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$B \to K^{\ast}_0(1430) l^{+} l^{-}$ decays in supersymmetric theories
High Energy Physics - Phenomenology · Submitted 3 Feb 2009
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The transverse lepton polarization asymmetry is almost zero in SM and in MSSM model, whereas it can reach to -0.3 in SUSY SO(10) GUT model which could be seen at the future colliders; hence this asymmetry observable can be used to discriminate between different SUSY models.
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The weak decays of $B \to K^{\ast}_0(1430) l^{+} l^{-}$ ($l=\mu, \tau$) are investigated in Minimal Supersymmetric Standard Model (MSSM) and also in Supersymmetric (SUSY) SO(10) Grand Unified Models. Neutral Higgs bosons are the point of main focus in MSSM because they make quite a large contribution in exclusive $B \to X_{s} l^{+} l^{-}$ decays at large $\tan{\beta}$ regions of parameter space of SUSY models, as part of SUSY contributions is proportional to $\tan^{3}{\beta}$. The analysis of decay rate, forward-backward asymmetries and lepton polarization asymmetries in $B \to K^{\ast}_0(1430) l^{+} l^{-}$ show that the values of these physical observables are greatly modified by the effects of neutral Higgs bosons. In SUSY SO(10) GUT model, the new physics contribution comes from the operators which are induced by the neutral Higgs boson penguins and also from the operators with chirality opposite to that of the corresponding Standard Model (SM) operators. SUSY SO(10) effects show up only in the decay $B \to K^{\ast}_0 \mu^{+} \mu^{-}$ where the transverse lepton polarization asymmetries deviate significantly from the SM value while the effects in the decay rate, forward-backward asymmetries, the longitudinal and normal lepton polarization asymmetries are very mild. The transverse lepton polarization asymmetry is almost zero in SM and in MSSM model, whereas it can reach to -0.3 in SUSY SO(10) GUT model which could be seen at the future colliders; hence this asymmetry observable can be used to discriminate between different SUSY models.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The weak decays of $B \to K^{\ast}_0(1430) l^{+} l^{-}$ ($l=\mu, \tau$) are investigated in Minimal Supersymmetric Standard Model (MSSM) and also in Supersymmetric (SUSY) SO(10) Grand Unified Models. | contribution 0.98 | 0.76 | 0.04 | asserted 0.91 |
| s1 | Neutral Higgs bosons are the point of main focus in MSSM because they make quite a large contribution in exclusive $B \to X_{s} l^{+} l^{-}$ decays at large $\tan{\beta}$ regions of parameter space of SUSY models, as part of SUSY contributions is proportional to $\tan^{3}{\beta}$. | background 0.99 | 0.11 | 0.07 | asserted 0.98 |
| s2 | The analysis of decay rate, forward-backward asymmetries and lepton polarization asymmetries in $B \to K^{\ast}_0(1430) l^{+} l^{-}$ show that the values of these physical observables are greatly modified by the effects of neutral Higgs bosons. | result 0.99 | 0.88 | 0.43 | asserted 1.00 |
| s3 | In SUSY SO(10) GUT model, the new physics contribution comes from the operators which are induced by the neutral Higgs boson penguins and also from the operators with chirality opposite to that of the corresponding Standard Model (SM) operators. | method 0.49 | 0.47 | 0.09 | asserted 1.00 |
| s4 | SUSY SO(10) effects show up only in the decay $B \to K^{\ast}_0 \mu^{+} \mu^{-}$ where the transverse lepton polarization asymmetries deviate significantly from the SM value while the effects in the decay rate, forward-backward asymmetries, the longitudinal and normal lepton polarization asymmetries are very mild. | result 1.00 | 0.86 | 0.22 | asserted 1.00 |
| s5 | The transverse lepton polarization asymmetry is almost zero in SM and in MSSM model, whereas it can reach to -0.3 in SUSY SO(10) GUT model which could be seen at the future colliders; hence this asymmetry observable can be used to discriminate between different SUSY models. | interpretation 0.69 | 0.82 | 0.60 | hedged possibility 0.76 |
