Abstract
An interesting class of models posits that the dark matter is a Majorana fermion which interacts with a quark together with a colored scalar mediator. Such a theory can be tested in direct detection experiments, through dark matter scattering with heavy nuclei, and at the LHC, via jets and missing energy signatures. Motivated by the fact that such theories have spin-independent interactions that vanish at tree level, we examine them at one loop (along with RGE improvement to resum large logs), and find that despite its occurrence at a higher order of perturbation theory, the spin-independent scattering searches typically impose the strongest constraints on the model parameter space. We further analyze the corresponding LHC constraints at one loop and find that it is important to take them into account when interpreting the implications of searches for jets plus missing momentum on this class of models, thus providing the corresponding complementary information for this class of models.
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J. Abdallah et al., Simplified models for dark matter searches at the LHC, Phys. Dark Univ. 9-10 (2015) 8 [arXiv:1506.03116] [INSPIRE].
F.J. Petriello, S. Quackenbush and K.M. Zurek, The invisible Z′ at the CERN LHC, Phys. Rev. D 77 (2008) 115020 [arXiv:0803.4005] [INSPIRE].
Y. Bai, P.J. Fox and R. Harnik, The Tevatron at the frontier of dark matter direct detection, JHEP 12 (2010) 048 [arXiv:1005.3797] [INSPIRE].
G. Busoni et al., Recommendations on presenting LHC searches for missing transverse energy signals using simplified s-channel models of dark matter, arXiv:1603.04156 [INSPIRE].
LHC Dark Matter Working Group collaboration, LHC dark matter working group: next-generation spin-0 dark matter models, arXiv:1810.09420 [INSPIRE].
H. Dreiner, D. Schmeier and J. Tattersall, Contact interactions probe effective dark matter models at the LHC, EPL 102 (2013) 51001 [arXiv:1303.3348] [INSPIRE].
A. Albert et al., Recommendations of the LHC dark matter working group: comparing LHC searches for heavy mediators of dark matter production in visible and invisible decay channels, arXiv:1703.05703 [INSPIRE].
S. Chang, R. Edezhath, J. Hutchinson and M. Luty, Effective WIMPs, Phys. Rev. D 89 (2014) 015011 [arXiv:1307.8120] [INSPIRE].
H. An, L.-T. Wang and H. Zhang, Dark matter with t-channel mediator: a simple step beyond contact interaction, Phys. Rev. D 89 (2014) 115014 [arXiv:1308.0592] [INSPIRE].
Y. Bai and J. Berger, Fermion portal dark matter, JHEP 11 (2013) 171 [arXiv:1308.0612] [INSPIRE].
A. DiFranzo, K.I. Nagao, A. Rajaraman and T.M.P. Tait, Simplified models for dark matter interacting with quarks, JHEP 11 (2013) 014 [Erratum ibid. 01 (2014) 162] [arXiv:1308.2679] [INSPIRE].
N.F. Bell, Y. Cai, J.B. Dent, R.K. Leane and T.J. Weiler, Dark matter at the LHC: effective field theories and gauge invariance, Phys. Rev. D 92 (2015) 053008 [arXiv:1503.07874] [INSPIRE].
A. Ibarra and S. Wild, Dirac dark matter with a charged mediator: a comprehensive one-loop analysis of the direct detection phenomenology, JCAP 05 (2015) 047 [arXiv:1503.03382] [INSPIRE].
M. Garny, A. Ibarra and S. Vogl, Signatures of Majorana dark matter with t-channel mediators, Int. J. Mod. Phys. D 24 (2015) 1530019 [arXiv:1503.01500] [INSPIRE].
P. Ko, A. Natale, M. Park and H. Yokoya, Simplified DM models with the full SM gauge symmetry: the case of t-channel colored scalar mediators, JHEP 01 (2017) 086 [arXiv:1605.07058] [INSPIRE].
R.M. Godbole, G. Mendiratta and T.M.P. Tait, A simplified model for dark matter interacting primarily with gluons, JHEP 08 (2015) 064 [arXiv:1506.01408] [INSPIRE].
Y. Bai and J. Osborne, Chromo-Rayleigh interactions of dark matter, JHEP 11 (2015) 036 [arXiv:1506.07110] [INSPIRE].
R.M. Godbole, G. Mendiratta, A. Shivaji and T.M.P. Tait, Mono-jet signatures of gluphilic scalar dark matter, Phys. Lett. B 772 (2017) 93 [arXiv:1605.04756] [INSPIRE].
G. D’Ambrosio, G.F. Giudice, G. Isidori and A. Strumia, Minimal flavor violation: an effective field theory approach, Nucl. Phys. B 645 (2002) 155 [hep-ph/0207036] [INSPIRE].
A. Denner, H. Eck, O. Hahn and J. Kublbeck, Compact Feynman rules for Majorana fermions, Phys. Lett. B 291 (1992) 278 [INSPIRE].
A. Denner, H. Eck, O. Hahn and J. Kublbeck, Feynman rules for fermion number violating interactions, Nucl. Phys. B 387 (1992) 467 [INSPIRE].
J. Hisano, K. Ishiwata and N. Nagata, Gluon contribution to the dark matter direct detection, Phys. Rev. D 82 (2010) 115007 [arXiv:1007.2601] [INSPIRE].
R.J. Hill and M.P. Solon, Standard Model anatomy of WIMP dark matter direct detection I: weak-scale matching, Phys. Rev. D 91 (2015) 043504 [arXiv:1401.3339] [INSPIRE].
G. Jungman, M. Kamionkowski and K. Griest, Supersymmetric dark matter, Phys. Rept. 267 (1996) 195 [hep-ph/9506380] [INSPIRE].
