Abstract

This document outlines a set of simplified models for dark matter and its interactions with Standard Model particles. It is intended to summarize the main characteristics that these simplified models have when applied to dark matter searches at the LHC, and to provide a number of useful expressions for reference. The list of models includes both s-channel and t-channel scenarios. For s-channel, spin-0 and spin-1 mediation is discussed, and also realizations where the Higgs particle provides a portal between the dark and visible sectors. The guiding principles underpinning the proposed simplified models are spelled out, and some suggestions for implementation are presented.

Highlights

  • Gravitational effects on astrophysical scales give convincing evidence for the presence of dark matter (DM) in Nature, an observation that is strongly supported by the large-scale structure of the Universe and measurements of the cosmic microwave background [1]

  • For a simplified DM model to be useful at the LHC, it should fulfill the following three criteria: (i) it should be simple enough to form a credible unit within a more complicated model; (ii) it should be complete enough to be able to describe accurately the relevant physics phenomena at the energies that can be probed at the LHC; (iii) by construction it should satisfy all non high-pT

  • Which implies that for ∆V ' 1 the Z 0 -boson mass MZ 0 should be larger than around 3 × 104 TeV, because otherwise one would be in conflict with the experimental bounds on kaon mixing. In view of this result it should be clear that in order to allow for interesting LHC phenomenology, one has to require that the simplified model is Minimal Flavor Violation (MFV)

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Summary

Introduction

Gravitational effects on astrophysical scales give convincing evidence for the presence of dark matter (DM) in Nature, an observation that is strongly supported by the large-scale structure of the Universe and measurements of the cosmic microwave background [1]. (II) The large energies accessible at the LHC call into question the momentum expansion underlying the EFT approximation [6, 10, 11, 12, 13, 14, 15, 16, 17], and we can expand our level of detail toward simplified DM models (for early proposals see for example [18, 19, 20, 21, 22, 23]) Such models are characterized by the most important state mediating the DM particle interactions with the SM, as well as the DM particle itself.

Criteria for Simplified Models
Note about Flavor and CP Violation
MFV Spin-0 s-Channel Models
MFV Spin-1 s-Channel Models
Comment on Non-MFV Models
Note about Spins
Scalar s-channel Mediator
Fermionic DM
LHC Searches
Thermal Cross Sections
Direct Detection
Higgs Portal DM
Scalar Singlet DM
Fermion Singlet DM
Singlet-Doublet DM
Model-Building Aspects
The Higgs Sector
Mixing with SM Gauge Bosons
Phenomenological Aspects
Collider Searches
Annihilation
Collider Constraints
Mono-Jet Searches
Squark Searches
Scattering with Nucleons
Annihilation Rates
Conclusions
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