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Impact of Family Non-universal $Z^\prime$ Boson on Pure Annihilation $B_s \to \pi^+ \pi^-$ and $B_d \to K^+ K^-$ Decays
High Energy Physics - Phenomenology · Submitted 28 Feb 2015
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Taking into account the $Z^\prime$ contribution, we find theoretical results for branching fractions can better accommodate the data.
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The abstract, sentence by sentence
We study the $B_s \to \pi^+ \pi^-$ and $B_d \to K^+ K^-$ decays in the standard model and the family non-universal $Z^\prime$ model. Since none of the quarks in final states is the same as the initial quark, these decay modes can occur only via power-suppressed annihilation diagrams. Despite the consistence of the standard model prediction with the available data, there is a surviving room for a light $Z^\prime$ boson. Taking into account the $Z^\prime$ contribution, we find theoretical results for branching fractions can better accommodate the data. With the relevant data, we also derive a constraint on the parameter space for the $Z^\prime$. Moreover, for the $B_d \to K^+ K^-$, both the direct and the mixing-induced $CP$ asymmetry are sensitive to the couplings between $Z^\prime$ and fermions in the parameter spaces constrained by data. The measurements at future experimental facilities, including the LHC-b, Belle-II and the proposed high energy $e^+e^-$ collider, will provide us useful hints for direct searching for the light $Z^\prime$ boson.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the $B_s \to \pi^+ \pi^-$ and $B_d \to K^+ K^-$ decays in the standard model and the family non-universal $Z^\prime$ model. | contribution 0.99 | 0.88 | 0.04 | asserted 0.90 |
| s1 | Since none of the quarks in final states is the same as the initial quark, these decay modes can occur only via power-suppressed annihilation diagrams. | background 1.00 | 0.11 | 0.03 | asserted 1.00 |
| s2 | Despite the consistence of the standard model prediction with the available data, there is a surviving room for a light $Z^\prime$ boson. | gap 0.59 | 0.16 | 0.26 | hedged possibility 0.54 |
| s3 | Taking into account the $Z^\prime$ contribution, we find theoretical results for branching fractions can better accommodate the data. | result 0.98 | 0.95 | 0.53 | asserted 0.93 |
| s4 | With the relevant data, we also derive a constraint on the parameter space for the $Z^\prime$. | result 0.86 | 0.95 | 0.11 | asserted 1.00 |
| s5 | Moreover, for the $B_d \to K^+ K^-$, both the direct and the mixing-induced $CP$ asymmetry are sensitive to the couplings between $Z^\prime$ and fermions in the parameter spaces constrained by data. | result 0.96 | 0.83 | 0.14 | asserted 0.98 |
| s6 | The measurements at future experimental facilities, including the LHC-b, Belle-II and the proposed high energy $e^+e^-$ collider, will provide us useful hints for direct searching for the light $Z^\prime$ boson. | future work 0.95 | 0.08 | 0.12 | hedged possibility 0.72 |
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The paper
Original abstract
We study the $B_s \to \pi^+ \pi^-$ and $B_d \to K^+ K^-$ decays in the standard model and the family non-universal $Z^\prime$ model. Since none of the quarks in final states is the same as the initial quark, these decay modes can occur only via power-suppressed annihilation diagrams. Despite the consistence of the standard model prediction with the available data, there is a surviving room for a light $Z^\prime$ boson. Taking into account the $Z^\prime$ contribution, we find theoretical results for branching fractions can better accommodate the data. With the relevant data, we also derive a constraint on the parameter space for the $Z^\prime$. Moreover, for the $B_d \to K^+ K^-$, both the direct and the mixing-induced $CP$ asymmetry are sensitive to the couplings between $Z^\prime$ and fermions in the parameter spaces constrained by data. The measurements at future experimental facilities, including the LHC-b, Belle-II and the proposed high energy $e^+e^-$ collider, will provide us useful hints for direct searching for the light $Z^\prime$ boson.
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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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Various theoretical predictions of the branching fractions of and decays are available in the literature [ref] .
Observation of the annihilation decay mode $B^{0}\to K^{+}K^{-}$ · Introduction · 0.97
What it cites · 18 sentences without a confident label
Contests 1 paper
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Furthermore, if we ignore the small $x_1$ (the momentum fraction of $s$ quark in the $B_s$ meson) in the denominators, $M_ann^LL$ is same as $M_ann^SP$,too [In Ref. [ref] , there are typos in eqs.(27) and (28).].
Revisiting the pure annihilation decays $B_s\to \pi^+ \pi^-$ and $B^0 \to K^+ K^-$: the data and the pQCD predictions · SM Calculation · contest 0.90
Uses data or values from 1 paper
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Experimentally, the decay mode $B_s →π^+ π^-$ was firstly reported by the CDF collaboration [equation] and it was soon confirmed by the LHCb collaboration with $0.37 ^-1$ data as [equation] So, the averaged result is given as [ref] : [equation] The branching fraction of another pure annihilation decay mode $B_d →K^+ K^-$ has been also measured as [ref] : [equation]
Averages of b-hadron, c-hadron, and tau-lepton properties as of early 2012 · Introduction · 1.00
Compares with 1 paper
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For $B_s→π^+π^-$, both branching fraction and $CP$ asymmetry parameters agree with previous studies [ref] , and small differences are from the uncertainties of the CKM matrix elements.
Revisiting the pure annihilation decays $B_s\to \pi^+ \pi^-$ and $B^0 \to K^+ K^-$: the data and the pQCD predictions · SM Calculation · 1.00
Cites as background 8 papers
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Other effects of the FCNC in flavor physics have also been studied in past decades [ref] .
Probing Leptonic Interactions of a Family-Nonuniversal Z' Boson · Introduction · 0.96
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Other effects of the FCNC in flavor physics have also been studied in past decades [ref] .
Impact of $Z^{\prime}$ and UED parameters on different asymmetries in $B_{s} \to \phi \ell^{+} \ell^{-}$ decays · Introduction · 0.96
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Other effects of the FCNC in flavor physics have also been studied in past decades [ref] .
Constraints on the nonuniversal Z^\prime couplings from B\to\pi K, \pi K^{\ast} and \rho K Decays · Introduction · 0.96
Discussion
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