Abstract
We point out that SO(2N) pure Yang-Mills theory provides a candidate for dark matter (DM) without the explicit need to impose any additional symmetry. The DM candidate is a particular type of glueball, which we refer to as a baryonic glueball, that is naturally stable and produced by a novel production mechanism for a moderately large N. In this case, the intercommutation probability of cosmic strings (or macroscopic color flux tubes) is quite low, which offers characteristic gravitational wave signals to test our model. In particular, our model can simultaneously account for both abundance of DM and the recently reported gravitational wave signals detected in pulsar timing array experiments, including NANOGrav.
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References
E. Witten, Cosmic Superstrings, Phys. Lett. B 153 (1985) 243 [INSPIRE].
M. Yamada and K. Yonekura, Cosmic strings from pure Yang-Mills theory, Phys. Rev. D 106 (2022) 123515 [arXiv:2204.13123] [INSPIRE].
M. Yamada and K. Yonekura, Cosmic F- and D-strings from pure Yang-Mills theory, Phys. Lett. B 838 (2023) 137724 [arXiv:2204.13125] [INSPIRE].
M. Reichert, F. Sannino, Z.-W. Wang and C. Zhang, Dark confinement and chiral phase transitions: gravitational waves vs matter representations, JHEP 01 (2022) 003 [arXiv:2109.11552] [INSPIRE].
E. Morgante, N. Ramberg and P. Schwaller, Gravitational waves from dark SU(3) Yang-Mills theory, Phys. Rev. D 107 (2023) 036010 [arXiv:2210.11821] [INSPIRE].
S. He, L. Li, Z. Li and S.-J. Wang, Gravitational Waves and Primordial Black Hole Productions from Gluodynamics, arXiv:2210.14094 [INSPIRE].
M. Reichert and Z.-W. Wang, Gravitational Waves from dark composite dynamics, EPJ Web Conf. 274 (2022) 08003 [arXiv:2211.08877] [INSPIRE].
C.J. Morningstar and M.J. Peardon, The Glueball spectrum from an anisotropic lattice study, Phys. Rev. D 60 (1999) 034509 [hep-lat/9901004] [INSPIRE].
B. Lucini, A. Rago and E. Rinaldi, Glueball masses in the large N limit, JHEP 08 (2010) 119 [arXiv:1007.3879] [INSPIRE].
D. Curtin, C. Gemmell and C.B. Verhaaren, Simulating glueball production in Nf = 0 QCD, Phys. Rev. D 106 (2022) 075015 [arXiv:2202.12899] [INSPIRE].
J.E. Juknevich, D. Melnikov and M.J. Strassler, A Pure-Glue Hidden Valley I. States and Decays, JHEP 07 (2009) 055 [arXiv:0903.0883] [INSPIRE].
J.E. Juknevich, Pure-glue hidden valleys through the Higgs portal, JHEP 08 (2010) 121 [arXiv:0911.5616] [INSPIRE].
J. Halverson, B.D. Nelson and F. Ruehle, String Theory and the Dark Glueball Problem, Phys. Rev. D 95 (2017) 043527 [arXiv:1609.02151] [INSPIRE].
P. Asadi et al., Glueballs in a thermal squeezeout model, JHEP 07 (2022) 006 [arXiv:2203.15813] [INSPIRE].
A.E. Faraggi and M. Pospelov, Selfinteracting dark matter from the hidden heterotic string sector, Astropart. Phys. 16 (2002) 451 [hep-ph/0008223] [INSPIRE].
J.L. Feng and Y. Shadmi, WIMPless Dark Matter from Non-Abelian Hidden Sectors with Anomaly-Mediated Supersymmetry Breaking, Phys. Rev. D 83 (2011) 095011 [arXiv:1102.0282] [INSPIRE].
K.K. Boddy, J.L. Feng, M. Kaplinghat and T.M.P. Tait, Self-Interacting Dark Matter from a Non-Abelian Hidden Sector, Phys. Rev. D 89 (2014) 115017 [arXiv:1402.3629] [INSPIRE].
K.K. Boddy et al., Strongly interacting dark matter: Self-interactions and keV lines, Phys. Rev. D 90 (2014) 095016 [arXiv:1408.6532] [INSPIRE].
A. Soni and Y. Zhang, Hidden SU(N) Glueball Dark Matter, Phys. Rev. D 93 (2016) 115025 [arXiv:1602.00714] [INSPIRE].
G.D. Kribs and E.T. Neil, Review of strongly-coupled composite dark matter models and lattice simulations, Int. J. Mod. Phys. A 31 (2016) 1643004 [arXiv:1604.04627] [INSPIRE].
