High Energy Physics - Phenomenology · arXiv:2003.01788 v2 · submitted 3 Mar 2020
Higgs portal to dark matter and B → K(*) decays
The paper says
“Then we revisit the b → sh2 phenomenology and point out that a simultaneous study of B → K*h2 and B → Kh2 helps to discriminate between the Higgs portal and alternative models of the Dark Sector.”
from the abstract · picked out as the main claim by a classifier
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The paper
Abstract
We consider a Higgs portal model in which the 125-GeV Higgs boson mixes with a light singlet mediator h2 coupling to particles of a Dark Sector and study potential b → sh2 decays in the Belle II experiment. Multiplying the gauge-dependent off-shell Standard-Model b-s-Higgs vertex with the sine of the Higgs mixing angle does not give the correct b-s-h2 vertex. We clarify this issue by calculating the b-s-h2 vertex in an arbitrary Rξ gauge and demonstrate how the ξ dependence cancels from physical decay rates involving an on-shell or off-shell h2. Then we revisit the b → sh2 phenomenology and point out that a simultaneous study of B → K*h2 and B → Kh2 helps to discriminate between the Higgs portal and alternative models of the Dark Sector. We further advocate for the use of the h2 lifetime information contained in displaced-vertex data with h2 decaying back to Standard-Model particles to better constrain the h2 mass or to reveal additional h2 decay modes into long-lived particles.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 0.62
What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.26 · human participants 0.02 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.56 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v2). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| We consider a Higgs portal model in which the 125-GeV Higgs boson mixes with a light singlet mediator $h_2$ coupling to particles of a Dark Sector and study potential $b\to s h_2$ decays in the Belle II experiment. | contribution 0.95 | 0.71 | 0.09 | asserted 0.53 |
| Multiplying the gauge-dependent off-shell Standard-Model $b$-$s$-Higgs vertex with the sine of the Higgs mixing angle does not give the correct $b$-$s$-$h_2$ vertex. | gap 0.58 | 0.25 | 0.19 | asserted 1.00 |
| We clarify this issue by calculating the $b$-$s$-$h_2$ vertex in an arbitrary $R_\xi$ gauge and demonstrate how the $\xi$ dependence cancels from physical decay rates involving an on-shell or off-shell $h_2$. | contribution 0.60 | 0.95 | 0.22 | asserted 1.00 |
| Then we revisit the $b\to s h_2$ phenomenology and point out that a simultaneous study of $B\to K^* h_2$ and $B\to K h_2$ helps to discriminate between the Higgs portal and alternative models of the Dark Sector. | contribution 0.63 | 0.69 | 0.28 | asserted 0.62 |
| We further advocate for the use of the $h_2$ lifetime information contained in displaced-vertex data with $h_2$ decaying back to Standard-Model particles to better constrain the $h_2$ mass or to reveal additional $h_2$ decay modes into long-lived particles. | future work 0.89 | 0.30 | 0.16 | hedged possibility 0.59 |
What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 1.00
What was examined, and what was not
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- references and citing sentences
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,664 input tokens.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
Cited by 8 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- $B\rightarrow K + \text{axion-like particles}$: effective versus UV-complete models and enhanced two-loop contributions hep-ph · Jun 2025
- Displaced or invisible? ALPs from $B$ decays at Belle II hep-ph · Jan 2022
- Probing dark sectors with long-lived particles at BELLE II hep-ph · Nov 2019
- Probing naturally light singlets with a displaced vertex trigger hep-ph · Dec 2020
- Dark Scalars and Heavy Neutral Leptons at DarkQuest hep-ph · Aug 2020
- Dark Higgs Bosons at Colliders hep-ph · May 2023
- Exploring Dark Sector Portals with High Intensity Experiments hep-ph · Jul 2022
- Dark Sector Studies with Neutrino Beams hep-ph · Jul 2022
How the literature uses it
18 arXiv papers cite this in 20 sentences
Papers citing it · 17 sentences without a confident label
Cites it as background 3 papers
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Effective filed theory approach to the decay processes of $B$ with a single invisible scalar or fermion pair at the final state in dimension-5 or dimension-6 operators were studied at Refs. [ref]
Constraining light dark matter and mediator with $B^+ \rightarrow K^+ \nu \bar \nu$ data · A simple DM model · 0.93
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Other works that addressed simultaneously DM and the $B$-physics anomalies (among other observables) include Refs. [ref] .
Systematic approach to $B$-physics anomalies and $t$-channel dark matter · Introduction · 0.92
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Couplings of $h$ can be modified by the mixing of the SM Higgs field with another scalar field, as in e.g. Higgs portal models of Dark Matter (see [ref] for recent studies).
Higgs decay into two leptons and a photon revisited · Motivation · 0.86
What it cites · 16 sentences without a confident label
Builds on 2 papers
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In this paper we briefly revisit the recent analyses of Refs. [ref] and complement them with novel elements: Firstly, we present a novel analysis of the decay mode $B→K^*(892) h_2$ in comparison to $B→K h_2$.
Decay and Detection of a Light Scalar Boson Mixing with the Higgs · Phenomenology · 0.88
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In this paper we briefly revisit the recent analyses of Refs. [ref] and complement them with novel elements: Firstly, we present a novel analysis of the decay mode $B→K^*(892) h_2$ in comparison to $B→K h_2$.
