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The weak two-pion form factor $F_V^{\pi\pi}$ is described as the product of a weak kernel $\cal{K}_W$ by a strong function $\Theta_{\pi\pi}^P$, determined directly from $\pi\pi$ scattering data. As the latter accounts at once for all…

High Energy Physics - Phenomenology · Physics 2016-01-01 M. R. Robilotta

We present results from a comprehensive partial-wave analysis of pi+-p elastic scattering and charge-exchange data, covering the region from threshold to 2.6 GeV in the lab pion kinetic energy, employing a coupled-channel formalism to…

Nuclear Theory · Physics 2009-09-29 R. A. Arndt , W. J. Briscoe , I. I. Strakovsky , R. L. Workman

Our extraction of the pion-nucleon coupling constant from \pi p elastic scattering data is outlined. A partial wave analysis (T_{\pi} < 2100 MeV) is performed simultaneously with a fixed-t dispersion relation analysis (T_{\pi} < 800 MeV).…

Nuclear Theory · Physics 2009-10-31 M. M. Pavan , R. A. Arndt , I. I. Strakovsky , R. L. Workman

We study the pion-mass dependence of the two-pion channel in the hadronic-vacuum-polarization (HVP) contribution to the anomalous magnetic moment of the muon $a_\mu^\text{HVP}$, by using an Omn\`es representation for the pion vector form…

High Energy Physics - Phenomenology · Physics 2022-01-07 Gilberto Colangelo , Martin Hoferichter , Bastian Kubis , Malwin Niehus , Jacobo Ruiz de Elvira

The long-distance contribution of QED corrections to the hadronic vacuum polarization is particularly challenging to compute in lattice QCD+QED. Currently, it is one of the limiting factors towards matching the precision of the recent…

High Energy Physics - Lattice · Physics 2025-09-01 Christoph Lehner , Julian Parrino , Andreas Völklein

Within fixed-t dispersion relations the results of new VPI partial-wave analysis for the multipole amplitudes $M_{1+}^{3/2},E_{1+}^{3/2}$ are successfuly described, and the resonance and nonresonance contributions into these amplitudes are…

High Energy Physics - Phenomenology · Physics 2007-05-23 I. G. Aznauryan

To study cross sections and polarization asymmetries for the processes $e p \to e n \pi^+$ and $e p \to e p \pi^0$ in the backward region, we develop a flexible phenomenological model for nucleon-to-pion transition distribution amplitudes…

High Energy Physics - Phenomenology · Physics 2025-11-03 Bernard Pire , Kirill Semenov-Tian-Shansky , Paweł Sznajder , Lech Szymanowski

Over twenty-five years ago, two analyses of the pion-nucleon ($\pi N$) data at low energy (i.e., for pion laboratory kinetic energy $T \leq 100$ MeV) reported on the departure of the extracted scattering amplitudes, corresponding to the two…

Nuclear Theory · Physics 2022-06-07 Evangelos Matsinos

Following Polchinski and Strassler [1] and our previous work [2], we study high-energy pion scattering in the holographic QCD hard-wall model. In particular, we focus on comparing our predictions for the angular dependence of $\pi^{+}…

High Energy Physics - Phenomenology · Physics 2026-04-08 Adi Armoni , Dorin Weissman

We calculate the amplitude of the rare flavour-changing neutral-current decay $B\to \pi\ell^+\ell^-$ at large recoil of the pion. The nonlocal contributions in which the weak effective operators are combined with the electromagnetic…

High Energy Physics - Phenomenology · Physics 2015-10-21 Christian Hambrock , Alexander Khodjamirian , Aleksey Rusov

Recent measurements of the pi^+pi^- invariant mass distribution at RHIC show a shifted peak for the rho meson in 100A GeV in peripheral Au + Au and even in p + p collisions. A recent theoretical study based on a picture of in-medium…

Nuclear Theory · Physics 2009-11-10 Scott Pratt , Wolfgang Bauer

Recent attempts to detect the pion polarizability via analysis of $\gamma\gamma\rightarrow\pi\pi$ measurements are examined. The connection between calculations based on dispersion relations and on chiral perturbation theory is established…

High Energy Physics - Phenomenology · Physics 2011-07-19 John F. Donoghue , Barry R. Holstein

We present results for pion polarizabilities predicted using dispersion relations from our earlier Amplitude Analysis of world data on two photon production of meson pairs. The helicity-zero polarizabilities are rather stable and…

High Energy Physics - Phenomenology · Physics 2018-09-11 Ling-Yun Dai , Michael R. Pennington

The anomalous magnetic moment of the muon $a_\mu$ is one of the most accurate quantities in Particle Physics. The long-standing discrepancy of about $3.7$ standard deviations between the experimental value and the prediction of the Standard…

High Energy Physics - Lattice · Physics 2019-10-10 Davide Giusti , Silvano Simula