L. Forestell, D.E. Morrissey and K. Sigurdson, Non-Abelian Dark Forces and the Relic Densities of Dark Glueballs, Phys. Rev. D 95 (2017) 015032 [arXiv:1605.08048] [INSPIRE].
A. Soni, H. Xiao and Y. Zhang, Cosmic selection rule for the glueball dark matter relic density, Phys. Rev. D 96 (2017) 083514 [arXiv:1704.02347] [INSPIRE].
L. Forestell, D.E. Morrissey and K. Sigurdson, Cosmological Bounds on Non-Abelian Dark Forces, Phys. Rev. D 97 (2018) 075029 [arXiv:1710.06447] [INSPIRE].
B. Jo, H. Kim, H.D. Kim and C.S. Shin, Exploring the Universe with dark light scalars, Phys. Rev. D 103 (2021) 083528 [arXiv:2010.10880] [INSPIRE].
P. Carenza, R. Pasechnik, G. Salinas and Z.-W. Wang, Glueball Dark Matter Revisited, Phys. Rev. Lett. 129 (2022) 261302 [arXiv:2207.13716] [INSPIRE].
P. Carenza, T. Ferreira, R. Pasechnik and Z.-W. Wang, Glueball dark matter, precisely, arXiv:2306.09510 [INSPIRE].
H. Murayama and J. Shu, Topological Dark Matter, Phys. Lett. B 686 (2010) 162 [arXiv:0905.1720] [INSPIRE].
S. Baek, P. Ko and W.-I. Park, Hidden sector monopole, vector dark matter and dark radiation with Higgs portal, JCAP 10 (2014) 067 [arXiv:1311.1035] [INSPIRE].
V.V. Khoze and G. Ro, Dark matter monopoles, vectors and photons, JHEP 10 (2014) 061 [arXiv:1406.2291] [INSPIRE].
M. Kawasaki, F. Takahashi and M. Yamada, Suppressing the QCD Axion Abundance by Hidden Monopoles, Phys. Lett. B 753 (2016) 677 [arXiv:1511.05030] [INSPIRE].
NANOGrav collaboration, The NANOGrav 15 yr Data Set: Evidence for a Gravitational-wave Background, Astrophys. J. Lett. 951 (2023) L8 [arXiv:2306.16213] [INSPIRE].
D.J. Reardon et al., Search for an Isotropic Gravitational-wave Background with the Parkes Pulsar Timing Array, Astrophys. J. Lett. 951 (2023) L6 [arXiv:2306.16215] [INSPIRE].
EPTA collaboration, The second data release from the European Pulsar Timing Array III. Search for gravitational wave signals, arXiv:2306.16214 [INSPIRE].
H. Xu et al., Searching for the Nano-Hertz Stochastic Gravitational Wave Background with the Chinese Pulsar Timing Array Data Release I, Res. Astron. Astrophys. 23 (2023) 075024 [arXiv:2306.16216] [INSPIRE].
C. Gross, S. Karamitsos, G. Landini and A. Strumia, Gravitational Vector Dark Matter, JHEP 03 (2021) 174 [arXiv:2012.12087] [INSPIRE].
E. Witten, Baryons in the 1/n Expansion, Nucl. Phys. B 160 (1979) 57 [INSPIRE].
E. Witten, Baryons and branes in anti-de Sitter space, JHEP 07 (1998) 006 [hep-th/9805112] [INSPIRE].
O. Aharony et al., The Hagedorn-deconfinement phase transition in weakly coupled large N gauge theories, Adv. Theor. Math. Phys. 8 (2004) 603 [hep-th/0310285] [INSPIRE].
T. Bhattacharya et al., QCD Phase Transition with Chiral Quarks and Physical Quark Masses, Phys. Rev. Lett. 113 (2014) 082001 [arXiv:1402.5175] [INSPIRE].
E. Witten, Cosmic Separation of Phases, Phys. Rev. D 30 (1984) 272 [INSPIRE].
D.J. Gross, R.D. Pisarski and L.G. Yaffe, QCD and Instantons at Finite Temperature, Rev. Mod. Phys. 53 (1981) 43 [INSPIRE].