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Original abstract
The weak decays of $B \to K^{\ast}_0(1430) l^{+} l^{-}$ ($l=\mu, \tau$) are investigated in Minimal Supersymmetric Standard Model (MSSM) and also in Supersymmetric (SUSY) SO(10) Grand Unified Models. Neutral Higgs bosons are the point of main focus in MSSM because they make quite a large contribution in exclusive $B \to X_{s} l^{+} l^{-}$ decays at large $\tan{\beta}$ regions of parameter space of SUSY models, as part of SUSY contributions is proportional to $\tan^{3}{\beta}$. The analysis of decay rate, forward-backward asymmetries and lepton polarization asymmetries in $B \to K^{\ast}_0(1430) l^{+} l^{-}$ show that the values of these physical observables are greatly modified by the effects of neutral Higgs bosons. In SUSY SO(10) GUT model, the new physics contribution comes from the operators which are induced by the neutral Higgs boson penguins and also from the operators with chirality opposite to that of the corresponding Standard Model (SM) operators. SUSY SO(10) effects show up only in the decay $B \to K^{\ast}_0 \mu^{+} \mu^{-}$ where the transverse lepton polarization asymmetries deviate significantly from the SM value while the effects in the decay rate, forward-backward asymmetries, the longitudinal and normal lepton polarization asymmetries are very mild. The transverse lepton polarization asymmetry is almost zero in SM and in MSSM model, whereas it can reach to -0.3 in SUSY SO(10) GUT model which could be seen at the future colliders; hence this asymmetry observable can be used to discriminate between different SUSY models.
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How the literature uses it
11 arXiv papers cite this in 17 sentences
Papers citing it · 7 sentences without a confident label
Contests it 1 paper
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In this context, SUSY which previously become a prime candidate to explain the Belle anomaly because in some of the scenarios of MSSM such as SUSY-I and SUSY-II, the $A_FB(q^2)$ do not cross the zero position [ref] now seems to be ruled out after the LHCb data.
Comparative Study of B_{c} --> D_{s}^{*}l^{+}l^{-} Decays in Standard Model and Supersymmetric Models · Introduction · contest 0.73
Uses its method or tool 2 papers
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In the rest frame of the lepton $ℓ^-$, the unit vectors along longitudinal, normal and transversal component of the $ℓ^-$ can be defined as [ref] :
Impact of $Z^{\prime}$ and UED parameters on different asymmetries in $B_{s} \to \phi \ell^{+} \ell^{-}$ decays · Lepton Polarization Asymmetries · 0.80
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In the rest frame of the lepton $ℓ^-$, the unit vectors along longitudinal, normal and transversal component of the $ℓ^-$ can be defined as [ref] :
Comparative Study of B_{c} --> D_{s}^{*}l^{+}l^{-} Decays in Standard Model and Supersymmetric Models · Lepton Polarization Asymmetries · 0.92
Uses its data or values 2 papers
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The values of Wilson coefficients used in our numerical analysis are taken from Refs. [ref] and summarized in Tables [ref], [ref] and [ref].
Comparative Study of B_{c} --> D_{s}^{*}l^{+}l^{-} Decays in Standard Model and Supersymmetric Models · Numerical Results and Discussion · 0.98
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The values of Wilson coefficients in different supersymmetric models are presented in table 1 [ref] .
Comparative analysis of the $\Lambda_b \rightarrow \Lambda \ell^+ \ell^-$ decay in the SM, SUSY and RS model with custodial protection · The effective Hamiltonian and Wilson Coefficients · 0.85
Compares with it 1 paper
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In our study we consider three-point QCD sum rules results for the values of form factors and the branching ratio is different from those presented in Ref. [ref] .
