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The process $e^+e^-\to \pi^+\pi^-\pi^0\gamma$ is studied at a center-of-mass energy near the $\Upsilon(4S)$ resonance using a data sample of 469 fb$^{-1}$ collected with the BABAR detector at the PEP-II collider. We have performed a precise…

High Energy Physics - Experiment · Physics 2021-11-15 The BABAR Collaboration

We present a detailed analysis of $e^+e^-\to\pi^+\pi^-$ data up to $\sqrt{s}=1\,\text{GeV}$ in the framework of dispersion relations. Starting from a family of $\pi\pi$ $P$-wave phase shifts, as derived from a previous Roy-equation analysis…

High Energy Physics - Phenomenology · Physics 2019-02-06 Gilberto Colangelo , Martin Hoferichter , Peter Stoffer

We address the contribution of the $3\pi$ channel to hadronic vacuum polarization (HVP) using a dispersive representation of the $e^+e^-\to 3\pi$ amplitude. This channel gives the second-largest individual contribution to the total HVP…

High Energy Physics - Phenomenology · Physics 2019-09-04 Martin Hoferichter , Bai-Long Hoid , Bastian Kubis

The situation of the experimental data used in the dispersive evaluation of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon is assessed in view of two recent measurements: $e^+e^- \to \pi^+\pi^-$…

High Energy Physics - Phenomenology · Physics 2024-07-24 M. Davier , A. Hoecker , A. M. Lutz , B. Malaescu , Z. Zhang

We present a phenomenological model for the $\gamma\gamma \to \pi^+\pi^-\pi^0$ reaction by including the production mechanism of the $a_2(1320)$ resonance, as well as the contributions from the $\sigma/f_0(500)\, \pi^0$ and $f_2(1270)\,…

High Energy Physics - Phenomenology · Physics 2023-03-29 Xiu-Lei Ren , Igor Danilkin , Marc Vanderhaeghen

In this work we focus on the evaluation of the leading-order hadronic vacuum polarization contribution from the $\pi\pi$ channel to the muon anomalous magnetic moment $a_\mu$ by using the experimental $\tau\to\pi\pi\nu_\tau$ data. The…

High Energy Physics - Phenomenology · Physics 2025-10-07 Zhi-Xin Li , Ao Li , Jin Hao , Chun-Gui Duan , Zhi-Hui Guo

The discrepancy on the muon anomalous magnetic moment values obtained via a direct measurement and via a data-driven theory determination that uses the experimentally measured hadronic cross section, is among the long standing and most…

High Energy Physics - Experiment · Physics 2026-01-21 Zhiqing Zhang

We study the effect of rho^0-gamma mixing in e^+e^- to pi^+pi^- and its relevance for the comparison of the square modulus of the pion from-factor |F^(e)_pi|^2, as measured in e^+e^- annihilation experiments, and |F^(tau)_pi|^2 the…

High Energy Physics - Phenomenology · Physics 2015-03-17 Fred Jegerlehner , Robert Szafron

A new evaluation of the hadronic vacuum polarization contribution to the muon magnetic moment is presented. We take into account the reanalysis of the low-energy e+e- annihilation cross section into hadrons by the CMD-2 Collaboration. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Davier , S. Eidelman , A. Hocker , Z. Zhang

We present a unified picture which studies simultaneously the gamma gamma--> pi^+ pi^-, pi^0 pi^0,K^+ K^-, K^0 bar{K}^0, pi^0 eta reactions up to about sqrt(s)=1.4 GeV reproducing the experimental cross sections. The present work implements…

High Energy Physics - Phenomenology · Physics 2010-11-15 J. A. Oller , E. Oset

The process $e^+e^- \to \pi^+\pi^-2\pi^0\gamma$ is investigated by means of the initial-state radiation technique, where a photon is emitted from the incoming electron or positron. Using $454.3 \rm{fb}^{-1}$ of data collected around a…

High Energy Physics - Experiment · Physics 2017-12-06 The BaBar Collaboration

We consider the subleading contributions of the hadronic vacuum polarization, involving the $\pi^0\gamma^*\gamma^*$ transition form factor, to the muon anomalous magnetic moment $g-2$. Various models for the form factor, based on hadronic…

High Energy Physics - Phenomenology · Physics 2018-02-14 Deog Ki Hong , Du Hwan Kim , Jong-Wan Lee

We present consistent theoretical descriptions of the $\pi N \to e^+e^- N$ and $\gamma N \to e^+e^- N$ reactions on proton and neutron targets for total center of mass energies $\sqrt s$ ranging between 1.50 GeV and 1.75 GeV. These…

Nuclear Theory · Physics 2007-05-23 Madeleine Soyeur , Matthias F. M. Lutz

We report on a precision measurement of the cross section for the reaction $e^+e^-\to\pi^+\pi^-$ in the mass range $0.30<M_{\pi\pi}<1.00$ GeV with the initial state radiation (ISR) method, using 817 pb$^{-1}$ of data at $e^+e^-$…

High Energy Physics - Experiment · Physics 2018-03-07 T. Xiao , S. Dobbs , A. Tomaradze , Kamal K. Seth , G. Bonvicini

The pion form factor plays a crucial role in the determination of the contribution of the hadronic vacuum polarisation to the muon anomalous magnetic moment. In order to measure this quantity, energy-scan experiments rely on Monte Carlo…

High Energy Physics - Phenomenology · Physics 2025-12-23 Francesco P. Ucci

We perform a new calculation of the hadronic contributions, $a({\rm Hadronic})$ to the anomalous magnetic moment of the muon, $a_\mu$. For the low energy contributions of order $\alpha^2$ we carry over an analysis of the pion form factor…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. F. de Troconiz , F. J. Yndurain

We present a unified picture which studies simultaneously the gamma gamma-->pi^+ pi^-, pi^0 pi^0, K^+ K^-, K^0 bar{K}^0, pi^0 eta reactions up to about sqrt(s)=1.4 GeV reproducing the experimental cross sections. The present work implements…

High Energy Physics - Phenomenology · Physics 2010-11-15 J. A. Oller , E. Oset

Precise data on e^+e^- to hadrons have recently become available and are used to compute the lowest-order hadronic vacuum polarisation contribution to the muon magnetic anomaly through dispersion relations. This is the case for the dominant…

High Energy Physics - Phenomenology · Physics 2017-02-13 Michel Davier

We present a theoretical study of the $\gamma\gamma^{*} \to \pi^+\pi^-, \pi^0\pi^0$ processes from the threshold through the $f_2(1270)$ region in the $\pi\pi$ invariant mass. We adopt the Omn\`es representation in order to account for…

High Energy Physics - Phenomenology · Physics 2019-01-23 Igor Danilkin , Marc Vanderhaeghen
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