S.K. Kobayashi, T. Yokokura and K. Yonekura, The QCD phase diagram in the space of imaginary chemical potential via ’t Hooft anomalies, JHEP 08 (2023) 132 [arXiv:2305.01217] [INSPIRE].
O. Aharony, S. Minwalla and T. Wiseman, Plasma-balls in large N gauge theories and localized black holes, Class. Quant. Grav. 23 (2006) 2171 [hep-th/0507219] [INSPIRE].
E. Witten, Anti-de Sitter space, thermal phase transition, and confinement in gauge theories, Adv. Theor. Math. Phys. 2 (1998) 505 [hep-th/9803131] [INSPIRE].
D. Gaiotto, A. Kapustin, N. Seiberg and B. Willett, Generalized Global Symmetries, JHEP 02 (2015) 172 [arXiv:1412.5148] [INSPIRE].
F. Bigazzi, A. Caddeo, A.L. Cotrone and A. Paredes, Fate of false vacua in holographic first-order phase transitions, JHEP 12 (2020) 200 [arXiv:2008.02579] [INSPIRE].
F. Bigazzi, A. Caddeo, A.L. Cotrone and A. Paredes, Dark Holograms and Gravitational Waves, JHEP 04 (2021) 094 [arXiv:2011.08757] [INSPIRE].
J. Halverson et al., Gravitational waves from dark Yang-Mills sectors, JHEP 05 (2021) 154 [arXiv:2012.04071] [INSPIRE].
W.-C. Huang, M. Reichert, F. Sannino and Z.-W. Wang, Testing the dark SU(N) Yang-Mills theory confined landscape: From the lattice to gravitational waves, Phys. Rev. D 104 (2021) 035005 [arXiv:2012.11614] [INSPIRE].
Planck collaboration, Planck 2018 results. VI. Cosmological parameters, Astron. Astrophys. 641 (2020) A6 [Erratum ibid. 652 (2021) C4] [arXiv:1807.06209] [INSPIRE].
A. Athenodorou and M. Teper, SU(N) gauge theories in 3+1 dimensions: glueball spectrum, string tensions and topology, JHEP 12 (2021) 082 [arXiv:2106.00364] [INSPIRE].
G. Dvali and A. Vilenkin, Formation and evolution of cosmic D strings, JCAP 03 (2004) 010 [hep-th/0312007] [INSPIRE].
E.J. Copeland, R.C. Myers and J. Polchinski, Cosmic F and D strings, JHEP 06 (2004) 013 [hep-th/0312067] [INSPIRE].
J. Polchinski, Collision of Macroscopic Fundamental Strings, Phys. Lett. B 209 (1988) 252 [INSPIRE].
M.G. Jackson, N.T. Jones and J. Polchinski, Collisions of cosmic F and D-strings, JHEP 10 (2005) 013 [hep-th/0405229] [INSPIRE].
A. Hanany and K. Hashimoto, Reconnection of colliding cosmic strings, JHEP 06 (2005) 021 [hep-th/0501031] [INSPIRE].
A. Avgoustidis and E.P.S. Shellard, Velocity-Dependent Models for Non-Abelian/Entangled String Networks, Phys. Rev. D 78 (2008) 103510 [Erratum ibid. 80 (2009) 129907] [arXiv:0705.3395] [INSPIRE].
A. Rajantie, M. Sakellariadou and H. Stoica, Numerical experiments with p F- and q D-strings: The Formation of (p, q) bound states, JCAP 11 (2007) 021 [arXiv:0706.3662] [INSPIRE].
A. Pourtsidou et al., Scaling configurations of cosmic superstring networks and their cosmological implications, Phys. Rev. D 83 (2011) 063525 [arXiv:1012.5014] [INSPIRE].
A. Vilenkin, Gravitational radiation from cosmic strings, Phys. Lett. B 107 (1981) 47 [INSPIRE].
T. Vachaspati and A. Vilenkin, Gravitational Radiation from Cosmic Strings, Phys. Rev. D 31 (1985) 3052 [INSPIRE].
T.W.B. Kibble, Evolution of a system of cosmic strings, Nucl. Phys. B 252 (1985) 227 [Erratum ibid. 261 (1985) 750] [INSPIRE].
C.J.A.P. Martins and E.P.S. Shellard, String evolution with friction, Phys. Rev. D 53 (1996) 575 [hep-ph/9507335] [INSPIRE].
C.J.A.P. Martins and E.P.S. Shellard, Quantitative string evolution, Phys. Rev. D 54 (1996) 2535 [hep-ph/9602271] [INSPIRE].
