Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
  • Open Access

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 – Published 5 October 2021
PDFHTMLExport Citation
Abstract
Authors
See Also
Article Text
  • INTRODUCTION
  • THE INPUTS AND THE PARAMETERS TO STUDY…
  • XX→hbb¯ AT TREE LEVEL
  • THE bb¯ FINAL STATE IN THE HIGGS…
  • XX→hWW⋆ AT TREE LEVEL
  • XX→hWf′f¯ AT ONE LOOP
  • APPLICATION TO THE RELIC DENSITY
  • CONCLUSIONS
  • ACKNOWLEDGMENTS
    • References

    Abstract

    One-loop electroweak corrections to the annihilation cross sections of dark matter in the Higgs resonance region of the inert doublet model are investigated. The procedure of how to implement the width of the Higgs in order to regularize the amplitude both at tree level and at one loop together with the renormalization of a key parameter of the model, are thoroughly scrutinized. The discussions go beyond the application to the relic density calculation and also beyond the inert doublet model so that addressing these technical issues can help in a wider context. We look in particular at the dominant channels with the bb¯ final state and the more involved three-body final state, Wff¯′, where both a resonance and an antiresonance, due to interference effects, are present. We also discuss how to integrate over such configurations when converting the cross sections into a calculation of the relic density.

    • Figure
    • Figure
    • Figure
    • Figure
    • Figure
    • Figure
    • Figure
    1 More
    • Received 20 February 2021
    • Accepted 13 August 2021

    DOI:https://doi.org/10.1103/PhysRevD.104.075005

    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

    Physics Subject Headings (PhySH)

    1. Research Areas
    Electroweak radiative correctionsExtensions of Higgs sectorParticle dark matterWeakly interacting massive particles
    Particles & Fields

    Authors & Affiliations

    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@dlut.edu.cn

    See Also

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

    Shankha Banerjee, Fawzi Boudjema, Nabarun Chakrabarty, and Hao Sun
    Phys. Rev. D 104, 075002 (2021)

    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)

    Article Text

    Click to Expand

    References

    Click to Expand
    Issue

    Vol. 104, Iss. 7 — 1 October 2021

    Reuse & Permissions
    Author publication services for translation and copyediting assistance advertisement

    Authorization Required

    Log In
    Other Options
    ×

    Images

    • Figure 1
      Figure 1

      A single diagram, Higgs mediated, contributes to XX→bb¯ at tree level.

      Reuse & Permissions
    • Figure 2
      Figure 2

      The velocity dependence of the ratio of the full tree-level computation relative to the fixed width Breit-Wigner calculation based on Eq. (3.1) for points P57 and P59. The horizontal line, exact agreement, meets the curves at exactly the resonance points.

      Reuse & Permissions
    • Figure 3
      Figure 3

      The relative velocity dependence of the tree-level XX→bb¯ cross section times v for points P57 and P59 in units of 10−26  cm3 s−1 (note the log scale). We also show the weighted cross sections with the velocity distribution [1] with the freeze-out parameter xF=25.

      Reuse & Permissions
    • Figure 4
      Figure 4

      A selection of one-loop electroweak correction diagrams contributing to XX→bb¯. The first three diagrams of the first row are genuine boxes which are nonresonant. The last two diagrams in the first row show examples where λ2, rescattering in the dark sector, contributions can be induced at one loop. The second row includes vertex corrections and self-energy contributions to the SM Higgs that can become resonant.

      Reuse & Permissions
    • Figure 5
      Figure 5

      The relative velocity dependence of the one-loop XX→bb¯ cross section times v for points P57 (left panels) and P59 (right panels) in units of 10−26  cm3 s−1 (note the log scale). The lower panels help better see the effect of the loop corrections by giving the relative corrections (with respect to the tree level) over the full velocity range as well as an enlargement around the peak. The λ2 dependence of the one-loop results is given. Also shown is the result of using the full electroweak correction to Γ(h→bb¯) [the improved cross section given by Eq. (4.13)]. We also give the result of using, at tree level, α(MZ2) instead of α.

      Reuse & Permissions
    • Figure 6
      Figure 6

      Tree-level diagrams contributing to XX→Wlνl. Apart from the Higgs exchange contribution with h⋆→Wlνl there are other non-Higgs resonant contributions. There are other diagrams with h→ll⋆→lWνl that gives effects proportional to the lepton mass, which we do not show here but which are included in our full calculation.

      Reuse & Permissions
    • Figure 7
      Figure 7

      As in Fig. 3 but for XX→Wτντ. Note the behavior of the peak structure that is a characteristic of an interference of a smooth contribution with a resonance. The panel on the right represents the convolution of the cross sections with the velocity distribution with the same parameters as in Fig. 3.

      Reuse & Permissions
    • Figure 8
      Figure 8

      As in Fig. 5 but for the XX→Wlνl channel.

      Reuse & Permissions
    ×

    Sign up to receive regular email alerts from 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.

    ×

    Log In

    Cancel
    ×

    Search

    Article Lookup

    Paste a citation or DOI
    Enter a citation
    ×