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Studying of Bs --> K(*)-pi+, K(*)-rho+ decays within supersymmetry
High Energy Physics - Phenomenology · Submitted 17 Jul 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find the constrained LR and RL insertions can provide sizable contributions to the branching ratios of $B_{s}\to K^{*-}\pi^{+}$,$K^{(*)-}\rho^{+}$ as well as the direct CP asymmetry and the longitudinal polarization of $B_{s}\to K^{*-}\rho^{+}$ decay without conflict with all related data within $2\sigma$ ranges.
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The abstract, sentence by sentence
Recent results from CDF Collaboration favor a large CP asymmetry in $B_s\rightarrow K^-\pi^+$ decay, while the Standard Model prediction is very small. Moreover, the measurement of its branching ratio is lower than the Standard Model prediction based on the QCD factorization. We compute the gluino-mediated supersymmetry contributions to $B_{s}\to K^{(*)-}\pi^{+}$,$K^{(*)-}\rho^{+}$ decays in the frame of the mass insertion method, and find that for $\frac{m^2_{\tilde{g}}}{m^2_{\tilde{q}}}\leq2$, the theoretical predictions including the LR and RL mass insertion contributions are compatible with the measurements of $B_s\to K^-\pi^+$ decay and $B^0-\bar{B}^0$ mixing within $2\sigma$ ranges. Using the constrained LR and RL mass insertion parameter spaces, we explore the supersymmetry mass insertion effects on the branching ratios, the direct CP asymmetries and the polarization fractions in $B_{s}\to K^{*-}\pi^+, K^{-}\rho^+, K^{*-}\rho^+$ decays. We find the constrained LR and RL insertions can provide sizable contributions to the branching ratios of $B_{s}\to K^{*-}\pi^{+}$,$K^{(*)-}\rho^{+}$ as well as the direct CP asymmetry and the longitudinal polarization of $B_{s}\to K^{*-}\rho^{+}$ decay without conflict with all related data within $2\sigma$ ranges. Near future experiments at Fermi Lab and CERN LHC-b can test our predictions and shrink/reveal the mass insertion parameter spaces.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Recent results from CDF Collaboration favor a large CP asymmetry in $B_s\rightarrow K^-\pi^+$ decay, while the Standard Model prediction is very small. | background 0.99 | 0.04 | 0.03 | asserted 0.93 |
| s1 | Moreover, the measurement of its branching ratio is lower than the Standard Model prediction based on the QCD factorization. | background 0.97 | 0.06 | 0.02 | asserted 1.00 |
| s2 | We compute the gluino-mediated supersymmetry contributions to $B_{s}\to K^{(*)-}\pi^{+}$,$K^{(*)-}\rho^{+}$ decays in the frame of the mass insertion method, and find that for $\frac{m^2_{\tilde{g}}}{m^2_{\tilde{q}}}\leq2$, the theoretical predictions including the LR and RL mass insertion contributions are compatible with the measurements of $B_s\to K^-\pi^+$ decay and $B^0-\bar{B}^0$ mixing within $2\sigma$ ranges. | result 0.76 | 0.96 | 0.42 | asserted 0.98 |
| s3 | Using the constrained LR and RL mass insertion parameter spaces, we explore the supersymmetry mass insertion effects on the branching ratios, the direct CP asymmetries and the polarization fractions in $B_{s}\to K^{*-}\pi^+, K^{-}\rho^+, K^{*-}\rho^+$ decays. | contribution 0.72 | 0.90 | 0.07 | asserted 0.80 |
| s4 | We find the constrained LR and RL insertions can provide sizable contributions to the branching ratios of $B_{s}\to K^{*-}\pi^{+}$,$K^{(*)-}\rho^{+}$ as well as the direct CP asymmetry and the longitudinal polarization of $B_{s}\to K^{*-}\rho^{+}$ decay without conflict with all related data within $2\sigma$ ranges. | result 1.00 | 0.96 | 0.73 | asserted 1.00 |
| s5 | Near future experiments at Fermi Lab and CERN LHC-b can test our predictions and shrink/reveal the mass insertion parameter spaces. | future work 0.99 | 0.12 | 0.06 | hedged possibility 0.72 |
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The paper
Original abstract
Recent results from CDF Collaboration favor a large CP asymmetry in $B_s\rightarrow K^-\pi^+$ decay, while the Standard Model prediction is very small. Moreover, the measurement of its branching ratio is lower than the Standard Model prediction based on the QCD factorization. We compute the gluino-mediated supersymmetry contributions to $B_{s}\to K^{(*)-}\pi^{+}$,$K^{(*)-}\rho^{+}$ decays in the frame of the mass insertion method, and find that for $\frac{m^2_{\tilde{g}}}{m^2_{\tilde{q}}}\leq2$, the theoretical predictions including the LR and RL mass insertion contributions are compatible with the measurements of $B_s\to K^-\pi^+$ decay and $B^0-\bar{B}^0$ mixing within $2\sigma$ ranges. Using the constrained LR and RL mass insertion parameter spaces, we explore the supersymmetry mass insertion effects on the branching ratios, the direct CP asymmetries and the polarization fractions in $B_{s}\to K^{*-}\pi^+, K^{-}\rho^+, K^{*-}\rho^+$ decays. We find the constrained LR and RL insertions can provide sizable contributions to the branching ratios of $B_{s}\to K^{*-}\pi^{+}$,$K^{(*)-}\rho^{+}$ as well as the direct CP asymmetry and the longitudinal polarization of $B_{s}\to K^{*-}\rho^{+}$ decay without conflict with all related data within $2\sigma$ ranges. Near future experiments at Fermi Lab and CERN LHC-b can test our predictions and shrink/reveal the mass insertion parameter spaces.