C.J.A.P. Martins and E.P.S. Shellard, Extending the velocity dependent one scale string evolution model, Phys. Rev. D 65 (2002) 043514 [hep-ph/0003298] [INSPIRE].
A. Avgoustidis and E.P.S. Shellard, Effect of reconnection probability on cosmic (super)string network density, Phys. Rev. D 73 (2006) 041301 [astro-ph/0512582] [INSPIRE].
R.R. Caldwell and B. Allen, Cosmological constraints on cosmic string gravitational radiation, Phys. Rev. D 45 (1992) 3447 [INSPIRE].
M.R. DePies and C.J. Hogan, Stochastic Gravitational Wave Background from Light Cosmic Strings, Phys. Rev. D 75 (2007) 125006 [astro-ph/0702335] [INSPIRE].
S.A. Sanidas, R.A. Battye and B.W. Stappers, Constraints on cosmic string tension imposed by the limit on the stochastic gravitational wave background from the European Pulsar Timing Array, Phys. Rev. D 85 (2012) 122003 [arXiv:1201.2419] [INSPIRE].
L. Sousa and P.P. Avelino, Stochastic Gravitational Wave Background generated by Cosmic String Networks: Velocity-Dependent One-Scale model versus Scale-Invariant Evolution, Phys. Rev. D 88 (2013) 023516 [arXiv:1304.2445] [INSPIRE].
L. Sousa and P.P. Avelino, Probing Cosmic Superstrings with Gravitational Waves, Phys. Rev. D 94 (2016) 063529 [arXiv:1606.05585] [INSPIRE].
J.J. Blanco-Pillado, K.D. Olum and B. Shlaer, The number of cosmic string loops, Phys. Rev. D 89 (2014) 023512 [arXiv:1309.6637] [INSPIRE].
C. Ringeval, M. Sakellariadou and F. Bouchet, Cosmological evolution of cosmic string loops, JCAP 02 (2007) 023 [astro-ph/0511646] [INSPIRE].
J.J. Blanco-Pillado, K.D. Olum and B. Shlaer, Large parallel cosmic string simulations: New results on loop production, Phys. Rev. D 83 (2011) 083514 [arXiv:1101.5173] [INSPIRE].
J.J. Blanco-Pillado and K.D. Olum, Stochastic gravitational wave background from smoothed cosmic string loops, Phys. Rev. D 96 (2017) 104046 [arXiv:1709.02693] [INSPIRE].
J.J. Blanco-Pillado, K.D. Olum and X. Siemens, New limits on cosmic strings from gravitational wave observation, Phys. Lett. B 778 (2018) 392 [arXiv:1709.02434] [INSPIRE].
KAGRA et al. collaborations, Upper limits on the isotropic gravitational-wave background from Advanced LIGO and Advanced Virgo’s third observing run, Phys. Rev. D 104 (2021) 022004 [arXiv:2101.12130] [INSPIRE].
LIGO Scientific et al. collaborations, Constraints on Cosmic Strings Using Data from the Third Advanced LIGO-Virgo Observing Run, Phys. Rev. Lett. 126 (2021) 241102 [arXiv:2101.12248] [INSPIRE].
K. Schmitz, New Sensitivity Curves for Gravitational-Wave Signals from Cosmological Phase Transitions, JHEP 01 (2021) 097 [arXiv:2002.04615] [INSPIRE].
G. Janssen et al., Gravitational wave astronomy with the SKA, PoS AASKA14 (2015) 037 [arXiv:1501.00127] [INSPIRE].
LISA collaboration, Laser Interferometer Space Antenna, arXiv:1702.00786 [INSPIRE].
S. Kawamura et al., The Japanese space gravitational wave antenna: DECIGO, Class. Quant. Grav. 28 (2011) 094011 [INSPIRE].
S. Kawamura et al., Current status of space gravitational wave antenna DECIGO and B-DECIGO, PTEP 2021 (2021) 05A105 [arXiv:2006.13545] [INSPIRE].
G.M. Harry et al., Laser interferometry for the big bang observer, Class. Quant. Grav. 23 (2006) 4887 [Erratum ibid. 23 (2006) 7361] [INSPIRE].
M. Punturo et al., The Einstein Telescope: A third-generation gravitational wave observatory, Class. Quant. Grav. 27 (2010) 194002 [INSPIRE].
