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Hadronic $\tau$ decays present an opportunity to determine the isovector part of the hadronic-vacuum-polarization contribution to the anomalous magnetic moment of the muon in a way complementary to $e^+e^-\to\text{hadrons}$ cross sections.…

High Energy Physics - Phenomenology · Physics 2026-02-18 Gilberto Colangelo , Martina Cottini , Martin Hoferichter , Simon Holz

I review recent estimates of the non-perturbative hadronic vacuum polarization contributions. Since these at present can only be evaluated in terms of experimental data of limited precision, the related uncertainties pose a serious…

High Energy Physics - Phenomenology · Physics 2009-11-10 F. Jegerlehner

We discuss the decay tau^- -> nu_tau pi^- pi^0 gamma in terms of a model with the correct low-energy structure and with the relevant resonance degress of freedom. The nontrivial radiative dynamics becomes visible for large photon momenta…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. Cirigliano , G. Ecker , H. Neufeld

We perform an updated analysis of $e^+e^-\to\pi^+\pi^-$ cross-section data using a dispersive representation of the pion vector form factor. We show that the available data are compatible with the assumption that the form factor is free of…

High Energy Physics - Phenomenology · Physics 2025-01-17 Thomas P. Leplumey , Peter Stoffer

The Standard Model prediction for the magnetic moment of the muon requires a determination of the electromagnetic form factor of the pion at high precision. It is shown that the recent progress in pi-pi scattering allows us to obtain an…

High Energy Physics - Phenomenology · Physics 2017-08-23 H. Leutwyler

Sum rule tests are performed on the spectral data for (i) flavor 'ud' vector- current-induced hadronic tau decays and (ii) e^+ e^- hadroproduction, in the region below s~3-4 GeV^2, where discrepancies exist between the isospin-…

High Energy Physics - Phenomenology · Physics 2009-11-11 Kim Maltman

The evaluation of the hadronic contribution to the muon magnetic anomaly a_mu is reviewed, including a new estimate using precise results on the pi+pi- spectral function from the KLOE Collaboration. It is found that the KLOE data confirm to…

High Energy Physics - Phenomenology · Physics 2017-08-23 Andreas Hocker

We study the implications of several recent high-precision measurements of the pion form factor in the region of the rho-omega interference "shoulder" for (i) the extraction of the rho-omega mixing matrix element, Pi_{\rho\omega}(m_rho^2),…

High Energy Physics - Phenomenology · Physics 2010-04-30 C. E. Wolfe , K. Maltman

The recent precise measurements of the $e^+e^-\to K_SK_L$ and $e^+e^-\to K^+K^-$ cross sections and the hadronic spectral function of the $\tau^-\to K^-K_S\nu_\tau$ decay are used to extract the isoscalar and isovector electromagnetic kaon…

High Energy Physics - Phenomenology · Physics 2020-01-08 K. I. Beloborodov , V. P. Druzhinin , S. I. Serednyakov

Recent calculations of the hadronic vacuum polarisation contribution are reviewed. The focus is put on the leading-order contribution to the muon magnetic anomaly involving $e^+e^-$ annihilation cross section data as input to a dispersion…

High Energy Physics - Phenomenology · Physics 2016-06-22 Zhiqing Zhang

We calculate the leading isospin-violating and electromagnetic corrections for the decay tau --> pi^0 pi nu_tau at low energies. The corrections are small but relevant for the inclusion of tau decay data in the determination of hadronic…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Cirigliano , G. Ecker , H. Neufeld

Hadronic spectral functions of $\tau$ decays have been used in the past to provide an alternative determination of the LO Hadronic Vacuum Polarization relevant for the (g-2) of the muon. Following recent developments and results in Lattice…

High Energy Physics - Lattice · Physics 2018-11-02 Mattia Bruno , Taku Izubuchi , Christoph Lehner , Aaron Meyer

In this letter, we address the question of whether the almost four standard deviations difference between theory and experiment for the muon anomalous magnetic moment $a_\mu$ can be explained as a higher-order Standard Model perturbation…

High Energy Physics - Phenomenology · Physics 2019-10-16 Francisco Campanario , Henryk Czyż , Janusz Gluza , Tomasz Jeliński , Germán Rodrigo , Szymon Tracz , Dmitry Zhuridov

Two aspects of isospin breaking in the decay $K^\pm \to \pi^0 \pi^0 e^\pm \stackrel{_{(-)}}{\nu_e}$ are studied and discussed. The first addresses the possible influence of the phenomenological description of the unitarity cusp on the…

High Energy Physics - Phenomenology · Physics 2015-01-29 Véronique Bernard , Sébastien Descotes-Genon , Marc Knecht

We review the tau data-driven computation of Euclidean windows for the hadronic vacuum polarization contribution to the muon anomalous magnetic moment (a_mu), which agree with the lattice results, making the difference of the $e^+e^-$…

High Energy Physics - Phenomenology · Physics 2025-07-24 Pere Masjuan , Alejandro Miranda , Pablo Roig

Hadronic decays of the $\tau$ lepton provide a clean environment to study hadron dynamics in an energy regime dominated by resonances. The interesting information is captured in the spectral functions. Recent results from ALEPH on exclusive…

High Energy Physics - Experiment · Physics 2014-11-17 Michel Davier

We have reevaluated the hadronic contribution to the anomalous magnetic moment of the muon (g-2) and to the running of the QED fine structure constant alpha(s) at s=M_Z**2. We incorporated new data from hadronic tau decays, recently…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Alemany , M. Davier , A. Hocker

A way to explain the puzzling difference between the pion form factor as measured in e+ e- annihilations and in tau decays is discussed. We show that isospin symmetry breaking, beside the already identified effects, produces also a full…

High Energy Physics - Phenomenology · Physics 2008-05-14 Maurice Benayoun

The pion pair production in $e^+ e^-$ annihilation at flavour factories plays a crucial role in the determination of the hadronic contribution to the muon anomalous magnetic moment. The recent CMD-3 measurement of the pion form factor via…

High Energy Physics - Phenomenology · Physics 2025-06-03 E. Budassi , C. M. Carloni Calame , M. Ghilardi , A. Gurgone , G. Montagna , M. Moretti , O. Nicrosini , F. Piccinini , F. P. Ucci

We compute the radiative corrections to the process of two-pion production in association with a hard photon in $e^+ e^-$ annihilation by taking into account the non-perturbative structure of the pion in the one-loop calculation. For this…