Global parameterization of $\pi \pi$ scattering up to 2 GeV

Abstract

We provide global parameterizations of $\pi \pi$ scattering $S0$ and $P$ partial waves up to roughly 2 GeV for phenomenological use. These parameterizations describe the output and uncertainties of previous partial-wave dispersive analyses of $\pi \pi$, both in the real axis up to 1.12 GeV and in the complex plane within their applicability region, while also fulfilling forward dispersion relations up to 1.43 GeV. Above that energy we just describe the available experimental data. Moreover, the analytic continuations of these global parameterizations also describe accurately the dispersive determinations of the $\sigma /f_0(500)$, $f_0(980)$ and $\rho (770)$ pole parameters.

arXiv comment18 pages, 8 figures

References in corpus (37)

• ππscattering
• N/D Description of Two Meson Amplitudes and Chiral Symmetry
• Two-pion contribution to hadronic vacuum polarization
• Mass and width of the lowest resonance in QCD
• The pion-pion scattering amplitude. IV: Improved analysis with once subtracted Roy-like equations up to 1100 MeV
• From controversy to precision on the sigma meson: a review on the status of the non-ordinary $f_0(500)$ resonance
• Roy equation analysis of pi pi scattering
• Scattering processes and resonances from lattice QCD
• The inverse amplitude method in Chiral Perturbation Theory
• Meson-meson scattering within one loop Chiral Perturbation Theory and its unitarization
• Roy-Steiner-equation analysis of pion-nucleon scattering
• The Status of Glueballs
• Precise Measurement of the e+ e- --> pi+ pi- (gamma) Cross Section with the Initial-State Radiation Method at BABAR
• A new analysis of $\pi K$ scattering from Roy and Steiner type equations
• Precise determination of the f0(600) and f0(980) pole parameters from a dispersive data analysis
• Bethe-Salpeter Approach for Unitarized Chiral Perturbation Theory
• A global fit of $\pi \pi$ and $\pi K$ elastic scattering in ChPT with dispersion relations
• Regge analysis of the pi pi scattering amplitude
• Isoscalar $\pi \pi ,K\overline{K},\eta \eta$ scattering and the $\sigma ,f_0,f_2$ mesons from QCD
• The pion-pion scattering amplitude
• Light scalars as tetraquarks or two-meson states from large Nc and unitarized Chiral Perturbation Theory
• The pion-pion scattering amplitude. III: Improving the analysis with forward dispersion relations and Roy equations
• A new Parameterization for the Pion Vector Form Factor
• Separation of S- wave pseudoscalar and pseudovector amplitudes in pi^- p---> pi^+ pi^- n reaction on polarized target
• Analysis and interpretation of new low-energy Pi-Pi scattering data
• Couplings of light I=0 scalar mesons to simple operators in the complex plane
• Experimental status of the $\pi \pi$ isoscalar S wave at low energy: $f_0(600)$ pole and scattering length
• Roy-Steiner equations for pion-nucleon scattering
• Elimination of ambiguities in pion-pion phase shifts using crossing symmetry
• Finding the sigma pole by analytic extrapolation of $\pi \pi$ scattering data
• Strange resonance poles from $K\pi$ scattering below 1.8 GeV
• Precise determination of resonance pole parameters through Padé approximants
• On the precision of chiral-dispersive calculations of $\pi \pi$ scattering
• On the uncertainty estimates of the $\sigma$-pole determination by Padé approximants
• Self-consistent statistical error analysis of $\pi \pi$ scattering
• Dispersion relations with crossing symmetry for pipi D and F wave amplitudes
• Determination of SU(2) Chiral Perturbation Theory low energy constants from a precise description of pion-pion scattering threshold parameters

Cited by in corpus (32)

• $I=3$ three-pion scattering amplitude from lattice QCD
• Interpretation of structure in the di-$J/\psi$ spectrum
• Novel approaches in Hadron Spectroscopy
• Pole position of the $a_1(1260)$ resonance in a three-body unitary framework
• Scalar mesons and the fragmented glueball
• A Framework for Hadronic Rescattering in pp Collisions
• Final-state interactions in the CP asymmetries of charm-meson two-body decays
• Light- and strange-quark mass dependence of the $\rho (770)$ meson revisited
• Data-driven dispersive analysis of the $\pi \pi$ and $\pi K$ scattering
• Systematizing and addressing theory uncertainties of unitarization with the Inverse Amplitude Method
• What can we learn about light-meson interactions at electron-positron colliders?
• Enhanced charm CP asymmetries from final state interactions
• The f0(1370) controversy from dispersive meson-meson scattering data analyses
• From pole parameters to line shapes and branching ratios
• Global parametrizations of $\pi \pi$ scattering with dispersive constraints: Beyond the S0 wave
• Note on the definitions of branching ratios of overlapping resonances
• Scalar mesons in the chiral theory with quark degrees of freedom
• Dispersive $\pi \pi \to K\bar{K}$ amplitude and giant CP violation in B to three light-meson decays at LHCb
• Analytical dispersive parameterization for elastic scattering of spinless particles
• Prospects for ${\gamma }^{\star }{\gamma }^{\star }\to \pi \pi$ via lattice QCD
• Khuri-Treiman analysis of $J/\psi \to {\pi }^{+}{\pi }^{-}{\pi }^0$
• Multibody decay analyses -- a new phenomenological model for meson-meson subamplitudes
• Amplitude analysis of the $D_s^{+}\to {\pi }^{-}{\pi }^{+}{\pi }^{+}$ decay
• Measurement of exclusive pion pair production in proton-proton collisions at $\sqrt{s}=7$ TeV with the ATLAS detector
• The Relativistic Cornell-type Mechanism of Exotic Scalar Resonances
• The $\pi \pi$ scattering amplitude at large $N_{\text{c}}$
• Assessing the role of threshold conditions in the determination of uncertainties in pole extractions using Padé approximants
• Dispersive determination of resonances from $\pi \pi$ scattering data
• Non-diagonal DVCS and transition GPDs: A unified framework for spinless hadron case ${\gamma }^{\ast }\pi \to \gamma \pi \pi$
• Precision dispersive approaches versus unitarized Chiral Perturbation Theory for the lightest scalar resonances $\sigma /f_0(500)$ and $\kappa /K_0^{\ast }(700)$
• Subthreshold parameters of $\pi \pi$ scattering revisited
• Hadronic Rescattering in pA and AA Collisions