Heavy dark matter through the dilaton portal
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Springer
Received: July 23, 2020 Accepted: September 8, 2020 Published: October 7, 2020
Heavy dark matter through the dilaton portal
´ Sorbonne Universit´e, CNRS, Laboratoire de Physique Th´eorique et Hautes Energies, LPTHE, F-75005 Paris, France b Institut Universitaire de France, 103 boulevard Saint-Michel, 75005 Paris, France c School of Physics, Korea Institute for Advanced Study, Seoul 02455, Korea d Department of Physics, Korea University, Seoul 136-713, Korea
a
E-mail: [email protected], [email protected], [email protected], [email protected], [email protected], [email protected] Abstract: We re-examine current and future constraints on a heavy dilaton coupled to a simple dark sector consisting of a Majorana fermion or a St¨ uckelberg vector field. We include three different treatments of dilaton-Higgs mixing, paying particular attention to a gauge-invariant formulation of the model. Moreover, we also invite readers to re-examine effective field theories of vector dark matter, which we show are missing important terms. Along with the latest Higgs coupling data, heavy scalar search results, and dark matter density/direct detection constraints, we study the LHC bounds on the model and estimate the prospects of dark matter production at the future HL-LHC and 100 TeV FCC colliders. We additionally compute novel perturbative unitarity constraints involving vector dark matter, dilaton and gluon scattering. Keywords: Phenomenological Models ArXiv ePrint: 2007.08546
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP10(2020)044
JHEP10(2020)044
Benjamin Fuks,a,b Mark D. Goodsell,a Dong Woo Kang,c Pyungwon Ko,c Seung J. Leed and Manuel Utscha
Contents 1
2 The 2.1 2.2 2.3 2.4
2 2 5 8 9
dilaton portal to dark matter Theoretical framework Higgs-Dilaton mixing Fermionic and vector dark matter through the dilaton portal Perturbative partial wave unitarity
3 Constraints on the Higgs-dilaton mixing 3.1 Constraints from the light SM-like Higgs boson 3.2 Heavy scalar searches
10 11 13
4 Underground searches for dark matter 4.1 Collider constraints 4.2 Vector dark matter at zero mixing 4.3 Collider and vector dark matter constraints at non-zero mixing
15 15 17 18
5 Future collider constraints
21
6 Conclusions
23
A Perturbative unitarity constraints A.1 Scattering to dark matter A.2 Scattering at high energy A.3 Scattering at low energy A.4 Scattering to gluons
24 24 25 26 27
1
Introduction
Any theory can be made scale invariant by coupling it to a dilaton. The scale invariance can then be softly broken, giving the dilaton a mass and self-interactions, and this becomes a popular proposal [1–14] for solving the hierarchy problem of the Standard Model (SM). Such SM plus dilaton theories can either be thought of as fundamental, or as the lowenergy limit of composite theories, where the dilaton becomes the pseudo-Goldstone boson associated with the spontaneous breaking of scale invariance. It therefore couples to the SM fields through the trace of the ene
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