Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Skip to main content
Springer Nature Link
Account
Menu
Find a journal Publish with us Track your research
Search
Cart
  1. Home
  2. Journal of High Energy Physics
  3. Article

Bound-state formation, dissociation and decays of darkonium with potential non-relativistic Yukawa theory for scalar and pseudoscalar mediators

  • Regular Article - Theoretical Physics
  • Open access
  • Published: 25 March 2022
  • Volume 2022, article number 172, (2022)
  • Cite this article
Download PDF

You have full access to this open access article

Journal of High Energy Physics Aims and scope Submit manuscript
Bound-state formation, dissociation and decays of darkonium with potential non-relativistic Yukawa theory for scalar and pseudoscalar mediators
Download PDF
  • Simone Biondini  ORCID: orcid.org/0000-0003-2533-90031 &
  • Vladyslav Shtabovenko2 

  • 292 Accesses

  • 10 Citations

  • 1 Altmetric

  • Explore all metrics

A preprint version of the article is available at arXiv.

Abstract

Dark matter models with light mediators featuring sizable interactions among dark particles enjoy an increasing attention in the model building community due to the elegance with which they can potentially explain the scaling relations governing galactic halos and clusters of galaxies. In the present work we continue our study of such models using non-relativistic and potential non-relativistic effective field theories (NREFTs and pNREFTs) and explore the properties of a Yukawa-type model with scalar and pseudoscalar interactions between a low-energetic scalar mediator and heavy dark matter fermions. In particular, we make first steps towards the formulation of such theories at finite temperature by providing the thermal bound-state formation rate and the thermal break-up of bound states from the self-energies of the dark-pair fields, that interact with the thermal environment. We estimate numerically bound-state effects on the dark matter energy density, that provide up to a 35% correction depending on the relative size of the model couplings.

Article PDF

Download to read the full article text

Similar content being viewed by others

Freezing-in cannibal dark sectors

Article Open access 07 November 2024

Dark-matter bound states from Feynman diagrams

Article Open access 18 June 2015

Radiative bound-state-formation cross-sections for dark matter interacting via a Yukawa potential

Article Open access 13 April 2017
Use our pre-submission checklist

Avoid common mistakes on your manuscript.

References

  1. G. Arcadi et al., The waning of the WIMP? A review of models, searches, and constraints, Eur. Phys. J. C 78 (2018) 203 [arXiv:1703.07364] [INSPIRE].

    Article  ADS  Google Scholar 

  2. G. Bertone, D. Hooper and J. Silk, Particle dark matter: Evidence, candidates and constraints, Phys. Rept. 405 (2005) 279 [hep-ph/0404175] [INSPIRE].

    Article  ADS  Google Scholar 

  3. A. De Simone and T. Jacques, Simplified models vs. effective field theory approaches in dark matter searches, Eur. Phys. J. C 76 (2016) 367 [arXiv:1603.08002] [INSPIRE].

    Article  ADS  Google Scholar 

  4. K. Petraki and R. R. Volkas, Review of asymmetric dark matter, Int. J. Mod. Phys. A 28 (2013) 1330028 [arXiv:1305.4939] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  5. R. Foot and Z. K. Silagadze, Thin disk of co-rotating dwarfs: A fingerprint of dissipative (mirror) dark matter?, Phys. Dark Univ. 2 (2013) 163 [arXiv:1306.1305] [INSPIRE].

    Article  Google Scholar 

  6. R. Foot, Tully-Fisher relation, galactic rotation curves and dissipative mirror dark matter, JCAP 12 (2014) 047 [arXiv:1307.1755] [INSPIRE].

    Article  ADS  Google Scholar 

  7. R. Foot, A dark matter scaling relation from mirror dark matter, Phys. Dark Univ. 5–6 (2014) 236 [arXiv:1303.1727] [INSPIRE].

    Article  Google Scholar 

  8. M. Markevitch et al., Direct constraints on the dark matter self-interaction cross-section from the merging galaxy cluster 1E0657-56, Astrophys. J. 606 (2004) 819 [astro-ph/0309303] [INSPIRE].