M. Maggiore et al., Science Case for the Einstein Telescope, JCAP 03 (2020) 050 [arXiv:1912.02622] [INSPIRE].
D. Reitze et al., Cosmic Explorer: The U.S. Contribution to Gravitational-Wave Astronomy beyond LIGO, Bull. Am. Astron. Soc. 51 (2019) 035 [arXiv:1907.04833] [INSPIRE].
KAGRA collaboration, Detector configuration of KAGRA: The Japanese cryogenic gravitational-wave detector, Class. Quant. Grav. 29 (2012) 124007 [arXiv:1111.7185] [INSPIRE].
KAGRA collaboration, Overview of KAGRA: KAGRA science, arXiv:2008.02921 [https://doi.org/10.1093/ptep/ptaa120] [INSPIRE].
J. Ellis, M. Lewicki, C. Lin and V. Vaskonen, Cosmic Superstrings Revisited in Light of NANOGrav 15-Year Data, arXiv:2306.17147 [INSPIRE].
J. Ellis and M. Lewicki, Cosmic String Interpretation of NANOGrav Pulsar Timing Data, Phys. Rev. Lett. 126 (2021) 041304 [arXiv:2009.06555] [INSPIRE].
S. Blasi, V. Brdar and K. Schmitz, Has NANOGrav found first evidence for cosmic strings?, Phys. Rev. Lett. 126 (2021) 041305 [arXiv:2009.06607] [INSPIRE].
R. Samanta and S. Datta, Gravitational wave complementarity and impact of NANOGrav data on gravitational leptogenesis, JHEP 05 (2021) 211 [arXiv:2009.13452] [INSPIRE].
J.J. Blanco-Pillado, K.D. Olum and J.M. Wachter, Comparison of cosmic string and superstring models to NANOGrav 12.5-year results, Phys. Rev. D 103 (2021) 103512 [arXiv:2102.08194] [INSPIRE].
NANOGrav collaboration, The NANOGrav 15 yr Data Set: Search for Signals from New Physics, Astrophys. J. Lett. 951 (2023) L11 [arXiv:2306.16219] [INSPIRE].
EPTA collaboration, The second data release from the European Pulsar Timing Array: V. Implications for massive black holes, dark matter and the early Universe, arXiv:2306.16227 [INSPIRE].
N. Kitajima and K. Nakayama, Nanohertz gravitational waves from cosmic strings and dark photon dark matter, arXiv:2306.17390 [INSPIRE].
Z. Wang et al., The nanohertz stochastic gravitational-wave background from cosmic string Loops and the abundant high redshift massive galaxies, arXiv:2306.17150 [INSPIRE].
L. Bian et al., Gravitational wave sources for Pulsar Timing Arrays, arXiv:2307.02376 [INSPIRE].
G. Lazarides, R. Maji and Q. Shafi, Superheavy quasi-stable strings and walls bounded by strings in the light of NANOGrav 15 year data, arXiv:2306.17788 [INSPIRE].
A. Eichhorn, R.R. Lino dos Santos and J.L. Miqueleto, From quantum gravity to gravitational waves through cosmic strings, arXiv:2306.17718 [INSPIRE].
D.G. Figueroa, M. Pieroni, A. Ricciardone and P. Simakachorn, Cosmological Background Interpretation of Pulsar Timing Array Data, arXiv:2307.02399 [INSPIRE].
Y.-M. Wu, Z.-C. Chen and Q.-G. Huang, Cosmological Interpretation for the Stochastic Signal in Pulsar Timing Arrays, arXiv:2307.03141 [INSPIRE].
S. Antusch, K. Hinze, S. Saad and J. Steiner, Singling out SO(10) GUT models using recent PTA results, arXiv:2307.04595 [INSPIRE].
W. Buchmuller, V. Domcke and K. Schmitz, Metastable cosmic strings, arXiv:2307.04691 [INSPIRE].
Acknowledgments
The present work is supported by JSPS KAKENHI Grant Numbers 20H05851 (M.Y.), 23K13092 (M.Y.), 21H05188 (K.Y.), 17K14265 (K.Y.), and JST FOREST Program Grant Number JPMJFR2030 (K.Y.). MY was supported by MEXT Leading Initiative for Excellent Young Researchers.
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Yamada, M., Yonekura, K. Dark baryon from pure Yang-Mills theory and its GW signature from cosmic strings. J. High Energ. Phys. 2023, 197 (2023). https://doi.org/10.1007/JHEP09(2023)197
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DOI: https://doi.org/10.1007/JHEP09(2023)197