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Meson-meson scattering within one loop Chiral Perturbation Theory and its unitarization

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arxiv hep-ph/0109056 v2 pith:SEHKREVX submitted 2001-09-07 hep-ph nucl-th

classification hep-phnucl-th
keywords chiralscatteringperturbationtheoryamplitudesmeson-mesonmethodprevious
verification ladder T0 review T1 audit T2 compute T3 formal
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We present the complete one-loop calculation of all the two meson scattering amplitudes within the framework of SU(3) Chiral Perturbation Theory, which includes pions, kaons and the eta. In addition, we have unitarized these amplitudes with the coupled channel Inverse Amplitude Method, which ensures simultaneously the good low energy properties of Chiral Perturbation Theory and unitarity. We show how this method provides a remarkable description of meson-meson scattering data up to 1.2 GeV including the scattering lengths and the generation of seven light resonances, which is consistent with previous determination of the chiral parameters. Particular attention is paid to discuss the differences and similarities of this work with previous analysis in the literature.

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Cited by 8 Pith papers

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

  1. Rigorous Roy-Steiner equation analysis of $\pi K$ scattering at unphysical quark masses

    hep-ph 2024-12 conditional novelty 7.0 of 10

    At a pion mass of 391 MeV, dispersive Roy-Steiner analysis finds K0*(700) is a broad resonance, not a virtual state, when crossed-channel dynamics are included.

  2. The $a_1(1420)$ in a Unitary Coupled-Channel Three-Body Approach

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    Unitary coupled-channel three-body model fitted to COMPASS data reproduces the a1(1420) enhancement via triangle singularity, indicating no genuine resonance pole is required.

  3. Resolving the CP Asymmetry Puzzle in $B$ Decays with Unitarized Final-State Interactions

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    A unitarized FSI framework with no adjustable parameters for B decays, calibrated on BaBar γγ o D Dbar data, predicts enhanced CP asymmetries in pure-annihilation channels that match existing measurements.

  4. Coupled-channel approach to isotensor $\pi\pi\pi$ scattering from lattice QCD

    hep-lat 2026-01 conditional novelty 6.0 of 10

    The I=2 three-pion spectrum from lattice QCD is described by a repulsive rho-pi S-wave interaction, consistent with a leading-order effective Lagrangian.

  5. Revisiting Roy-Steiner-equation analysis of pion-kaon scattering from lattice QCD data

    hep-ph 2025-06 conditional novelty 6.0 of 10

    A Roy-Steiner dispersive analysis of lattice QCD pion-kaon data at m_pi = 391 MeV finds the κ resonance at (966-i198) MeV, a broad resonance rather than the virtual-state pole reported in K-matrix analyses.

  6. Global parametrizations of $\pi\pi$ scattering with dispersive constraints: Beyond the S0 wave

    hep-ph 2024-12 conditional novelty 6.0 of 10

    New global, dispersion-constrained parametrizations for the S2, P, D, F, and G pion-pion partial waves, valid to roughly 1.8 to 2.1 GeV.

  7. Doubly charmed baryon-light meson scattering in chiral effective theory with lattice constraints

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    Chiral EFT with lattice-fitted LECs and unitarization predicts resonance, virtual, and bound states plus scattering parameters for doubly charmed baryon-meson systems at physical quark masses.

  8. Machine learning unveils the quark mass dependence of the pseudoscalar meson decay constants in three-flavour N$^2$LO ChPT

    hep-ph 2026-06 unverdicted novelty 5.0 of 10

    LASSO regression on LQCD data determines quark-mass dependence of f_π, f_K, f_η in N²LO three-flavor ChPT and supplies LECs for SU(3)-limit baryon mass predictions.

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