    Article  ADS  Google Scholar 

  9. S. W. Randall, M. Markevitch, D. Clowe, A. H. Gonzalez and M. Bradac, Constraints on the Self-Interaction Cross-Section of Dark Matter from Numerical Simulations of the Merging Galaxy Cluster 1E 0657-56, Astrophys. J. 679 (2008) 1173 [arXiv:0704.0261] [INSPIRE].

    Article  ADS  Google Scholar 

  10. F. Kahlhoefer, K. Schmidt-Hoberg, M. T. Frandsen and S. Sarkar, Colliding clusters and dark matter self-interactions, Mon. Not. Roy. Astron. Soc. 437 (2014) 2865 [arXiv:1308.3419] [INSPIRE].

    Article  ADS  Google Scholar 

  11. D. Harvey, R. Massey, T. Kitching, A. Taylor and E. Tittley, The non-gravitational interactions of dark matter in colliding galaxy clusters, Science 347 (2015) 1462 [arXiv:1503.07675] [INSPIRE].

    Article  ADS  Google Scholar 

  12. M. Kaplinghat, S. Tulin and H.-B. Yu, Dark Matter Halos as Particle Colliders: Unified Solution to Small-Scale Structure Puzzles from Dwarfs to Clusters, Phys. Rev. Lett. 116 (2016) 041302 [arXiv:1508.03339] [INSPIRE].

    Article  ADS  Google Scholar 

  13. R. Laha, Directional detection of dark matter in universal bound states, Phys. Rev. D 92 (2015) 083509 [arXiv:1505.02772] [INSPIRE].

    Article  ADS  Google Scholar 

  14. J. L. Feng, M. Kaplinghat, H. Tu and H.-B. Yu, Hidden Charged Dark Matter, JCAP 07 (2009) 004 [arXiv:0905.3039] [INSPIRE].

    Article  ADS  Google Scholar 

  15. W. Detmold, M. McCullough and A. Pochinsky, Dark Nuclei. Part I. Cosmology and Indirect Detection, Phys. Rev. D 90 (2014) 115013 [arXiv:1406.2276] [INSPIRE].

    Article  ADS  Google Scholar 

  16. B. von Harling and K. Petraki, Bound-state formation for thermal relic dark matter and unitarity, JCAP 12 (2014) 033 [arXiv:1407.7874] [INSPIRE].

    Article  Google Scholar 

  17. S. Biondini and J. Ghiglieri, Freeze-in produced dark matter in the ultra-relativistic regime, JCAP 03 (2021) 075 [arXiv:2012.09083] [INSPIRE].

    Article  MathSciNet  Google Scholar 

  18. J. Bollig and S. Vogl, Impact of bound states on non-thermal dark matter production, arXiv:2112.01491 [INSPIRE].

  19. M. Garny and J. Heisig, Bound-state effects on dark matter coannihilation: Pushing the boundaries of conversion-driven freeze-out, Phys. Rev. D 105 (2022) 055004 [arXiv:2112.01499] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  20. M. Beneke et al., Relic density of wino-like dark matter in the MSSM, JHEP 03 (2016) 119 [arXiv:1601.04718] [INSPIRE].

    Article  ADS  Google Scholar 

  21. S. P. Liew and F. Luo, Effects of QCD bound states on dark matter relic abundance, JHEP 02 (2017) 091 [arXiv:1611.08133] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  22. M. Cirelli, A. Strumia and M. Tamburini, Cosmology and Astrophysics of Minimal Dark Matter, Nucl. Phys. B 787 (2007) 152 [arXiv:0706.4071] [INSPIRE].

    Article  ADS  Google Scholar 

  23. A. Mitridate, M. Redi, J. Smirnov and A. Strumia, Cosmological Implications of Dark Matter Bound States, JCAP 05 (2017) 006 [arXiv:1702.01141] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  24. J. Harz and K. Petraki, Higgs-mediated bound states in dark-matter models, JHEP 04 (2019) 130 [arXiv:1901.10030] [INSPIRE].

    Article  ADS  Google Scholar 

  25. S. Kim and M. Laine, On thermal corrections to near-threshold annihilation, JCAP 01 (2017) 013 [arXiv:1609.00474] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  26. S. Biondini and M. Laine, Re-derived overclosure bound for the inert doublet model, JHEP 08 (2017) 047 [arXiv:1706.01894] [INSPIRE].