F. D’Eramo and M. Procura, Connecting dark matter UV complete models to direct detection rates via effective field theory, JHEP 04 (2015) 054 [arXiv:1411.3342] [INSPIRE].
R.J. Hill and M.P. Solon, Standard Model anatomy of WIMP dark matter direct detection II: QCD analysis and hadronic matrix elements, Phys. Rev. D 91 (2015) 043505 [arXiv:1409.8290] [INSPIRE].
M. Freytsis and Z. Ligeti, On dark matter models with uniquely spin-dependent detection possibilities, Phys. Rev. D 83 (2011) 115009 [arXiv:1012.5317] [INSPIRE].
PICO collaboration, Dark matter search results from the PICO-60 C 3 F 8 bubble chamber, Phys. Rev. Lett. 118 (2017) 251301 [arXiv:1702.07666] [INSPIRE].
SuperCDMS collaboration, Low-mass dark matter search with CDMSlite, Phys. Rev. D 97 (2018) 022002 [arXiv:1707.01632] [INSPIRE].
LUX collaboration, Limits on spin-dependent WIMP-nucleon cross section obtained from the complete LUX exposure, Phys. Rev. Lett. 118 (2017) 251302 [arXiv:1705.03380] [INSPIRE].
XENON collaboration, First dark matter search results from the XENON1T experiment, Phys. Rev. Lett. 119 (2017) 181301 [arXiv:1705.06655] [INSPIRE].
J. Alwall et al., The automated computation of tree-level and next-to-leading order differential cross sections and their matching to parton shower simulations, JHEP 07 (2014) 079 [arXiv:1405.0301] [INSPIRE].
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].
G. Ossola, C.G. Papadopoulos and R. Pittau, Reducing full one-loop amplitudes to scalar integrals at the integrand level, Nucl. Phys. B 763 (2007) 147 [hep-ph/0609007] [INSPIRE].
C. Degrande, Automatic evaluation of UV and R 2 terms for beyond the Standard Model Lagrangians: a proof-of-principle, Comput. Phys. Commun. 197 (2015) 239 [arXiv:1406.3030] [INSPIRE].
S. Dulat et al., New parton distribution functions from a global analysis of quantum chromodynamics, Phys. Rev. D 93 (2016) 033006 [arXiv:1506.07443] [INSPIRE].
ATLAS collaboration, Search for dark matter and other new phenomena in events with an energetic jet and large missing transverse momentum using the ATLAS detector, JHEP 01 (2018) 126 [arXiv:1711.03301] [INSPIRE].
CMS collaboration, Search for supersymmetry in multijet events with missing transverse momentum in proton-proton collisions at 13 TeV, Phys. Rev. D 96 (2017) 032003 [arXiv:1704.07781] [INSPIRE].
B. Dumont et al., Toward a public analysis database for LHC new physics searches using MadAnalysis 5, Eur. Phys. J. C 75 (2015) 56 [arXiv:1407.3278] [INSPIRE].
D. Sengupta, The MadAnalysis5 implementation of the ATLAS in monojet+missing energy, (2018) [INSPIRE].
M. Cacciari, G.P. Salam and G. Soyez, FastJet user manual, Eur. Phys. J. C 72 (2012) 1896 [arXiv:1111.6097] [INSPIRE].
DELPHES 3 collaboration, DELPHES 3, a modular framework for fast simulation of a generic collider experiment, JHEP 02 (2014) 057 [arXiv:1307.6346] [INSPIRE].
T. Sjöstrand et al., An introduction to PYTHIA 8.2, Comput. Phys. Commun. 191 (2015) 159 [arXiv:1410.3012] [INSPIRE].
S. Höche et al., Matching parton showers and matrix elements, in HERA and the LHC. A workshop on the implications of HERA for LHC physics: proceedings part A, CERN-2005-014, (2005), pg. 288 [hep-ph/0602031] [INSPIRE].
CMS collaboration, Search for supersymmetry in multijet events with missing transverse momentum in proton-proton collisions at 13 TeV, CMS-SUS-16-033, CERN, Geneva, Switzerland (2017).
G. Bélanger, F. Boudjema, A. Goudelis, A. Pukhov and B. Zaldivar, MicrOMEGAs 5.0: freeze-in, Comput. Phys. Commun. 231 (2018) 173 [arXiv:1801.03509] [INSPIRE].
SDM website, http://hep.pa.msu.edu/sdm/.
T. Hahn, Generating Feynman diagrams and amplitudes with FeynArts 3, Comput. Phys. Commun. 140 (2001) 418 [hep-ph/0012260] [INSPIRE].
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].
H.H. Patel, Package-X: a Mathematica package for the analytic calculation of one-loop integrals, Comput. Phys. Commun. 197 (2015) 276 [arXiv:1503.01469] [INSPIRE].
V.A. Novikov, M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, Calculations in external fields in quantum chromodynamics. Technical review, Fortsch. Phys. 32 (1984) 585 [INSPIRE].
V. Shtabovenko, R. Mertig and F. Orellana, New developments in FeynCalc 9.0, Comput. Phys. Commun. 207 (2016) 432 [arXiv:1601.01167] [INSPIRE].
Particle Data Group collaboration, Review of particle physics, Phys. Rev. D 98 (2018) 030001 [INSPIRE].
Particle Data Group collaboration, Review of particle physics, J. Phys. G 37 (2010) 075021 [INSPIRE].
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Mohan, K.A., Sengupta, D., Tait, T.M.P. et al. Direct detection and LHC constraints on a t-channel simplified model of Majorana dark matter at one loop. J. High Energ. Phys. 2019, 115 (2019). https://doi.org/10.1007/JHEP05(2019)115
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DOI: https://doi.org/10.1007/JHEP05(2019)115