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Testing the Non-universal Z^\prime Model in Bs -> \phi \pi^0 Decay
High Energy Physics - Phenomenology · Submitted 12 Feb 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The enhancement of both branching ratio and CP asymmetry cannot be realized at the same parameter spaces, thus, if this decay mode is measured in the upcoming LHC-b experiment and/or Super B-factories, the peculiar deviation from the SM may provide a signal of the non-universal $Z^\prime$ model, which can be used to constrain the mass of $Z^\prime$ boson in turn.
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The abstract, sentence by sentence
The branching ratio and direct CP asymmetry of the decay mode $B_s \to \phi \pi^0$ have been calculated within the QCD factorization approach in both the standard model (SM) and the non-universal $Z^\prime$ model. In the standard model, the CP averaged branching ratio is about $1.3\times 10^{-7}$. Considering the effect of $Z^\prime$ boson, we found the branching ratio can be enlarged three times or decreased to one third %by the effect of $Z^\prime$ boson within the allowed parameter spaces. Furthermore, the direct CP asymmetry could reach 55% with a light $Z^\prime$ boson and suitable CKM phase, compared to 25% predicted in the SM. The enhancement of both branching ratio and CP asymmetry cannot be realized at the same parameter spaces, thus, if this decay mode is measured in the upcoming LHC-b experiment and/or Super B-factories, the peculiar deviation from the SM may provide a signal of the non-universal $Z^\prime$ model, which can be used to constrain the mass of $Z^\prime$ boson in turn.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The branching ratio and direct CP asymmetry of the decay mode $B_s \to \phi \pi^0$ have been calculated within the QCD factorization approach in both the standard model (SM) and the non-universal $Z^\prime$ model. | contribution 0.95 | 0.89 | 0.06 | asserted 1.00 |
| s1 | In the standard model, the CP averaged branching ratio is about $1.3\times 10^{-7}$. | result 1.00 | 0.75 | 0.04 | asserted 0.97 |
| s2 | Considering the effect of $Z^\prime$ boson, we found the branching ratio can be enlarged three times or decreased to one third %by the effect of $Z^\prime$ boson within the allowed parameter spaces. | result 1.00 | 0.94 | 0.15 | asserted 0.80 |
| s3 | Furthermore, the direct CP asymmetry could reach 55% with a light $Z^\prime$ boson and suitable CKM phase, compared to 25% predicted in the SM. | result 1.00 | 0.88 | 0.16 | hedged possibility 0.98 |
| s4 | The enhancement of both branching ratio and CP asymmetry cannot be realized at the same parameter spaces, thus, if this decay mode is measured in the upcoming LHC-b experiment and/or Super B-factories, the peculiar deviation from the SM may provide a signal of the non-universal $Z^\prime$ model, which can be used to constrain the mass of $Z^\prime$ boson in turn. | interpretation 0.99 | 0.79 | 0.88 | hedged possibility 0.95 |
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The paper
Original abstract
The branching ratio and direct CP asymmetry of the decay mode $B_s \to \phi \pi^0$ have been calculated within the QCD factorization approach in both the standard model (SM) and the non-universal $Z^\prime$ model. In the standard model, the CP averaged branching ratio is about $1.3\times 10^{-7}$. Considering the effect of $Z^\prime$ boson, we found the branching ratio can be enlarged three times or decreased to one third %by the effect of $Z^\prime$ boson within the allowed parameter spaces. Furthermore, the direct CP asymmetry could reach 55% with a light $Z^\prime$ boson and suitable CKM phase, compared to 25% predicted in the SM. The enhancement of both branching ratio and CP asymmetry cannot be realized at the same parameter spaces, thus, if this decay mode is measured in the upcoming LHC-b experiment and/or Super B-factories, the peculiar deviation from the SM may provide a signal of the non-universal $Z^\prime$ model, which can be used to constrain the mass of $Z^\prime$ boson in turn.
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How the literature uses it
8 arXiv papers cite this in 14 sentences
Papers citing it · 8 sentences without a confident label
Compares with it 1 paper
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With these inputs we obtain the branching ratio for this process as Br(B_s →ϕπ) = (1.26 ±0.32) ×10^-7 , which is consistent with the prediction of [ref] .
Study of some rare decays of B_s meson in the fourth generation model · $B_s →ϕπ$ Process · 0.98
Cites it as background 5 papers
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The relevant studies in the context of B physics have also been extensively performed in Refs. [ref] .
The effects of a family non-universal Z-prime boson on B--->pipi decays · Formalism of the family non-universal $Z^'$ model · 0.97
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The phenomenological effects of $Z^'$ in $B$ decays have been studied extensively [ref] .
Study of $B_s \to \phi (\rho^0, \omega)$ Decays in Standard Model and Family Non-universal $Z^\prime$ Model · Introduction · 0.89
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This has been considered to varying extents in the contexts of different models [ref] .
Connecting $b\to s\ell\bar\ell$ anomalies to enhanced rare nonleptonic $\bar{B}_s^0$ decays in $Z'$ model · Introduction · 0.84
What it cites · 9 sentences without a confident label
Uses the method or tool of 2 papers
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Following the standard procedure of QCD factorization approach, we can write the decay amplitude as [equation] where $⟨M_1M_2|O_i|B⟩_F$ is the factorizable matrix element, which can be factorized into a form factor times a decay constant, and the coefficients $a_i$ ($i=1$ to $10$) can be found in Refs. [ref] .
QCD factorization for B->PP and B->PV decays · Introduction · 0.99
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Following the standard procedure of QCD factorization approach, we can write the decay amplitude as [equation] where $⟨M_1M_2|O_i|B⟩_F$ is the factorizable matrix element, which can be factorized into a form factor times a decay constant, and the coefficients $a_i$ ($i=1$ to $10$) can be found in Refs. [ref] .
QCD Factorization for $B\to\pi\pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit · Introduction · 0.99
Compares with 2 papers
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Because we used the updated parameters, the branching ratio is slightly larger than that predicted in Ref. [ref] , and the CP asymmetry agrees with each other.
QCD factorization for B->PP and B->PV decays · Introduction · 0.97
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The results also agree with the predictions from the PQCD [ref] as well.
Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach · Introduction · 1.00
Cites as background 4 papers
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Above issues have been discussed widely in Ref. [ref] .
Constraints on flavor-changing Z' models by B_s mixing, Z' production, and B_s -> \mu^+ \mu^- · Introduction · 0.81
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The effects of $Z^'$ in $B$ sector have been investigated in a number of papers, such as Refs. [ref] .
Z' Mediated Flavor Changing Neutral Currents in B Meson Decays · Introduction · 0.93
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Additional $U(1)^'$ gauge symmetries and associated $Z^'$ gauge bosons [ref] could appear in several well motivated extensions of the SM.
Flavor Changing Effects in Theories with a Heavy Z' Boson with Family Non-Universal Couplings · Introduction · 0.98
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