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A new parametrization for the scalar pion form factors

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arxiv 1809.06867 v2 pith:OBS73K2D submitted 2018-09-18 hep-ph hep-exnucl-th

classification hep-phhep-exnucl-th
keywords scalardatafactorsformparametrizationpiontextaddition
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We derive a new parametrization for the scalar pion form factors that allows us to analyze data over a large energy range via the inclusion of resonances, and at the same time to ensure consistency with the high-accuracy dispersive representations available at low energies. As an application the formalism is used to extract resonance properties of excited scalar mesons from data for $\bar B^0_s\to J/\psi \pi\pi$. In particular we find for the pole positions of $f_0(1500)$ and $f_0(2020)$ $1465\pm 18 - i (50\pm 9)\,\text{MeV}$ and $1910\pm 50 - i(199\pm 40)\,\text{MeV}$, respectively. In addition, from their residues we calculate the respective branching ratios into $\pi\pi$ to be $(58\pm31)\%$ and $(1.3\pm1.8)\%$.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Dispersive analysis of the $J/\psi\to\pi^0 \gamma^\ast$ transition form factor with $\rho$-$\omega$ mixing effects

    hep-ph 2025-11 unverdicted novelty 7.0 of 10

    Dispersive analysis with ρ-ω mixing produces a two-parameter fit describing BESIII data on the J/ψ→π⁰γ* form factor from 0 to 2.8 GeV and extracts a (62 ± 21)° relative phase between strong and electromagnetic modes.

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    Adding the a1(1260)pi cascade to the Standard Model isobar description of D0 -> pi+ pi- l+ l- substantially improves agreement with LHCb data and changes several angular observables.

  3. Extracting the chiral anomaly from $e^+e^-\to 3\pi$

    hep-ph 2025-04 conditional novelty 6.0 of 10

    A dispersive fit to e+e−→3π data yields F3π = 33.1(1.7) GeV^-3, consistent with the chiral anomaly prediction at the 5% level.

  4. A dispersive method to study CP asymmetries in hadronic multi-body $B$ decays

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    The large localized CP asymmetry in B±→K±π+π− arises from a dip in the CP-conserving rate, not enhanced CP violation, and the non-resonant isospin-2 S-wave is essential — per a 13-parameter dispersive fit to LHCb's an...

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    A future Super Tau-Charm Facility is projected to test CP violation in hyperon, tau, and charm decays at 1e-4 to 1e-3 sensitivities and improve the kaon CPT mass-difference limit tenfold.

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