Potential for definitive discovery of a 70 GeV dark matter WIMP with only second-order gauge couplings

Assuming a dark matter fraction $Omega_{DM} = 0.27$ and a reduced Hubble constant $h = 0.73$, we obtain a value of 70 GeV/c$^2$ for the mass of the dark matter WIMP we have previously proposed~[1-4]. We also obtain a value for the annihilation cross section given by $langle sigma_{ann} v angle = 1.19 imes 10^{-26} $ cm$^3$/s in the present universe, consistent with the current limits for dwarf spheroidal galaxies. Both the mass and cross-section are consistent with analyses of the Galactic-center gamma rays observed by Fermi-LAT and the antiprotons observed by AMS-02 if these data are interpreted as resulting  from dark matter annihilation. The spin-independent cross-section for direct detection in Xe-based experiments is estimated to be slightly above $10^{-48}$ cm$^2$, presumably just within reach of the LZ and XENONnT experiments with $gtrsim 1000$ days of data taking. The cross-section for production in high-energy proton collisions via vector boson fusion is estimated to be $sim 1$ femtobarn, possibly within reach of the high-luminosity LHC, with $ge 140$ GeV of missing energy accompanied by two jets.

[1] Reagan Thornberry, Maxwell Throm, John Killough, Dylan Blend, Michael Erickson, Brian Sun, Brett Bays, Gabriel Frohaug, and Roland E. Allen “, EPL [European Physics Letters] 134, 49001 (2021), arXiv:2104.11715 [hep-ph].

[2] Caden LaFontaine, Bailey Tallman, Spencer Ellis, Trevor Croteau, Brandon Torres, Sabrina Hernandez, Diego Cristancho Guerrero, Jessica Jaksik, Drue Lubanski and Roland E. Allen, Universe 7, 270 (2021), arXiv:2107.14390 [hep-ph].

[3] Bailey Tallman, Alexandra Boone, Caden LaFontaine, Trevor Croteau, Quinn Ballard, Sabrina Hernandez, Spencer Ellis, Adhithya Vijayakumar, Fiona Lopez, Samuel Apata, Jehu Martinez, and Roland Allen, Proceedings of Science (in press) [proceedings of the 41st International Conference on High Energy Physics, ICHEP 2022], arXiv:2210.05380 [hep-ph].

[4] Bailey Tallman, Alexandra Boone, Adhithya Vijayakumar, Fiona Lopez, Samuel Apata, Jehu Martinez, and Roland Allen, in press, arXiv:2210.15019 [hep-ph].