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How the literature uses it
1 arXiv paper cite this in 1 sentence
What it cites · 42 sentences without a confident label
Uses the method or tool of 3 papers
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With the weak effective Hamiltonian given in Eq. ([ref]), one can write the decay amplitudes for the relevant two-body hadronic $B→M_1M_2$ decays as [equation] The essential theoretical difficulty for obtaining the decay amplitude arises from the evaluation of hadronic matrix elements $⟨M_1M_2|Q_i(μ)|B⟩$, for which we will employ the QCDF [ref] throughout this paper.
QCD Factorization for $B\to\pi\pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit · The decay amplitudes in the SM · 1.00
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In this paper, we work in the usual MI approximation [ref] , and consider $B_s→K^(*)-π^+$, $K^(*)-ρ^+$ decays, in general SUSY models, where flavor violation due to the gluino mediation can be important.
A complete analysis of FCNC and CP constraints in general SUSY extensions of the standard model · Introduction · 0.93
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The SUSY Wilson coefficients at low energy $C^SUSY_i(μ∼m_b)$ can be obtained from $C^SUSY_i(m_q̃)$ in Eq. ([ref]) by using the renormalization group equation as discussed in Ref. [ref] [equation] where $C$ is the $6×1$ column vector of the Wilson coefficients and $U_5(μ, m_q̃)$ is the five-flavor $6×6$ evolution matrix.
Weak Decays Beyond Leading Logarithms · SUSY effects in the decays · 0.98
Uses data or values from 6 papers
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We will use the QCDF amplitudes of these decays derived in the comprehensive papers [ref] as inputs for the SM amplitudes.
QCD factorization for B->PP and B->PV decays · The decay amplitudes in the SM · 0.81
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We will use the QCDF amplitudes of these decays derived in the comprehensive papers [ref] as inputs for the SM amplitudes.
Branching fractions, polarisation and asymmetries of B -> VV decays · The decay amplitudes in the SM · 0.81
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In Ref. [ref] , $|(δ_LR,RL^d)_13|≤0.07, 0.08, 0.11$ for $x=0.25, 1, 4$, respectively, which are constrained by imposing the experimental bounds from $ΔM_d$ and $S_ψK_S$ within $1σ$ ranges, setting $m_q̃=500$ GeV and scanning over the CKM phase $γ∈[0,2π]$.
B_d-Bbar_d Mixing and the B_d -> J/psi K_s Asymmetry in General SUSY Models · Numerical results and analysis · 0.97
Compares with 10 papers
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In the case of $x=0.25$ and $x=1$, comparing with the exist bounds in [ref] , our upper limits of $|(δ_LR,RL^d)_13|$ are at the same order of previous ones, while the lower limits of $|(δ_LR,RL^d)_13|$ are also given from $B_s →K^-π^+$ decay within $2σ$ ranges.
Anatomy and Phenomenology of FCNC and CPV Effects in SUSY Theories · Numerical results and analysis · 1.00
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In the case of $x=0.25$ and $x=1$, comparing with the exist bounds in [ref] , our upper limits of $|(δ_LR,RL^d)_13|$ are at the same order of previous ones, while the lower limits of $|(δ_LR,RL^d)_13|$ are also given from $B_s →K^-π^+$ decay within $2σ$ ranges.
B, D and K decays · Numerical results and analysis · 1.00
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In the case of $x=0.25$ and $x=1$, comparing with the exist bounds in [ref] , our upper limits of $|(δ_LR,RL^d)_13|$ are at the same order of previous ones, while the lower limits of $|(δ_LR,RL^d)_13|$ are also given from $B_s →K^-π^+$ decay within $2σ$ ranges.
B_d-Bbar_d Mixing and the B_d -> J/psi K_s Asymmetry in General SUSY Models · Numerical results and analysis · 1.00
Cites as background 14 papers
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The decays $B_s→K^(*)-π^+$, $K^(*)-ρ^+$ have been extensively studied in the literatures (for example, Refs. [ref] ).
B_s\to K^{(*)-}K^{(*)+}, K^{(*)-}\pi^{+}, K^{(*)-}\rho^{+} decays in R-parity violating supersymmetry · Introduction · 1.00
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The decays $B_s→K^(*)-π^+$, $K^(*)-ρ^+$ have been extensively studied in the literatures (for example, Refs. [ref] ).
Analysis of $B_{s} \to KK$ decays in the PQCD · Introduction · 1.00
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The decays $B_s→K^(*)-π^+$, $K^(*)-ρ^+$ have been extensively studied in the literatures (for example, Refs. [ref] ).
QCD factorization for B->PP and B->PV decays · Introduction · 1.00
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