Within the Excited Baryon Analysis Center we have performed a dynamical coupled-channels analysis of the available $p(e,e' \pi)N$ data in the region of $W \leq $ 1.6 GeV and $Q^2 \leq$ 1.45 (GeV/c)$^2$. The channels included are $\gamma^*…

Nuclear Theory · Physics 2015-05-13 B. Julia-Diaz

Based on a global fit to experimental measurements of the pion electromagnetic form factor and parton distribution functions (PDFs), we report a data-driven determination of the unpolarized quark generalized parton distributions (GPDs) for…

High Energy Physics - Phenomenology · Physics 2026-04-14 Satyajit Puhan , Shubham Sharma , Narinder Kumar , Harleen Dahiya

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 electromagnetic corrections needed to obtain isospin invariant hadronic pion-pion s-wave scattering lengths a^0, a^2 from the elements a_cc, a_0c of the s-wave scattering matrix for the (\pi^+ \pi^-, \pi^0 \pi^0) system at…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Gashi , G. C. Oades , G. Rasche , W. S. Woolcock

The contribution of the box and crossed two-pion-exchange diagrams to proton-proton scattering at 90$^{\circ}_{c.m.}$ is calculated in the laboratory momentum range up to 12 GeV/c. Relativistic form factors related to the nucleon and pion…

Nuclear Theory · Physics 2008-11-26 W. R. Gibbs , B. Loiseau

We extract the $e^+e^-\rightarrow \pi^+\pi^-$ cross section in the energy range between 600 and 900 MeV, exploiting the method of initial state radiation. A data set with an integrated luminosity of 2.93 fb$^{-1}$ taken at a center-of-mass…

