Advertisement

Journal of High Energy Physics

, 2019:138 | Cite as

One-loop contribution to dark-matter-nucleon scattering in the pseudo-scalar dark matter model

  • Duarte Azevedo
  • Mateusz Duch
  • Bohdan Grzadkowski
  • Da Huang
  • Michal Iglicki
  • Rui SantosEmail author
Open Access
Regular Article - Theoretical Physics
  • 24 Downloads

Abstract

Recent dark matter (DM) direct searches place very stringent constraints on the possible DM candidates proposed in extensions of the Standard Model. There are however models where these constraints are avoided. One of the simplest and most striking examples comes from a straightforward Higgs-portal pseudo-scalar DM model featured with a softly broken U(1) symmetry. In this model the tree-level DM-nucleon scattering cross section vanishes in the limit of zero momentum transfer. It has also been argued that the leading-order DM-nucleon cross section appears at the one-loop level. In this work we have calculated the exact cross section in the zero momentum transfer at the leading order i.e., at the one-loop level of perturbative expansion. We have concluded that, in agreement with expectations, the amplitude for the scattering process is UV finite and approaches zero in the limit of vanishing DM masses. Moreover, we made clear that the finite DM velocity correction at tree level is subdominant with respect to the one-loop contribution. Based on the analytic formulae, our numerical studies show that, for a typical choice of model parameters, the DM nuclear recoiling cross section is well below \( \mathcal{O} \)(10−50 cm2), which indicates that the DM direct detection signal in this model naturally avoids present strong experimental limits on the cross section.

Keywords

Beyond Standard Model Higgs Physics 

Notes

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.

