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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

The complete one-loop QED initial state, final state and initial--final state interference corrections to the process e+e- -> pi+pi- are presented. Analytic formulae are given for the virtual and for the real photon corrections. The total…

High Energy Physics - Phenomenology · Physics 2011-09-13 A. Hoefer , J. Gluza , F. Jegerlehner

We present a calculation of the $C$-odd radiative corrections to $e^+e^-\to \pi^+\pi^-$ in a dispersive formalism, concentrating on the leading pion-pole contribution in the virtual box diagrams. In particular, we show how the effect of a…

High Energy Physics - Phenomenology · Physics 2025-02-27 Gilberto Colangelo , Martin Hoferichter , Joachim Monnard , Jacobo Ruiz de Elvira

We calculate the one-photon loop radiative corrections to the charged pion-pair production process $\pi^-\gamma\to\pi^+\pi^-\pi^-$. In the low-energy region this reaction is governed by the chiral pion-pion interaction. The pertinent set of…

High Energy Physics - Phenomenology · Physics 2015-06-18 N. Kaiser , S. Petschauer

We present an analysis of the process $e^+e^-\to V^*\to\pi\pi\gamma$, where $V=\gamma$ or $V=Z$ boson, in the kinematical region where $\sqrt{s}$, the c.m. energy of the $e^+e^-$ pair, is large but much below the $Z$-pole. The subprocess…

High Energy Physics - Phenomenology · Physics 2014-11-18 Zhun Lu , Ivan Schmidt

We calculate the one-photon loop radiative corrections to the neutral pion-pair photoproduction process $\pi^-\gamma \to \pi^-\pi^0\pi^0$. At leading order this reaction is governed by the chiral pion-pion interaction. Since the chiral…

High Energy Physics - Phenomenology · Physics 2010-12-06 N. Kaiser

We consider the process of annihilation of e^+ e^- to three pion final state for the case of moderately high energies. The final state emission of virtual and real photon is considered explicitly. The calculations are performed in frames of…

High Energy Physics - Phenomenology · Physics 2013-05-29 S. Bakmaev , Yu. M. Bystritskiy , E. A. Kuraev

We improve the description of pion-photon interactions in the radiative return process $e^+e^-\to \pi^+\pi^-\gamma$ at the next-to-leading order by including the pion form factor in the Feynman rules. We present a general calculation of the…

High Energy Physics - Phenomenology · Physics 2026-03-16 Pau Petit Rosàs , Olga Shekhovtsova , William J. Torres Bobadilla

Processes of electron-positron annihilation into charged pions and kaons are considered. Radiative corrections are taken into account exactly in the first order and within the leading logarithmic approximation in higher orders. A combined…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. B. Arbuzov , V. A. Astakhov , A. V. Fedorov , G. V. Fedotovich , E. A. Kuraev , N. P. Merenkov

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

The role of the reaction e+e- --> e+ e-pi+pi- in the pion form factor measurements via radiative return method without photon tagging is studied in detail. The analysis is based on the developed Monte Carlo program EKHARA, which ingredients…

High Energy Physics - Phenomenology · Physics 2009-11-11 Henryk Czyz , Elzbieta Nowak-Kubat

We report on the fully analytic calculation of the leading-power contribution to the photon-pion transition form factor $\gamma \, \gamma^{\ast} \to \pi^0$ at two loops in QCD. The applied techniques are based on hard-collinear…

High Energy Physics - Phenomenology · Physics 2021-10-29 Jing Gao , Tobias Huber , Yao Ji , Yu-Ming Wang

Inclusion of the QED higher order radiative corrections in the two-photon process, e+e- -> e+e- mu+mu-, is examined by means of the structure function and the parton shower. Results are compared with the exact $O(\alpha)$ calculations and…

High Energy Physics - Phenomenology · Physics 2009-10-31 Y. Kurihara , J. Fujimoto , Y. Shimizu , K. Kato , K. Tobimatsu , T. Munehisa

The process of $e^+ e^-$ annihilation into $\pi^+ \pi^-$ pair with radiation of the photon is considered. The amplitude of the reaction $e^+ e^- \to \pi^+ \pi^- \gamma$ consists of the model independent initial-state radiation (ISR) and…

High Energy Physics - Phenomenology · Physics 2016-09-06 S. Dubinsky , A. Korchin , N. Merenkov , G. Pancheri , O. Shekhovtsova

The cross section for different processes induced by $e^+e^-$ annihilation, in the kinematical limit $\beta_{\mu}\approx\beta_{\pi}=(1-m_{\pi}^2/\epsilon^2)^{1/2}\sim 1$, is calculated taking into account first order corrections to the…

High Energy Physics - Phenomenology · Physics 2008-12-25 E. A. Kuraev , A. I. Ahmadov , S. N. Panov , E. Tomasi-Gustafsson

The process of $e^+e^-$ annihilation into a $\pi^+\pi^-$ pair with radiation of a photon is considered. The amplitude of the reaction $e^+e^-\to\pi^+\pi^-\gamma$ consists of the model independent initial-state radiation (ISR) and…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Dubinsky , A. Korchin , N. Merenkov , G. Pancheri , O. Shekhovtsova

Using the field-theory-inspired expression for the pion electromagnetic form factor F_\pi, a good description of the data in the range -10<s<1 GeV^2 is obtained upon taking into account the pseudoscalar-pseudoscalar (PP) loops. When the…

High Energy Physics - Phenomenology · Physics 2013-11-15 N. N. Achasov , A. A. Kozhevnikov

Contributions from the reaction e+e- --> pi+pi- e+e- to the pion form factor measurement via radiative return method are discussed basing on the results of a Monte Carlo generator (EKHARA). The generator contains contributions from the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Henryk Czyz , Elzbieta Nowak-Kubat

A model is developed for electromagnetic form factor of the pion. One-loop corrections are included in the linear sigma-model. The rho-meson contribution is added in an extended VMD model. The form factor, calculated without fitting…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. K. Dubinsky , A. Yu. Korchin , N. P. Merenkov

We discuss radiative transitions of a charged kaon to a pion and two photons. In particular, we have a closer look at radiative corrections for the $K^+\to\pi^+\ell^+\ell^-$ decays and present the branching ratio of the…

High Energy Physics - Phenomenology · Physics 2023-03-22 Tomáš Husek
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