A comparative study on $B \rar K^\ast \ell^+ \ell^-$ and $B \rar K_0^\ast (1430) \ell^+ \ell^-$ decays in the Supersymmetric Models · Numerical results · 0.93
Cites it as support 1 paper
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It follows that the numerator of $A_FB(q^2)$ vanishes identically in the SM, and $A_FB(q^2)=0$ for all $q^2$ [ref] .
Study of $B \to K_0^*(1430)\,\ell^+ \ell^-$ decay in the standard model and scalar leptoquark scenario · Forward-backward asymmetry and lepton polarization · 0.99
Cites it as background 2 papers
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In recent years, the decays $B→K_1(1270,1400)ll̅$ [ref] , $B→K^*_0(1430)ll̅$ [ref] and $B→K^*_2(1430)ll̅$ [ref] have also been emphasized.
The rare semi-leptonic $B_c$ decays involving orbitally excited final mesons · Introduction · 0.93
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Similarly, in the last decades, the FCNC $b→sℓ^+ℓ^-$ process has also been studied theoretically in detail within the SM [ref] , and to address the above mentioned deviations from the SM that occurred in these FCNC process, they are also studied in the various SM extensions [ref] .
Exploring New Physics in transition $b\to s\,\ell^+\ell^-$ through different $B_c\to D_s^{(\ast)} \,\ell^+\ell^-$ observables · Introduction · 0.93
What it cites · 29 sentences without a confident label
Builds on 1 paper
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We extend this analysis to the SUSY SO(10) GUT model [ref] , where there are some primed counterparts of the usual SM operators.
Exclusive semileptonic rare decays $B ->_ ($K,K^*) \ell^+ \ell^- in supersymmetric theories · Introduction · 0.92
Uses data or values from 2 papers
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In our numerical analysis for $B̅_0 →K^∗_0(1430)$ decays, we shall use the results of the form factors calculated by LCSR approach in Ref. [ref] , and the values of the relevant Wilson coefficient for MSSM and SUSY SO(10) GUT models are borrowed from Ref. [ref] .
Exclusive semileptonic rare decays $B ->_ ($K,K^*) \ell^+ \ell^- in supersymmetric theories · Introduction · 1.00
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In our numerical analysis for $B̅_0 →K^∗_0(1430)$ decays, we shall use the results of the form factors calculated by LCSR approach in Ref. [ref] , and the values of the relevant Wilson coefficient for MSSM and SUSY SO(10) GUT models are borrowed from Ref. [ref] .
Exclusive Semileptonic Rare Decays $B \to K^{(*)} l^+ l^-$ in a SUSY SO(10) GUT · Introduction · 1.00
Cites as support 1 paper
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The forward-backward asymmetry for the decay modes $B̅_0 →K^∗_0(1430) l^+ l^-$ is exactly equal to zero in the SM [ref] due to the absence of scalar-type coupling between the lepton pair, which serves as a valuable ground to test the SM precisely as well as bound its extensions stringently.
Lepton Polarization Asymmetry in $B\to K^{(*)} l^+l^-$ · The differential decay rates and forward-backward asymmetry of $B̅_0→K^∗_0(1430) l^+l^-$ · 0.96
Cites as background 6 papers
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To this purpose, the SUSY SO(10) Grand Unified Models (GUT) [ref] has been proposed in literature.
Neutrino mixing and large CP violation in B physics · Introduction · 0.90
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For low value of momentum transfer, the photonic penguin dominates, while the $Z$ penguin and $W$ box become important towards high value of momentum transfer [ref] .
Exclusive semileptonic rare decays $B ->_ ($K,K^*) \ell^+ \ell^- in supersymmetric theories · Introduction · 0.80
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In literature, there have been intensive studies on the exclusive decays $B →P(V, A) l^+ l^-$ [ref] both in the SM and beyond, where the notions $P, V$ and $A$ denote the pseudoscalar, vector and axial vector mesons respectively.
Exclusive Semileptonic and Rare B-Meson Decays in QCD · Introduction · 0.96
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