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Fermionic Singlet Dark Matter in One-Loop Solutions to the $R_K$ Anomaly: A Systematic Study
High Energy Physics - Phenomenology · Submitted 22 Mar 2021
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Quarkphilic and amphiphilic scenarios even provide narrow regions of parameter space where the observed relic density can be reproduced while offering an explanation to $R_K$ in agreement with direct detection experiments.
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The abstract, sentence by sentence
We study the dark matter phenomenology of Standard Model extensions addressing the reported anomaly in the $R_K$ observable at one-loop. The article covers the case of fermionic singlet DM coupling leptophilically, quarkphilically or amphiphilically to the SM. The setup utilizes a large coupling of the new particle content to the second lepton generation to explain the $R_K$ anomaly, which in return tends to diminish the dark matter relic density. Further, dark matter direct detection experiments provide stringent bounds even in cases where the dark matter candidate only contributes a small fraction of the observed dark matter energy density. In fact, direct detection rules out all considered models as an explanation for the $R_K$ anomaly in the case of Dirac dark matter. Conversely, for Majorana dark matter, the $R_K$ anomaly can be addressed in agreement with direct detection in coannihilation scenarios. For leptophilic dark matter this region only exists for $M_\text{DM} \lesssim 1000 \, \mathrm{GeV}$ and dark matter is underabundant. Quarkphilic and amphiphilic scenarios even provide narrow regions of parameter space where the observed relic density can be reproduced while offering an explanation to $R_K$ in agreement with direct detection experiments.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the dark matter phenomenology of Standard Model extensions addressing the reported anomaly in the $R_K$ observable at one-loop. | contribution 0.99 | 0.88 | 0.04 | asserted 0.82 |
| s1 | The article covers the case of fermionic singlet DM coupling leptophilically, quarkphilically or amphiphilically to the SM. | contribution 0.86 | 0.51 | 0.03 | asserted 0.98 |
| s2 | The setup utilizes a large coupling of the new particle content to the second lepton generation to explain the $R_K$ anomaly, which in return tends to diminish the dark matter relic density. | result 0.44 | 0.47 | 0.06 | asserted 0.93 |
| s3 | Further, dark matter direct detection experiments provide stringent bounds even in cases where the dark matter candidate only contributes a small fraction of the observed dark matter energy density. | background 0.78 | 0.15 | 0.04 | asserted 1.00 |
| s4 | In fact, direct detection rules out all considered models as an explanation for the $R_K$ anomaly in the case of Dirac dark matter. | result 1.00 | 0.81 | 0.21 | asserted 1.00 |
| s5 | Conversely, for Majorana dark matter, the $R_K$ anomaly can be addressed in agreement with direct detection in coannihilation scenarios. | result 1.00 | 0.86 | 0.29 | hedged possibility 0.58 |
| s6 | For leptophilic dark matter this region only exists for $M_\text{DM} \lesssim 1000 \, \mathrm{GeV}$ and dark matter is underabundant. | result 0.99 | 0.85 | 0.08 | asserted 1.00 |
| s7 | Quarkphilic and amphiphilic scenarios even provide narrow regions of parameter space where the observed relic density can be reproduced while offering an explanation to $R_K$ in agreement with direct detection experiments. | result 1.00 | 0.89 | 0.27 | asserted 0.80 |
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The paper
Original abstract
We study the dark matter phenomenology of Standard Model extensions addressing the reported anomaly in the $R_K$ observable at one-loop. The article covers the case of fermionic singlet DM coupling leptophilically, quarkphilically or amphiphilically to the SM. The setup utilizes a large coupling of the new particle content to the second lepton generation to explain the $R_K$ anomaly, which in return tends to diminish the dark matter relic density. Further, dark matter direct detection experiments provide stringent bounds even in cases where the dark matter candidate only contributes a small fraction of the observed dark matter energy density. In fact, direct detection rules out all considered models as an explanation for the $R_K$ anomaly in the case of Dirac dark matter. Conversely, for Majorana dark matter, the $R_K$ anomaly can be addressed in agreement with direct detection in coannihilation scenarios. For leptophilic dark matter this region only exists for $M_\text{DM} \lesssim 1000 \, \mathrm{GeV}$ and dark matter is underabundant. Quarkphilic and amphiphilic scenarios even provide narrow regions of parameter space where the observed relic density can be reproduced while offering an explanation to $R_K$ in agreement with direct detection experiments.
