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Re-analysis of rare radiative $\Xi_b^-\rightarrow \Xi^- \gamma$ decay in QCD
High Energy Physics - Phenomenology · Submitted 1 Dec 2023
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Next, using the results for the form factors the corresponding branching ratio for this decay is estimated to be $BR(\Xi_b^-\rightarrow \Xi^- \gamma)=(4.8\pm 1.3)\times 10^{-5}$.
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The abstract, sentence by sentence
The upper limit of the branching ratio of the rare $\Xi_b^-\rightarrow \Xi^- \gamma$ decay is obtained as $BR(\Xi_b^-\rightarrow \Xi^- \gamma)<1.3\times10^{-4}$ by the LHCb. In the present work we study this decay within the light cone QCD sum rules employing the $\Xi_b$ distribution amplitudes. At first stage, the form factors entering the $\Xi_b^-\rightarrow \Xi^- \gamma$ decay are obtained. Next, using the results for the form factors the corresponding branching ratio for this decay is estimated to be $BR(\Xi_b^-\rightarrow \Xi^- \gamma)=(4.8\pm 1.3)\times 10^{-5}$. This value lies below the upper limit established by the LHCb collaboration. Our finding for the branching ratio is also compared with the results of the other theoretical approaches existing in the literature.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The upper limit of the branching ratio of the rare $\Xi_b^-\rightarrow \Xi^- \gamma$ decay is obtained as $BR(\Xi_b^-\rightarrow \Xi^- \gamma)<1.3\times10^{-4}$ by the LHCb. | background 1.00 | 0.04 | 0.05 | asserted 1.00 |
| s1 | In the present work we study this decay within the light cone QCD sum rules employing the $\Xi_b$ distribution amplitudes. | contribution 0.88 | 0.88 | 0.04 | asserted 0.94 |
| s2 | At first stage, the form factors entering the $\Xi_b^-\rightarrow \Xi^- \gamma$ decay are obtained. | method 0.92 | 0.85 | 0.02 | asserted 0.97 |
| s3 | Next, using the results for the form factors the corresponding branching ratio for this decay is estimated to be $BR(\Xi_b^-\rightarrow \Xi^- \gamma)=(4.8\pm 1.3)\times 10^{-5}$. | result 1.00 | 0.95 | 0.81 | asserted 0.92 |
| s4 | This value lies below the upper limit established by the LHCb collaboration. | interpretation 0.90 | 0.53 | 0.23 | asserted 1.00 |
| s5 | Our finding for the branching ratio is also compared with the results of the other theoretical approaches existing in the literature. | contribution 0.43 | 0.71 | 0.06 | asserted 0.89 |
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The paper
Original abstract
The upper limit of the branching ratio of the rare $\Xi_b^-\rightarrow \Xi^- \gamma$ decay is obtained as $BR(\Xi_b^-\rightarrow \Xi^- \gamma)<1.3\times10^{-4}$ by the LHCb. In the present work we study this decay within the light cone QCD sum rules employing the $\Xi_b$ distribution amplitudes. At first stage, the form factors entering the $\Xi_b^-\rightarrow \Xi^- \gamma$ decay are obtained. Next, using the results for the form factors the corresponding branching ratio for this decay is estimated to be $BR(\Xi_b^-\rightarrow \Xi^- \gamma)=(4.8\pm 1.3)\times 10^{-5}$. This value lies below the upper limit established by the LHCb collaboration. Our finding for the branching ratio is also compared with the results of the other theoretical approaches existing in the literature.
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What this paper does with the arXiv papers it cites
What it cites · 10 sentences without a confident label
Uses data or values from 5 papers
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[equation] for which the values of the parameters $a_0, a_1, a_2$, and $ε_0, ε_1, ε_2$ are given in Ref. [ref] with $A=1/2$, $C_n^λ(2 u-1)$ is the Gegenbauer polynomial, and
Light-Cone Distribution Amplitudes of the Ground State Bottom Baryons in HQET · Numerical Analyses · 1.00
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where $C_7γ^(0)eff(m_b)=-0.310$ [ref] , $G_F = (1.166 ×10^-5) GeV^-2$ and the fine structure constant is $α_em≡e^2/4π=1/137$.
Rare radiative $\Xi^{-}_{b}\to \Xi^-\gamma$ decay in the relativistic quark model · Form factors for the $Ξ_b^-→Ξ^- γ$ decay in light cone QCD sum rules · 1.00
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where $C_7γ^(0)eff(m_b)=-0.310$ [ref] , $G_F = (1.166 ×10^-5) GeV^-2$ and the fine structure constant is $α_em≡e^2/4π=1/137$.
Theoretical Uncertainties and Phenomenological Aspects of $B \rightarrow X_s \gamma$ Decay · Form factors for the $Ξ_b^-→Ξ^- γ$ decay in light cone QCD sum rules · 1.00
Compares with 6 papers
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We obtained that the branching ratio, $BR(Ξ_b^-→Ξ^-γ)=(4.8±1.3)×10^-5$, has consistent order of magnitude with results given in Refs. [ref] and below the experimental upper limit [ref] .
Radiative $\Xi_{b}^{-}\rightarrow \Xi^{-}\gamma$ decay · Summary and conclusion · 1.00
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We obtained that the branching ratio, $BR(Ξ_b^-→Ξ^-γ)=(4.8±1.3)×10^-5$, has consistent order of magnitude with results given in Refs. [ref] and below the experimental upper limit [ref] .
Studying Radiative Baryon Decays with the SU(3) Flavor Symmetry · Summary and conclusion · 1.00
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We obtained that the branching ratio, $BR(Ξ_b^-→Ξ^-γ)=(4.8±1.3)×10^-5$, has consistent order of magnitude with results given in Refs. [ref] and below the experimental upper limit [ref] .
2108.07678 · Summary and conclusion · 1.00
Cites as background 5 papers
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This decay was investigated within different approaches, such as light-front quark model [ref] , relativistic quark-diquark model [ref] , light cone QCD sum rules [ref] using the $Ξ$ baryon distribution amplitudes, and in the framework of SU(3) flavor symmetry [ref] .
The exclusive rare decay b->s gamma of heavy b-Baryons · Introduction · 0.99
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This decay was investigated within different approaches, such as light-front quark model [ref] , relativistic quark-diquark model [ref] , light cone QCD sum rules [ref] using the $Ξ$ baryon distribution amplitudes, and in the framework of SU(3) flavor symmetry [ref] .
Studying Radiative Baryon Decays with the SU(3) Flavor Symmetry · Introduction · 0.99
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This decay was investigated within different approaches, such as light-front quark model [ref] , relativistic quark-diquark model [ref] , light cone QCD sum rules [ref] using the $Ξ$ baryon distribution amplitudes, and in the framework of SU(3) flavor symmetry [ref] .
Radiative $\Xi_{b}^{-}\rightarrow \Xi^{-}\gamma$ decay · Introduction · 0.99
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