Abstract
We consider the positivity bounds for WIMP scalar dark matter with effective Higgs-portal couplings up to dimension-8 operators. Taking the superposed states for Standard Model Higgs and scalar dark matter, we show that the part of the parameter space for the effective couplings, otherwise unconstrained by phenomenological bounds, is ruled out by the positivity bounds on the dimension-8 derivative operators. We find that dark matter relic density, direct and indirect detection and LHC constraints are complementary to the positivity bounds in constraining the effective Higgs-portal couplings. In the effective theory obtained from massive graviton or radion, there appears a correlation between dimension-8 operators and other effective Higgs-portal couplings for which the strong constraint from direct detection can be evaded. Nailing down the parameter space mainly by relic density, direct detection and positivity bounds, we find that there are observable cosmic ray signals coming from the dark matter annihilations into a pair of Higgs bosons, WW or ZZ.
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A. Adams et al., Causality, analyticity and an IR obstruction to UV completion, JHEP 10 (2006) 014 [hep-th/0602178] [INSPIRE].
T.N. Pham and T.N. Truong, Evaluation of the Derivative Quartic Terms of the Meson Chiral Lagrangian From Forward Dispersion Relation, Phys. Rev. D 31 (1985) 3027 [INSPIRE].
B. Ananthanarayan, D. Toublan and G. Wanders, Consistency of the chiral pion pion scattering amplitudes with axiomatic constraints, Phys. Rev. D 51 (1995) 1093 [hep-ph/9410302] [INSPIRE].
C. Zhang, SMEFTs living on the edge: determining the UV theories from positivity and extremality, JHEP 12 (2022) 096 [arXiv:2112.11665] [INSPIRE].
Q. Bi, C. Zhang and S.-Y. Zhou, Positivity constraints on aQGC: carving out the physical parameter space, JHEP 06 (2019) 137 [arXiv:1902.08977] [INSPIRE].
G.N. Remmen and N.L. Rodd, Consistency of the Standard Model Effective Field Theory, JHEP 12 (2019) 032 [arXiv:1908.09845] [INSPIRE].
D. Ghosh, R. Sharma and F. Ullah, Amplitude’s positivity vs. subluminality: causality and unitarity constraints on dimension 6 & 8 gluonic operators in the SMEFT, JHEP 02 (2023) 199 [arXiv:2211.01322] [INSPIRE].
C. Zhang and S.-Y. Zhou, Convex Geometry Perspective on the (Standard Model) Effective Field Theory Space, Phys. Rev. Lett. 125 (2020) 201601 [arXiv:2005.03047] [INSPIRE].
K. Yamashita, C. Zhang and S.-Y. Zhou, Elastic positivity vs extremal positivity bounds in SMEFT: a case study in transversal electroweak gauge-boson scatterings, JHEP 01 (2021) 095 [arXiv:2009.04490] [INSPIRE].
X. Li, Positivity bounds at one-loop level: the Higgs sector, JHEP 05 (2023) 230 [arXiv:2212.12227] [INSPIRE].
A. Carrillo-Monteverde et al., Dark Matter Direct Detection from new interactions in models with spin-two mediators, JHEP 06 (2018) 037 [arXiv:1803.02144] [INSPIRE].
Y.-J. Kang and H.M. Lee, Lightening Gravity-Mediated Dark Matter, Eur. Phys. J. C 80 (2020) 602 [arXiv:2001.04868] [INSPIRE].
H.M. Lee, M. Park and V. Sanz, Gravity-mediated (or Composite) Dark Matter, Eur. Phys. J. C 74 (2014) 2715 [arXiv:1306.4107] [INSPIRE].
N.D. Christensen and C. Duhr, FeynRules — Feynman rules made easy, Comput. Phys. Commun. 180 (2009) 1614 [arXiv:0806.4194] [INSPIRE].
A. Alloul et al., FeynRules 2.0 — A complete toolbox for tree-level phenomenology, Comput. Phys. Commun. 185 (2014) 2250 [arXiv:1310.1921] [INSPIRE].
T. Hahn, Generating Feynman diagrams and amplitudes with FeynArts 3, Comput. Phys. Commun. 140 (2001) 418 [hep-ph/0012260] [INSPIRE].
H.M. Lee, M. Park and V. Sanz, Gravity-mediated (or Composite) Dark Matter Confronts Astrophysical Data, JHEP 05 (2014) 063 [arXiv:1401.5301] [INSPIRE].
J.M. Cline, K. Kainulainen, P. Scott and C. Weniger, Update on scalar singlet dark matter, Phys. Rev. D 88 (2013) 055025 [Erratum ibid. 92 (2015) 039906] [arXiv:1306.4710] [INSPIRE].
J.M. Cline, TASI Lectures on Early Universe Cosmology: Inflation, Baryogenesis and Dark Matter, PoS TASI2018 (2019) 001 [arXiv:1807.08749] [INSPIRE].
R.J. Scherrer and M.S. Turner, On the Relic, Cosmic Abundance of Stable Weakly Interacting Massive Particles, Phys. Rev. D 33 (1986) 1585 [Erratum ibid. 34 (1986) 3263] [INSPIRE].