    Article  ADS  Google Scholar 

  27. S. Biondini and M. Laine, Thermal dark matter co-annihilating with a strongly interacting scalar, JHEP 04 (2018) 072 [arXiv:1801.05821] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  28. S. Biondini and S. Vogl, Coloured coannihilations: Dark matter phenomenology meets non-relativistic EFTs, JHEP 02 (2019) 016 [arXiv:1811.02581] [INSPIRE].

    Article  ADS  Google Scholar 

  29. T. Binder, L. Covi and K. Mukaida, Dark Matter Sommerfeld-enhanced annihilation and Bound-state decay at finite temperature, Phys. Rev. D 98 (2018) 115023 [arXiv:1808.06472] [INSPIRE].

    Article  ADS  Google Scholar 

  30. S. Biondini and S. Vogl, Scalar dark matter coannihilating with a coloured fermion, JHEP 11 (2019) 147 [arXiv:1907.05766] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  31. T. Binder, K. Mukaida and K. Petraki, Rapid bound-state formation of Dark Matter in the Early Universe, Phys. Rev. Lett. 124 (2020) 161102 [arXiv:1910.11288] [INSPIRE].

    Article  ADS  Google Scholar 

  32. S. Biondini, S. Kim and M. Laine, Non-relativistic susceptibility and a dark matter application, JCAP 10 (2019) 078 [arXiv:1908.07541] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  33. T. Binder, B. Blobel, J. Harz and K. Mukaida, Dark matter bound-state formation at higher order: a non-equilibrium quantum field theory approach, JHEP 09 (2020) 086 [arXiv:2002.07145] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  34. M. B. Wise and Y. Zhang, Stable Bound States of Asymmetric Dark Matter, Phys. Rev. D 90 (2014) 055030 [Erratum ibid. 91 (2015) 039907] [arXiv:1407.4121] [INSPIRE].

  35. K. Petraki, M. Postma and M. Wiechers, Dark-matter bound states from Feynman diagrams, JHEP 06 (2015) 128 [arXiv:1505.00109] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  36. H. An, M. B. Wise and Y. Zhang, Strong CMB Constraint On P-Wave Annihilating Dark Matter, Phys. Lett. B 773 (2017) 121 [arXiv:1606.02305] [INSPIRE].

    Article  ADS  Google Scholar 

  37. S. Biondini, Bound-state effects for dark matter with Higgs-like mediators, JHEP 06 (2018) 104 [arXiv:1805.00353] [INSPIRE].

    Article  ADS  Google Scholar 

  38. R. Oncala and K. Petraki, Dark matter bound states via emission of scalar mediators, JHEP 01 (2019) 070 [arXiv:1808.04854] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  39. R. Oncala and K. Petraki, Dark matter bound state formation via emission of a charged scalar, JHEP 02 (2020) 036 [arXiv:1911.02605] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  40. R. Oncala and K. Petraki, Bound states of WIMP dark matter in Higgs-portal models. Part I. Cross-sections and transition rates, JHEP 06 (2021) 124 [arXiv:2101.08666] [INSPIRE].

  41. R. Oncala and K. Petraki, Bound states of WIMP dark matter in Higgs-portal models. Part II. Thermal decoupling, JHEP 08 (2021) 069 [arXiv:2101.08667] [INSPIRE].

  42. J. Harz and K. Petraki, Higgs Enhancement for the Dark Matter Relic Density, Phys. Rev. D 97 (2018) 075041 [arXiv:1711.03552] [INSPIRE].

    Article  ADS  Google Scholar 

  43. M. Beneke, C. Hellmann and P. Ruiz-Femenia, Non-relativistic pair annihilation of nearly mass degenerate neutralinos and charginos. Part III. Computation of the Sommerfeld enhancements, JHEP 05 (2015) 115 [arXiv:1411.6924] [INSPIRE].

    Article  ADS  Google Scholar 

  44. E. E. Salpeter and H. A. Bethe, A Relativistic equation for bound state problems, Phys. Rev. 84 (1951) 1232 [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  45. D. Kharzeev and H. Satz, Quarkonium interactions in hadronic matter, Phys. Lett. B 334 (1994) 155 [hep-ph/9405414] [INSPIRE].