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References
How the literature uses it
5 arXiv papers cite this in 5 sentences
Papers citing it · 4 sentences without a confident label
Cites it as background 1 paper
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Models of this kind for DM, the $g-2$ and/or the $B$ anomalies have been discussed in Refs. [ref] .
Muon $g-2$ and $B$-anomalies from Dark Matter · Introduction · 0.91
What it cites · 38 sentences without a confident label
Builds on 1 paper
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Our work builds on a class of models introduced in [ref] to address the $R_K$ anomaly.
Loop effects of heavy new scalars and fermions in $b\to s\mu^+\mu^-$ · Introduction · 1.00
Uses the method or tool of 9 papers
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We additionally use micrOMEGAs to numerically solve Boltzmann's equations [ref] and obtain the relic density.
micrOMEGAs3.1 : a program for calculating dark matter observables · Dark Matter Phenomenology · 1.00
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We additionally use micrOMEGAs to numerically solve Boltzmann's equations [ref] and obtain the relic density.
micrOMEGAs5.0 : freeze-in · Dark Matter Phenomenology · 1.00
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To carry out our phenomenological analysis, we use FeynRules [ref] and its interface with FeynArts [ref] and FormCalc [ref] and/or FeynCalc to calculate contributions to direct detection cross sections up to one-loop level.
Automatized One-Loop Calculations in 4 and D dimensions · Dark Matter Phenomenology · 1.00
Uses data or values from 11 papers
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In this section, we analyze whether the aforementioned models can simultaneously create the correct DM relic density $Ω_DM h^2 = 0.120 ±0.001$ (at $68%$ CL) observed by Planck [ref] and withstand the bounds set by DM direct detection (DD) experiments like XENON [ref] .
Constraining the Spin-Dependent WIMP-Nucleon Cross Sections with XENON1T · Dark Matter Phenomenology · 0.98
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In this section, we analyze whether the aforementioned models can simultaneously create the correct DM relic density $Ω_DM h^2 = 0.120 ±0.001$ (at $68%$ CL) observed by Planck [ref] and withstand the bounds set by DM direct detection (DD) experiments like XENON [ref] .
Planck 2018 results. VI. Cosmological parameters · Dark Matter Phenomenology · 0.98
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The $2σ$ bounds on $𝒞_9=-𝒞_10$ and $𝒞_BB̅$ are [ref] [equation] Starting from these premises, we can construct an upper bound on $Γ_sΓ_b^*$ from $B$-$B̅$ mixing and use this to construct a lower bound on $Γ_μ$ by taking into account the bounds on $𝒞_9$.
$B^0_{(s)}$-mixing matrix elements from lattice QCD for the Standard Model and beyond · Constraints on new Yukawa Couplings · 0.99
Compares with 2 papers
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We calculate the VIB contribution to the annihilation cross section using micrOMEGAs 5.0 and compare the results to the the 95% C.L. upper limits on the annihilation cross section $⟨σv ⟩_f̅fγ + 2⟨σv ⟩_γγ$ for $κ=1.1,1.01$ obtained by [ref] .
Internal bremsstrahlung signatures in light of direct dark matter searches · Indirect Detection · 0.89
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Out of the ten models discussed in this paper four are covered in the analysis of [ref] , namely aIA and bIIB for both Majorana and Dirac fermions, albeit with a more elaborate collider phenomenology.
Systematic approach to $B$-physics anomalies and $t$-channel dark matter · Summary and Conclusions · 0.99
Cites as background 16 papers
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The model classes proposed by [ref] as a one-loop solution to the $b →s μ^- μ^+$ anomalies are distinct in their particle content.
Loop effects of heavy new scalars and fermions in $b\to s\mu^+\mu^-$ · Setup and Classification · 0.93
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References [ref] discuss a scalar singlet DM realization (bIA model), while [ref] discusses DM in the context of a leptophilic fermionic singlet setup (bIIA) for Majorana DM.
Impact of the $b \to s ll$ anomalies on dark matter physics · Introduction · 0.84
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References [ref] discuss a scalar singlet DM realization (bIA model), while [ref] discusses DM in the context of a leptophilic fermionic singlet setup (bIIA) for Majorana DM.
Anomalies in $b \to s$ transitions and dark matter · Introduction · 0.84
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