on the isotropic stochastic gravitational wave background, Astrophys. J. 821 (2016) 13 [arXiv:1508.03024] [INSPIRE].
P.D. Lasky et al., Gravitational-wave cosmology across 29 decades in frequency, Phys. Rev. X 6 (2016) 011035 [arXiv:1511.05994] [INSPIRE].
J.P.W. Verbiest et al., The international pulsar timing array: first data release, Mon. Not. Roy. Astron. Soc. 458 (2016) 1267 [arXiv:1602.03640] [INSPIRE].
J.E. Kim, Weak interaction singlet and strong CP invariance, Phys. Rev. Lett. 43 (1979) 103 [INSPIRE].
M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, Can confinement ensure natural CP invariance of strong interactions?, Nucl. Phys. B 166 (1980) 493 [INSPIRE].
P. Sikivie, The axion couplings, UFTP-86-28, (1986) [INSPIRE].
J. Jaeckel, V.M. Mehta and L.T. Witkowski, Monodromy dark matter, arXiv:1605.01367 [INSPIRE].
X.I.A. Yang and R. Mittal, Acceleration of the Jacobi iterative method by factors exceeding 100 using scheduled relaxation, J. Comput. Phys. 274 (2014) 695.
J.E. Adsuara, I. Cordero-Carrión, P. Cerdá-Durán and M.A. Aloy, Scheduled relaxation Jacobi method: improvements and applications, J. Comput. Phys. 321 (2016) 369 [arXiv:1511.04292] [INSPIRE].
G.B. Gelmini, M. Gleiser and E.W. Kolb, Cosmology of biased discrete symmetry breaking, Phys. Rev. D 39 (1989) 1558 [INSPIRE].
M. Gleiser and R. Roberts, Gravitational waves from collapsing vacuum domains, Phys. Rev. Lett. 81 (1998) 5497 [astro-ph/9807260] [INSPIRE].
T. Hiramatsu, M. Kawasaki and K. Saikawa, Gravitational waves from collapsing domain walls, JCAP 05 (2010) 032 [arXiv:1002.1555] [INSPIRE].
M. Kawasaki and K. Saikawa, Study of gravitational radiation from cosmic domain walls, JCAP 09 (2011) 008 [arXiv:1102.5628] [INSPIRE].
T. Hiramatsu, M. Kawasaki and K. Saikawa, On the estimation of gravitational wave spectrum from cosmic domain walls, JCAP 02 (2014) 031 [arXiv:1309.5001] [INSPIRE].
G. Janssen et al., Gravitational wave astronomy with the SKA, PoS(AASKA14)037 [arXiv:1501.00127] [INSPIRE].
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Higaki, T., Jeong, K.S., Kitajima, N. et al. Topological defects and nano-Hz gravitational waves in aligned axion models. J. High Energ. Phys. 2016, 44 (2016). https://doi.org/10.1007/JHEP08(2016)044
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DOI: https://doi.org/10.1007/JHEP08(2016)044