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The mass of the sigma pole
High Energy Physics - Phenomenology · Submitted 7 Aug 2006
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Adding freedom to accomodate these uncertainties gives an optimum compromise with a pole position of 472 +- 30 - i(271 +- 30) MeV.
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
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The abstract, sentence by sentence
BES data on the sigma pole are refitted taking into account new information on coupling of sigma to KK and eta-eta. The fit also includes Cern-Munich data on pi-pi elastic phases shifts and Ke4 data, and gives a pole position of 500 +- 30 - i(264 +- 30) MeV. However, there is a clear discrepancy with the sigma pole position recently predicted by Caprini et al. using the Roy equation. This discrepancy may be explained naturally by uncertainties arising from inelasticity in KK and eta-eta channels and mixing between sigma and f0(980). Adding freedom to accomodate these uncertainties gives an optimum compromise with a pole position of 472 +- 30 - i(271 +- 30) MeV.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | BES data on the sigma pole are refitted taking into account new information on coupling of sigma to KK and eta-eta. | contribution 0.64 | 0.81 | 0.07 | asserted 0.99 |
| s1 | The fit also includes Cern-Munich data on pi-pi elastic phases shifts and Ke4 data, and gives a pole position of 500 +- 30 - i(264 +- 30) MeV. | result 0.90 | 0.88 | 0.34 | asserted 1.00 |
| s2 | However, there is a clear discrepancy with the sigma pole position recently predicted by Caprini et al. using the Roy equation. | result 0.43 | 0.30 | 0.08 | asserted 1.00 |
| s3 | This discrepancy may be explained naturally by uncertainties arising from inelasticity in KK and eta-eta channels and mixing between sigma and f0(980). | interpretation 1.00 | 0.31 | 0.17 | hedged possibility 1.00 |
| s4 | Adding freedom to accomodate these uncertainties gives an optimum compromise with a pole position of 472 +- 30 - i(271 +- 30) MeV. | result 1.00 | 0.86 | 0.53 | asserted 0.98 |
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The paper
Original abstract
BES data on the sigma pole are refitted taking into account new information on coupling of sigma to KK and eta-eta. The fit also includes Cern-Munich data on pi-pi elastic phases shifts and Ke4 data, and gives a pole position of 500 +- 30 - i(264 +- 30) MeV. However, there is a clear discrepancy with the sigma pole position recently predicted by Caprini et al. using the Roy equation. This discrepancy may be explained naturally by uncertainties arising from inelasticity in KK and eta-eta channels and mixing between sigma and f0(980). Adding freedom to accomodate these uncertainties gives an optimum compromise with a pole position of 472 +- 30 - i(271 +- 30) MeV.
Human review
How the literature uses it
6 arXiv papers cite this in 8 sentences
Papers citing it · 3 sentences without a confident label
Uses its method or tool 3 papers
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Following Ref. [ref] , the lineshape $𝒜_S(p^2)$ is the one of Bugg [ref] , which is data-driven (and in particular includes small Zweig-violating effects);
$S$-wave contribution to rare $D^0 \to \pi^+ \pi^- \ell^+ \ell^-$ decays in the Standard Model and sensitivity to New Physics · Implementation of the $π^+π^-$ $S$-wave contribution · 0.88
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the centrifugal barrier factors defined in Eq. ([ref]) substantially, replacing $f_0(500)$ model by a Bugg function [ref] and using the alternative Gounaris and Sakurai Model [ref] for the various $ρ$ mesons.
Measurement of the resonant and CP components in $\overline{B}^0\rightarrow J/\psi \pi^+\pi^-$ decays · Systematic uncertainties · 0.90
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The default used a Breit-Wigner resonance shape, with relatively poorly measured parameters, while the alternate used a function suggested by Bugg [ref] , with more theoretically motivated shape parameters.
Measurement of the CP-violating phase $\beta$ in $B^0\rightarrow J/\psi \pi^+\pi^-$ decays and limits on penguin effects · Measurements of 2$β^eff$ · 0.88
Uses its data or values 1 paper
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Such a broad state leaves its footprints in the rescattering of pion pairs [ref] ; note that the PDG [ref] mini-review on scalar mesons below $1$ GeV quotes for the $σ$ pole position the value $(449^+22_-16) - i (275 ±12)$ MeV stemming from “the most advanced dispersive analyses”, which is a precision better than 5%.
$S$-wave contribution to rare $D^0 \to \pi^+ \pi^- \ell^+ \ell^-$ decays in the Standard Model and sensitivity to New Physics · Introduction · 0.96
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