    Article  ADS  Google Scholar 

  46. L. Grandchamp and R. Rapp, Thermal versus direct J/Ψ production in ultrarelativistic heavy ion collisions, Phys. Lett. B 523 (2001) 60 [hep-ph/0103124] [INSPIRE].

    Article  ADS  Google Scholar 

  47. M. Laine, O. Philipsen, P. Romatschke and M. Tassler, Real-time static potential in hot QCD, JHEP 03 (2007) 054 [hep-ph/0611300] [INSPIRE].

    Article  ADS  Google Scholar 

  48. N. Brambilla, J. Ghiglieri, A. Vairo and P. Petreczky, Static quark-antiquark pairs at finite temperature, Phys. Rev. D 78 (2008) 014017 [arXiv:0804.0993] [INSPIRE].

    Article  ADS  Google Scholar 

  49. M. A. Escobedo and J. Soto, Non-relativistic bound states at finite temperature. Part I. The Hydrogen atom, Phys. Rev. A 78 (2008) 032520 [arXiv:0804.0691] [INSPIRE].

  50. W. E. Caswell and G. P. Lepage, Effective Lagrangians for Bound State Problems in QED, QCD, and Other Field Theories, Phys. Lett. B 167 (1986) 437 [INSPIRE].

    Article  ADS  Google Scholar 

  51. G. T. Bodwin, E. Braaten and G. P. Lepage, Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium, Phys. Rev. D 51 (1995) 1125 [Erratum ibid. 55 (1997) 5853] [hep-ph/9407339] [INSPIRE].

  52. A. Pineda and J. Soto, Effective field theory for ultrasoft momenta in NRQCD and NRQED, Nucl. Phys. B Proc. Suppl. 64 (1998) 428 [hep-ph/9707481] [INSPIRE].

    Article  ADS  Google Scholar 

  53. N. Brambilla, A. Pineda, J. Soto and A. Vairo, Potential NRQCD: An Effective theory for heavy quarkonium, Nucl. Phys. B 566 (2000) 275 [hep-ph/9907240] [INSPIRE].

    Article  ADS  Google Scholar 

  54. N. Brambilla, A. Pineda, J. Soto and A. Vairo, Effective Field Theories for Heavy Quarkonium, Rev. Mod. Phys. 77 (2005) 1423 [hep-ph/0410047] [INSPIRE].

    Article  ADS  Google Scholar 

  55. M. E. Luke and A. V. Manohar, Bound states and power counting in effective field theories, Phys. Rev. D 55 (1997) 4129 [hep-ph/9610534] [INSPIRE].

    Article  ADS  Google Scholar 

  56. M. E. Luke and M. J. Savage, Power counting in dimensionally regularized NRQCD, Phys. Rev. D 57 (1998) 413 [hep-ph/9707313] [INSPIRE].

    Article  ADS  Google Scholar 

  57. S. Biondini and V. Shtabovenko, Non-relativistic and potential non-relativistic effective field theories for scalar mediators, JHEP 08 (2021) 114 [arXiv:2106.06472] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  58. N. Brambilla, M. A. Escobedo, J. Ghiglieri, J. Soto and A. Vairo, Heavy Quarkonium in a weakly-coupled quark-gluon plasma below the melting temperature, JHEP 09 (2010) 038 [arXiv:1007.4156] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  59. N. Brambilla, M. A. Escobedo, J. Ghiglieri and A. Vairo, Thermal width and gluo-dissociation of quarkonium in pNRQCD, JHEP 12 (2011) 116 [arXiv:1109.5826] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  60. C. Frugiuele and C. Peset, Muonic vs. electronic dark forces: a complete EFT treatment for atomic spectroscopy, arXiv:2107.13512 [INSPIRE].

  61. T. Binder, K. Mukaida, B. Scheihing-Hitschfeld and X. Yao, Non-Abelian electric field correlator at NLO for dark matter relic abundance and quarkonium transport, JHEP 01 (2022) 137 [arXiv:2107.03945] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  62. S. Biondini, N. Brambilla, G. Qerimi and A. Vairo, Effective Field Theories for Dark Matter Pairs in the Early Universe: cross sections and widths, in preparation.

  63. M. Pospelov, A. Ritz and M. B. Voloshin, Secluded WIMP Dark Matter, Phys. Lett. B 662 (2008) 53 [arXiv:0711.4866] [INSPIRE].