M. Hoferichter, J. Ruiz de Elvira, B. Kubis and U.-G. Meißner, High-Precision Determination of the Pion-Nucleon σ Term from Roy-Steiner Equations, Phys. Rev. Lett. 115 (2015) 092301 [arXiv:1506.04142] [INSPIRE].
P. Junnarkar and A. Walker-Loud, Scalar strange content of the nucleon from lattice QCD, Phys. Rev. D 87 (2013) 114510 [arXiv:1301.1114] [INSPIRE].
LZ collaboration, First Dark Matter Search Results from the LUX-ZEPLIN (LZ) Experiment, arXiv:2207.03764 [INSPIRE].
S.-M. Choi, Y.-J. Kang and H.M. Lee, Diphoton resonance confronts dark matter, JHEP 07 (2016) 030 [arXiv:1605.04804] [INSPIRE].
S.-M. Choi, Y.-J. Kang, H.M. Lee and T.-G. Ro, Lepto-Quark Portal Dark Matter, JHEP 10 (2018) 104 [arXiv:1807.06547] [INSPIRE].
Fermi-LAT collaboration, Searching for Dark Matter Annihilation from Milky Way Dwarf Spheroidal Galaxies with Six Years of Fermi Large Area Telescope Data, Phys. Rev. Lett. 115 (2015) 231301 [arXiv:1503.02641] [INSPIRE].
H.E.S.S. collaboration, Search for dark matter annihilations towards the inner Galactic halo from 10 years of observations with H.E.S.S, Phys. Rev. Lett. 117 (2016) 111301 [arXiv:1607.08142] [INSPIRE].
AMS collaboration, Antiproton Flux, Antiproton-to-Proton Flux Ratio, and Properties of Elementary Particle Fluxes in Primary Cosmic Rays Measured with the Alpha Magnetic Spectrometer on the International Space Station, Phys. Rev. Lett. 117 (2016) 091103 [INSPIRE].
S.-S. Kim, H.M. Lee and B. Zhu, Models for self-resonant dark matter, JHEP 05 (2022) 148 [arXiv:2202.13717] [INSPIRE].
Fermi-LAT collaboration, Dark Matter Constraints from Observations of 25 Milky Way Satellite Galaxies with the Fermi Large Area Telescope, Phys. Rev. D 89 (2014) 042001 [arXiv:1310.0828] [INSPIRE].
K. Boddy, J. Kumar, D. Marfatia and P. Sandick, Model-independent constraints on dark matter annihilation in dwarf spheroidal galaxies, Phys. Rev. D 97 (2018) 095031 [arXiv:1802.03826] [INSPIRE].
K.N. Abazajian et al., Strong constraints on thermal relic dark matter from Fermi-LAT observations of the Galactic Center, Phys. Rev. D 102 (2020) 043012 [arXiv:2003.10416] [INSPIRE].
CMS collaboration, Observation of electroweak production of same-sign W boson pairs in the two jet and two same-sign lepton final state in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, Phys. Rev. Lett. 120 (2018) 081801 [arXiv:1709.05822] [INSPIRE].
CMS collaboration, Measurement of electroweak WZ boson production and search for new physics in WZ + two jets events in pp collisions at \( \sqrt{s} \) = 13TeV, Phys. Lett. B 795 (2019) 281 [arXiv:1901.04060] [INSPIRE].
CMS collaboration, Search for anomalous electroweak production of vector boson pairs in association with two jets in proton-proton collisions at 13 TeV, Phys. Lett. B 798 (2019) 134985 [arXiv:1905.07445] [INSPIRE].
ATLAS collaboration, Search for invisible Higgs-boson decays in events with vector-boson fusion signatures using 139 fb−1 of proton-proton data recorded by the ATLAS experiment, JHEP 08 (2022) 104 [arXiv:2202.07953] [INSPIRE].
R. Boughezal, Y. Huang and F. Petriello, Exploring the SMEFT at dimension eight with Drell-Yan transverse momentum measurements, Phys. Rev. D 106 (2022) 036020 [arXiv:2207.01703] [INSPIRE].
S. Alioli, R. Boughezal, E. Mereghetti and F. Petriello, Novel angular dependence in Drell-Yan lepton production via dimension-8 operators, Phys. Lett. B 809 (2020) 135703 [arXiv:2003.11615] [INSPIRE].
X. Li et al., Moments for positivity: using Drell-Yan data to test positivity bounds and reverse-engineer new physics, JHEP 10 (2022) 107 [arXiv:2204.13121] [INSPIRE].
Acknowledgments
We thank Gauthier Durieux, Michael Trott, Myeonghun Park, and Nicholas L. Rodd, for their valuable comments and discussions. The work is supported in part by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (NRF-2022R1A2C2003567 and NRF-2021R1A4A2001897). The work of KY is supported by Brain Pool program funded by the Ministry of Science and ICT through the National Research Foundation of Korea (NRF-2021H1D3A2A02038697).
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Kim, SS., Lee, H.M. & Yamashita, K. Positivity bounds on Higgs-Portal dark matter. J. High Energ. Phys. 2023, 124 (2023). https://doi.org/10.1007/JHEP06(2023)124
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DOI: https://doi.org/10.1007/JHEP06(2023)124