High Energy Physics - Experiment · Physics 2021-01-12 M. Ablikim , M. N. Achasov , X. C. Ai , O. Albayrak , M. Albrecht , D. J. Ambrose , A. Amoroso , F. F. An , Q. An , J. Z. Bai , R. Baldini Ferroli , Y. Ban , D. W. Bennett , J. V. Bennett , M. Bertani , D. Bettoni , J. M. Bian , F. Bianchi , E. Boger , I. Boyko , R. A. Briere , H. Cai , X. Cai , O. Cakir , A. Calcaterra , G. F. Cao , S. A. Cetin , J. F. Chang , G. Chelkov , G. Chen , H. S. Chen , H. Y. Chen , J. C. Chen , M. L. Chen , S. J. Chen , X. Chen , X. R. Chen , Y. B. Chen , H. P. Cheng , X. K. Chu , G. Cibinetto , H. L. Dai , J. P. Dai , A. Dbeyssi , D. Dedovich , Z. Y. Deng , A. Denig , I. Denysenko , M. Destefanis , F. De Mori , Y. Ding , C. Dong , J. Dong , L. Y. Dong , M. Y. Dong , S. X. Du , P. F. Duan , E. E. Eren , J. Z. Fan , J. Fang , S. S. Fang , X. Fang , Y. Fang , L. Fava , F. Feldbauer , G. Felici , C. Q. Feng , E. Fioravanti , M. Fritsch , C. D. Fu , Q. Gao , X. Y. Gao , Y. Gao , Z. Gao , I. Garzia , K. Goetzen , W. X. Gong , W. Gradl , M. Greco , M. H. Gu , Y. T. Gu , Y. H. Guan , A. Q. Guo , L. B. Guo , Y. Guo , Y. P. Guo , Z. Haddadi , A. Hafner , S. Han , X. Q. Hao , F. A. Harris , K. L. He , X. Q. He , T. Held , Y. K. Heng , Z. L. Hou , C. Hu , H. M. Hu , J. F. Hu , T. Hu , Y. Hu , G. M. Huang , G. S. Huang , J. S. Huang , X. T. Huang , Y. Huang , T. Hussain , Q. Ji , Q. P. Ji , X. B. Ji , X. L. Ji , L. W. Jiang , X. S. Jiang , X. Y. Jiang , J. B. Jiao , Z. Jiao , D. P. Jin , S. Jin , T. Johansson , A. Julin , N. Kalantar-Nayestanaki , X. L. Kang , X. S. Kang , M. Kavatsyuk , B. C. Ke , P. Kiese , R. Kliemt , B. Kloss , O. B. Kolcu , B. Kopf , M. Kornicer , W. Kühn , A. Kupsc , J. S. Lange , M. Lara , P. Larin , C. Leng , C. Li , Cheng Li , D. M. Li , F. Li , F. Y. Li , G. Li , H. B. Li , J. C. Li , Jin Li , K. Li , K. Li , Lei Li , P. R. Li , T. Li , W. D. Li , W. G. Li , X. L. Li , X. M. Li , X. N. Li , X. Q. Li , Z. B. Li , H. Liang , Y. F. Liang , Y. T. Liang , G. R. Liao , D. X. Lin , B. J. Liu , C. X. Liu , F. H. Liu , Fang Liu , Feng Liu , H. B. Liu , H. H. Liu , H. H. Liu , H. M. Liu , J. Liu , J. B. Liu , J. P. Liu , J. Y. Liu , K. Liu , K. Y. Liu , L. D. Liu , P. L. Liu , Q. Liu , S. B. Liu , X. Liu , Y. B. Liu , Z. A. Liu , Zhiqing Liu , H. Loehner , X. C. Lou , H. J. Lu , J. G. Lu , Y. Lu , Y. P. Lu , C. L. Luo , M. X. Luo , T. Luo , X. L. Luo , X. R. Lyu , F. C. Ma , H. L. Ma , L. L. Ma , Q. M. Ma , T. Ma , X. N. Ma , X. Y. Ma , F. E. Maas , M. Maggiora , Y. J. Mao , Z. P. Mao , S. Marcello , J. G. Messchendorp , J. Min , R. E. Mitchell , X. H. Mo , Y. J. Mo , C. Morales Morales , K. Moriya , N. Yu. Muchnoi , H. Muramatsu , Y. Nefedov , F. Nerling , I. B. Nikolaev , Z. Ning , S. Nisar , S. L. Niu , X. Y. Niu , S. L. Olsen , Q. Ouyang , S. Pacetti , P. Patteri , M. Pelizaeus , H. P. Peng , K. Peters , J. Pettersson , J. L. Ping , R. G. Ping , R. Poling , V. Prasad , M. Qi , S. Qian , C. F. Qiao , L. Q. Qin , N. Qin , X. S. Qin , Z. H. Qin , J. F. Qiu , K. H. Rashid , C. F. Redmer , M. Ripka , G. Rong , Ch. Rosner , X. D. Ruan , V. Santoro , A. Sarantsev , M. Savrié , K. Schoenning , S. Schumann , W. Shan , M. Shao , C. P. Shen , P. X. Shen , X. Y. Shen , H. Y. Sheng , W. M. Song , M. R. Shepherd , X. Y. Song , S. Sosio , S. Spataro , G. X. Sun , J. F. Sun , S. S. Sun , Y. J. Sun , Y. Z. Sun , Z. J. Sun , Z. T. Sun , C. J. Tang , X. Tang , I. Tapan , E. H. Thorndike , M. Tiemens , M. Ullrich , I. Uman , G. S. Varner , B. Wang , D. Wang , D. Y. Wang , K. Wang , L. L. Wang , L. S. Wang , M. Wang , P. Wang , P. L. Wang , S. G. Wang , W. Wang , X. F. Wang , Y. D. Wang , Y. F. Wang , Y. Q. Wang , Z. Wang , Z. G. Wang , Z. H. Wang , Z. Y. Wang , T. Weber , D. H. Wei , J. B. Wei , P. Weidenkaff , S. P. Wen , U. Wiedner , M. Wolke , L. H. Wu , Z. Wu , L. G. Xia , Y. Xia , D. Xiao , H. Xiao , Z. J. Xiao , Y. G. Xie , Q. L. Xiu , G. F. Xu , L. Xu , Q. J. Xu , X. P. Xu , L. Yan , W. B. Yan , W. C. Yan , Y. H. Yan , H. J. Yang , H. X. Yang , L. Yang , Y. Yang , Y. X. Yang , M. Ye , M. H. Ye , J. H. Yin , B. X. Yu , C. X. Yu , J. S. Yu , C. Z. Yuan , W. L. Yuan , Y. Yuan , A. Yuncu , A. A. Zafar , A. Zallo , Y. Zeng , B. X. Zhang , B. Y. Zhang , C. Zhang , C. C. Zhang , D. H. Zhang , H. H. Zhang , H. Y. Zhang , J. J. Zhang , J. L. Zhang , J. Q. Zhang , J. W. Zhang , J. Y. Zhang , J. Z. Zhang , K. Zhang , L. Zhang , X. Y. Zhang , Y. Zhang , Y. N. Zhang , Y. H. Zhang , Y. T. Zhang , Yu Zhang , Z. H. Zhang , Z. P. Zhang , Z. Y. Zhang , G. Zhao , J. W. Zhao , J. Y. Zhao , J. Z. Zhao , Lei Zhao , Ling Zhao , M. G. Zhao , Q. Zhao , Q. W. Zhao , S. J. Zhao , T. C. Zhao , Y. B. Zhao , Z. G. Zhao , A. Zhemchugov , B. Zheng , J. P. Zheng , W. J. Zheng , Y. H. Zheng , B. Zhong , L. Zhou , X. Zhou , X. K. Zhou , X. R. Zhou , X. Y. Zhou , K. Zhu , K. J. Zhu , S. Zhu , S. H. Zhu , X. L. Zhu , Y. C. Zhu , Y. S. Zhu , Z. A. Zhu , J. Zhuang , L. Zotti , B. S. Zou , J. H. Zou