Probing dark sectors with long-lived particles at BELLE II · Phenomenology · 0.88
Uses the method or tool of 4 papers
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We further use the FeynArts package [ref] for generating the amplitudes and the FeynCalc [ref] , Package-X [ref] , and FeynHelpers [ref] packages to evaluate the analytic expressions for the Feynman diagrams.
FeynCalc 9.3: New features and improvements · The $s̅ bh_2$ vertex in the $R_ξ$ gauge · 1.00
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We further use the FeynArts package [ref] for generating the amplitudes and the FeynCalc [ref] , Package-X [ref] , and FeynHelpers [ref] packages to evaluate the analytic expressions for the Feynman diagrams.
Package-X: A Mathematica package for the analytic calculation of one-loop integrals · The $s̅ bh_2$ vertex in the $R_ξ$ gauge · 1.00
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We further use the FeynArts package [ref] for generating the amplitudes and the FeynCalc [ref] , Package-X [ref] , and FeynHelpers [ref] packages to evaluate the analytic expressions for the Feynman diagrams.
New Developments in FeynCalc 9.0 · The $s̅ bh_2$ vertex in the $R_ξ$ gauge · 1.00
Uses data or values from 7 papers
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For this form factor we use the QCD lattice result of Ref. [ref] (see also [ref] ).
$B\to Kl^+l^-$ decay form factors from three-flavor lattice QCD · $B →K h_2$ · 1.00
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For this form factor we use the QCD lattice result of Ref. [ref] (see also [ref] ).
Rare decay B -> K ll form factors from lattice QCD · $B →K h_2$ · 1.00
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For this form factor we use the combination of results from lattice QCD [ref] and QCD sum rules [ref] as provided in Ref. [ref] .
Lattice QCD calculation of form factors describing the rare decays $B \to K^* \ell^+ \ell^-$ and $B_s \to \phi \ell^+ \ell^-$ · $B →K^∗ h_2$ · 0.96
Compares with 9 papers
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In Fig:combination we compare the reach of the Belle II experiment to displaced vertices of $h_2$ including both $B→K h_2$ and $B→K^∗h_2$ processes and decays of $h_2$ to $(ππ+ K K), μ^+μ^-, τ^+τ^-$ with the existing search limit of the LHCb experiment [ref] .[We use the result of Ref. [ref] for the LHCb search limit on $B(B→K h_2[→μ^+μ^-])$.] We also compare to projected sensitivities of other proposed experiments, Mathusla [ref] , SHiP [ref] , CODEX b [ref] and FASER 2 [ref] .
Decay and Detection of a Light Scalar Boson Mixing with the Higgs · $B →K^∗ h_2$ · 0.82
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In Fig:combination we compare the reach of the Belle II experiment to displaced vertices of $h_2$ including both $B→K h_2$ and $B→K^∗h_2$ processes and decays of $h_2$ to $(ππ+ K K), μ^+μ^-, τ^+τ^-$ with the existing search limit of the LHCb experiment [ref] .[We use the result of Ref. [ref] for the LHCb search limit on $B(B→K h_2[→μ^+μ^-])$.] We also compare to projected sensitivities of other proposed experiments, Mathusla [ref] , SHiP [ref] , CODEX b [ref] and FASER 2 [ref] .
A facility to Search for Hidden Particles at the CERN SPS: the SHiP physics case · $B →K^∗ h_2$ · 0.82
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In Fig:combination we compare the reach of the Belle II experiment to displaced vertices of $h_2$ including both $B→K h_2$ and $B→K^∗h_2$ processes and decays of $h_2$ to $(ππ+ K K), μ^+μ^-, τ^+τ^-$ with the existing search limit of the LHCb experiment [ref] .[We use the result of Ref. [ref] for the LHCb search limit on $B(B→K h_2[→μ^+μ^-])$.] We also compare to projected sensitivities of other proposed experiments, Mathusla [ref] , SHiP [ref] , CODEX b [ref] and FASER 2 [ref] .
Search for long-lived scalar particles in $B^+ \to K^+ \chi (\mu^+\mu^-)$ decays · $B →K^∗ h_2$ · 0.82
Cites as background 10 papers
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A viable scenario involves a gauge singlet Higgs field which mixes with the SM Higgs field through appropriate terms in the Higgs potential, resulting in a dominantly SU(2)-doublet Higgs boson $h_1$ with mass 125 GeV and an additional Higgs boson $h_2$ with a priori arbitrary mass [ref] .
Probing Light Thermal Dark-Matter With a Higgs Portal Mediator · Introduction · 0.93
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A viable scenario involves a gauge singlet Higgs field which mixes with the SM Higgs field through appropriate terms in the Higgs potential, resulting in a dominantly SU(2)-doublet Higgs boson $h_1$ with mass 125 GeV and an additional Higgs boson $h_2$ with a priori arbitrary mass [ref] .
Constraining Higgs mediated dark matter interactions · Introduction · 0.93
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Phenomenological studies of the scenario were recently performed in Refs. [ref] .
Probing dark sectors with long-lived particles at BELLE II · Introduction · 0.97
Challenges and discussion
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