References

  1. [1]
    Particle Data Group, Review of particle physics, Phys. Rev. D 98 (2018) 030001.Google Scholar
  2. [2]
    L. Bergstrom, Dark matter evidence, particle physics candidates and detection methods, Annalen Phys. 524 (2012) 479 [arXiv:1205.4882] [INSPIRE].ADSCrossRefGoogle Scholar
  3. [3]
    G. Bertone, D. Hooper and J. Silk, Particle dark matter: evidence, candidates and constraints, Phys. Rept. 405 (2005) 279 [hep-ph/0404175] [INSPIRE].
  4. [4]
    J.L. Feng, Dark matter candidates from particle physics and methods of detection, Ann. Rev. Astron. Astrophys. 48 (2010) 495 [arXiv:1003.0904] [INSPIRE].ADSCrossRefGoogle Scholar
  5. [5]
    XENON collaboration, Dark matter search results from a one ton-year exposure of XENON1T, Phys. Rev. Lett. 121 (2018) 111302 [arXiv:1805.12562] [INSPIRE].
  6. [6]
    J. McDonald, Gauge singlet scalars as cold dark matter, Phys. Rev. D 50 (1994) 3637 [hep-ph/0702143] [INSPIRE].
  7. [7]
    V. Barger et al., Complex singlet extension of the standard model, Phys. Rev. D 79 (2009) 015018 [arXiv:0811.0393] [INSPIRE].ADSGoogle Scholar
  8. [8]
    V. Barger, M. McCaskey and G. Shaughnessy, Complex scalar dark matter vis-à-vis CoGeNT, DAMA/LIBRA and XENON100, Phys. Rev. D 82 (2010) 035019 [arXiv:1005.3328] [INSPIRE].ADSGoogle Scholar
  9. [9]
    M. Gonderinger, H. Lim and M.J. Ramsey-Musolf, Complex scalar singlet dark matter: vacuum stability and phenomenology, Phys. Rev. D 86 (2012) 043511 [arXiv:1202.1316] [INSPIRE].ADSGoogle Scholar
  10. [10]
    C. Gross, O. Lebedev and T. Toma, Cancellation mechanism for dark-matter-nucleon interaction, Phys. Rev. Lett. 119 (2017) 191801 [arXiv:1708.02253] [INSPIRE].ADSCrossRefGoogle Scholar
  11. [11]
    W. Cheng and L. Bian, From inflation to cosmological electroweak phase transition with a complex scalar singlet, Phys. Rev. D 98 (2018) 023524 [arXiv:1801.00662] [INSPIRE].ADSGoogle Scholar
  12. [12]
    D. Azevedo et al., Testing scalar versus vector dark matter, arXiv:1808.01598 [INSPIRE].
  13. [13]
    XENON collaboration, Physics reach of the XENON1T dark matter experiment, JCAP 04 (2016) 027 [arXiv:1512.07501] [INSPIRE].
  14. [14]
    B.J. Mount et al., LUX-ZEPLIN (LZ) technical design report, arXiv:1703.09144 [INSPIRE].
  15. [15]
    DARWIN collaboration, DARWIN: towards the ultimate dark matter detector, JCAP 11 (2016) 017 [arXiv:1606.07001] [INSPIRE].
  16. [16]
    L. Baudis, Direct dark matter detection: the next decade, Phys. Dark Univ. 1 (2012) 94 [arXiv:1211.7222] [INSPIRE].CrossRefGoogle Scholar
  17. [17]
    T. Han, H. Liu, S. Mukhopadhyay and X. Wang, Dark matter blind spots at one-loop, arXiv:1810.04679 [INSPIRE].
  18. [18]
    ATLAS, CMS collaboration, Measurements of the Higgs boson production and decay rates and constraints on its couplings from a combined ATLAS and CMS analysis of the LHC pp collision data at \( \sqrt{s}=7 \) and 8 TeV, JHEP 08 (2016) 045 [arXiv:1606.02266] [INSPIRE].
  19. [19]
    J.M. Cline, K. Kainulainen, P. Scott and C. Weniger, Update on scalar singlet dark matter, Phys. Rev. D 88 (2013) 055025 [Erratum ibid. D 92 (2015) 039906] [arXiv:1306.4710] [INSPIRE].
  20. [20]
    J.M. Alarcon, J. Martin Camalich and J.A. Oller, The chiral representation of the πN scattering amplitude and the pion-nucleon sigma term, Phys. Rev. D 85 (2012) 051503 [arXiv:1110.3797] [INSPIRE].ADSGoogle Scholar
  21. [21]
    X.-L. Ren, X.-Z. Ling and L.-S. Geng, Pion–nucleon sigma term revisited in covariant baryon chiral perturbation theory, Phys. Lett. B 783 (2018) 7 [arXiv:1710.07164] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar
  22. [22]
    K. Ishiwata and T. Toma, Probing pseudo Nambu-Goldstone boson dark matter at loop level, JHEP 12 (2018) 089 [arXiv:1810.08139] [INSPIRE].CrossRefGoogle Scholar
  23. [23]
    A. Sirlin, Radiative corrections in the SU(2) − L × U(1) theory: a simple renormalization framework, Phys. Rev. D 22 (1980) 971 [INSPIRE].ADSGoogle Scholar
  24. [24]
    G. Passarino and M.J.G. Veltman, One loop corrections for e + e annihilation into μ + μ in the Weinberg model, Nucl. Phys. B 160 (1979) 151 [INSPIRE].ADSCrossRefGoogle Scholar
  25. [25]
    A. Denner, Techniques for calculation of electroweak radiative corrections at the one loop level and results for W physics at LEP-200, Fortsch. Phys. 41 (1993) 307 [arXiv:0709.1075] [INSPIRE].ADSGoogle Scholar
  26. [26]
    T. Hahn and M. Pérez-Victoria, Automatized one loop calculations in four-dimensions and D-dimensions, Comput. Phys. Commun. 118 (1999) 153 [hep-ph/9807565] [INSPIRE].

Copyright information

© The Author(s) 2019

Authors and Affiliations

  1. 1.Faculty of PhysicsUniversity of WarsawWarsawPoland
  2. 2.Centro de Física Teórica e Computacional, Faculdade de CiênciasUniversidade de LisboaLisboaPortugal

Personalised recommendations