    Article  ADS  Google Scholar 

  64. M. Kaplinghat, S. Tulin and H.-B. Yu, Direct Detection Portals for Self-interacting Dark Matter, Phys. Rev. D 89 (2014) 035009 [arXiv:1310.7945] [INSPIRE].

    Article  ADS  Google Scholar 

  65. F. Kahlhoefer, K. Schmidt-Hoberg, T. Schwetz and S. Vogl, Implications of unitarity and gauge invariance for simplified dark matter models, JHEP 02 (2016) 016 [arXiv:1510.02110] [INSPIRE].

    Article  ADS  Google Scholar 

  66. M. Duerr, F. Kahlhoefer, K. Schmidt-Hoberg, T. Schwetz and S. Vogl, How to save the WIMP: global analysis of a dark matter model with two s-channel mediators, JHEP 09 (2016) 042 [arXiv:1606.07609] [INSPIRE].

    Article  ADS  Google Scholar 

  67. F. Kahlhoefer, K. Schmidt-Hoberg and S. Wild, Dark matter self-interactions from a general spin-0 mediator, JCAP 08 (2017) 003 [arXiv:1704.02149] [INSPIRE].

    Article  ADS  Google Scholar 

  68. E. Del Nobile, M. Kaplinghat and H.-B. Yu, Direct Detection Signatures of Self-Interacting Dark Matter with a Light Mediator, JCAP 10 (2015) 055 [arXiv:1507.04007] [INSPIRE].

    Article  Google Scholar 

  69. K. Enqvist, S. Nurmi, T. Tenkanen and K. Tuominen, Standard Model with a real singlet scalar and inflation, JCAP 08 (2014) 035 [arXiv:1407.0659] [INSPIRE].

    Article  ADS  Google Scholar 

  70. K. Kainulainen, K. Tuominen and V. Vaskonen, Self-interacting dark matter and cosmology of a light scalar mediator, Phys. Rev. D 93 (2016) 015016 [Erratum ibid. 95 (2017) 079901] [arXiv:1507.04931] [INSPIRE].

  71. T. Hahn, Generating Feynman diagrams and amplitudes with FeynArts 3, Comput. Phys. Commun. 140 (2001) 418 [hep-ph/0012260] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  72. A. Alloul, N. D. Christensen, C. Degrande, C. Duhr and B. Fuks, FeynRules 2.0 — A complete toolbox for tree-level phenomenology, Comput. Phys. Commun. 185 (2014) 2250 [arXiv:1310.1921] [INSPIRE].

    Article  ADS  Google Scholar 

  73. R. Mertig, M. Böhm and A. Denner, FEYN CALC: Computer algebraic calculation of Feynman amplitudes, Comput. Phys. Commun. 64 (1991) 345 [INSPIRE].

  74. V. Shtabovenko, R. Mertig and F. Orellana, New Developments in FeynCalc 9.0, Comput. Phys. Commun. 207 (2016) 432 [arXiv:1601.01167] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  75. V. Shtabovenko, R. Mertig and F. Orellana, FeynCalc 9.3: New features and improvements, Comput. Phys. Commun. 256 (2020) 107478 [arXiv:2001.04407] [INSPIRE].

    Article  MathSciNet  Google Scholar 

  76. N. Brambilla, H. S. Chung, V. Shtabovenko and A. Vairo, FeynOnium: Using FeynCalc for automatic calculations in Nonrelativistic Effective Field Theories, JHEP 11 (2020) 130 [arXiv:2006.15451] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  77. P. Nogueira, Automatic Feynman graph generation, J. Comput. Phys. 105 (1993) 279 [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  78. V. Shtabovenko, FeynHelpers: Connecting FeynCalc to FIRE and Package-X, Comput. Phys. Commun. 218 (2017) 48 [arXiv:1611.06793] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  79. M. A. Escobedo and J. Soto, Non-relativistic bound states at finite temperature. Part II. The muonic hydrogen, Phys. Rev. A 82 (2010) 042506 [arXiv:1008.0254] [INSPIRE].

    Article  ADS  Google Scholar 

  80. P. M. Platzman, Meson theoretical origins of the non-static two nucleon potential, Ph.D. Thesis, Caltech, Pasadena CA U.S.A. (1960) [https://doi.org/10.7907/FGWX-XQ69].

  81. M. Beneke, C. Hellmann and P. Ruiz-Femenia, Non-relativistic pair annihilation of nearly mass degenerate neutralinos and charginos. Part I. General framework and S-wave annihilation, JHEP 03 (2013) 148 [Erratum JHEP 10 (2013) 224] [arXiv:1210.7928] [INSPIRE].

  82. E. Braaten, Introduction to the NRQCD factorization approach to heavy quarkonium, in proceedings of the 3rd International Workshop on Particle Physics Phenomenology, Taipei, Taiwan, 14–17 November 1996, hep-ph/9702225 [INSPIRE].

  83. A. Pineda and J. Soto, Potential NRQED: The Positronium case, Phys. Rev. D 59 (1999) 016005 [hep-ph/9805424] [INSPIRE].

  84. G. S. Adkins, Three-dimensional fourier transforms, integrals of spherical bessel functions, and novel delta function identities, arXiv:1302.1830.

  85. R. Daido and F. Takahashi, The sign of the dipole-dipole potential by axion exchange, Phys. Lett. B 772 (2017) 127 [arXiv:1704.00155] [INSPIRE].

    Article  ADS  Google Scholar 

  86. M. L. Bellac, Thermal Field Theory, in Cambridge Monographs on Mathematical Physics, Cambridge University Press, Cambridge U.K. (2011).

  87. J. I. Kapusta, Finite Temperature Field Theory, in Cambridge Monographs on Mathematical Physics, Cambridge University Press, Cambridge U.K. (1989). [88] S. Biondini, Thermal scalar propagators at NLO, in preparation.

  88. K. Petraki, M. Postma and J. de Vries, Radiative bound-state-formation cross-sections for dark matter interacting via a Yukawa potential, JHEP 04 (2017) 077 [arXiv:1611.01394] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  89. K. Griest and M. Kamionkowski, Unitarity Limits on the Mass and Radius of Dark Matter Particles, Phys. Rev. Lett. 64 (1990) 615 [INSPIRE].

    Article  ADS  Google Scholar 

  90. I. Baldes and K. Petraki, Asymmetric thermal-relic dark matter: Sommerfeld-enhanced freeze-out, annihilation signals and unitarity bounds, JCAP 09 (2017) 028 [arXiv:1703.00478] [INSPIRE].

    ADS  Google Scholar 

  91. N. Brambilla, D. Eiras, A. Pineda, J. Soto and A. Vairo, Inclusive decays of heavy quarkonium to light particles, Phys. Rev. D 67 (2003) 034018 [hep-ph/0208019] [INSPIRE].

    Article  ADS  Google Scholar 

  92. H. S. Chung, \( \overline{MS} \) renormalization of S-wave quarkonium wavefunctions at the origin, JHEP 12 (2020) 065 [arXiv:2007.01737] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  93. J. Hisano, S. Matsumoto, M. M. Nojiri and O. Saito, Non-perturbative effect on dark matter annihilation and gamma ray signature from galactic center, Phys. Rev. D 71 (2005) 063528 [hep-ph/0412403] [INSPIRE].

    Article  ADS  Google Scholar 

  94. S. Cassel, Sommerfeld factor for arbitrary partial wave processes, J. Phys. G 37 (2010) 105009 [arXiv:0903.5307] [INSPIRE].

    Article  ADS  Google Scholar 

  95. R. Iengo, Sommerfeld enhancement: General results from field theory diagrams, JHEP 05 (2009) 024 [arXiv:0902.0688] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  96. N. Brambilla, M. A. Escobedo, J. Soto and A. Vairo, Quarkonium suppression in heavy-ion collisions: an open quantum system approach, Phys. Rev. D 96 (2017) 034021 [arXiv:1612.07248] [INSPIRE].

    Article  ADS  Google Scholar 

  97. N. Brambilla, M. A. Escobedo, J. Soto and A. Vairo, Heavy quarkonium suppression in a fireball, Phys. Rev. D 97 (2018) 074009 [arXiv:1711.04515] [INSPIRE].

    Article  ADS  Google Scholar 

  98. X. Yao and T. Mehen, Quarkonium in-medium transport equation derived from first principles, Phys. Rev. D 99 (2019) 096028 [arXiv:1811.07027] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  99. S. Biondini, N. Brambilla, G. Qerimi and A. Vairo, Effective Field Theories for Dark Matter Pairs in the Early Universe: evolution equations, in preparation.

  100. J. Ellis, F. Luo and K. A. Olive, Gluino Coannihilation Revisited, JHEP 09 (2015) 127 [arXiv:1503.07142] [INSPIRE].

    Article  ADS  Google Scholar 

  101. T. Binder, A. Filimonova, K. Petraki and G. White, Saha equilibrium for metastable bound states and dark matter freeze-out, arXiv:2112.00042 [INSPIRE].

  102. J. L. Feng, M. Kaplinghat and H.-B. Yu, Sommerfeld Enhancements for Thermal Relic Dark Matter, Phys. Rev. D 82 (2010) 083525 [arXiv:1005.4678] [INSPIRE].

    Article  ADS  Google Scholar 

  103. M. Laine and M. Meyer, Standard Model thermodynamics across the electroweak crossover, JCAP 07 (2015) 035 [arXiv:1503.04935] [INSPIRE].

    Article  ADS  Google Scholar 

  104. Planck collaboration, Planck 2018 results. Part VI. Cosmological parameters, Astron. Astrophys. 641 (2020) A6 [Erratum ibid. 652 (2021) C4] [arXiv:1807.06209] [INSPIRE].

  105. S. Kim and M. Laine, Studies of a thermally averaged p-wave Sommerfeld factor, Phys. Lett. B 795 (2019) 469 [arXiv:1904.07882] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  106. M. H. Thoma, Damping of a Yukawa fermion at finite temperature, Z. Phys. C 66 (1995) 491 [hep-ph/9406242] [INSPIRE].

    Article  ADS  Google Scholar 

  107. E. Merzbacher, Quantum Mechanics, Wiley (1998).

  108. A. Messiah, Quantum Mechanics, in Dover Books on Physics, Dover Publications (1999).

  109. A. J. I. S. Gradshteyn, I. M. Ryzhik and D. Zwillinger, Table of Integrals, Series, and Products, Academic Press (2007).

Download references

Author information

Authors and Affiliations

  1. Department of Physics, University of Basel, Klingelbergstr. 82, CH-4056, Basel, Switzerland

    Simone Biondini

  2. Institut für Theoretische Teilchenphysik (TTP), Karlsruhe Institute of Technology (KIT), Wolfgang-Gaede-Straße 1, 76131, Karlsruhe, Germany

    Vladyslav Shtabovenko

Authors
  1. Simone Biondini
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Vladyslav Shtabovenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Simone Biondini.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

ArXiv ePrint: 2112.10145

Rights and permissions

Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Biondini, S., Shtabovenko, V. Bound-state formation, dissociation and decays of darkonium with potential non-relativistic Yukawa theory for scalar and pseudoscalar mediators. J. High Energ. Phys. 2022, 172 (2022). https://doi.org/10.1007/JHEP03(2022)172

Download citation

  • Received: 22 December 2021

  • Revised: 14 February 2022

  • Accepted: 02 March 2022

  • Published: 25 March 2022

  • DOI: https://doi.org/10.1007/JHEP03(2022)172

Share this article

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

Keywords

  • Effective Field Theories
  • Beyond Standard Model
  • Cosmology of Theories beyond the SM
  • Thermal Field Theory
Use our pre-submission checklist

Avoid common mistakes on your manuscript.

Advertisement

Search

Navigation

  • Find a journal
  • Publish with us
  • Track your research

Discover content

  • Journals A-Z
  • Books A-Z

Publish with us

  • Journal finder
  • Publish your research
  • Open access publishing

Products and services

  • Our products
  • Librarians
  • Societies
  • Partners and advertisers

Our imprints

  • Springer
  • Nature Portfolio
  • BMC
  • Palgrave Macmillan
  • Apress
  • Your US state privacy rights
  • Accessibility statement
  • Terms and conditions
  • Privacy policy
  • Help and support
  • Cancel contracts here

Not affiliated

Springer Nature

© 2024 Springer Nature