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We derive an analytic result for the pion pole contribution to the light-by-light scattering correction to the anomalous magnetic moment of the muon, $a_\mu = (g_\mu-2)/2$. Using the vector meson dominance model (VMD) for the pion…

高能物理 - 唯象学 · 物理学 2008-11-26 Ian Blokland , Andrzej Czarnecki , Kirill Melnikov

The BNL and FNAL measurements of the anomalous magnetic moment of the muon disagree with the Standard Model (SM) prediction by more than $4\sigma$. The hadronic vacuum polarization (HVP) contributions are the dominant source of uncertainty…

高能物理 - 唯象学 · 物理学 2023-10-19 Andrew Fowlie , Qiao Li

The dispersive approach to quantum chromodynamics is applied to the study of the hadronic vacuum polarization function and associated quantities. This approach merges the intrinsically nonperturbative constraints, which originate in the…

高能物理 - 唯象学 · 物理学 2015-07-14 A. V. Nesterenko

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…

高能物理 - 实验 · 物理学 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

We investigate restrictions on the hadronic contribution to the muon $(g-2)$ factor and to the pion electromagnetic formfactor from the analytical properties of the pion formfactor and the experimental data of the pion formfactor in the…

高能物理 - 唯象学 · 物理学 2007-05-23 B. V. Geshkenbein

We compute the next-to-next-to-leading order hadronic contribution to the muon anomalous magnetic moment originating from the photon vacuum polarization. The corresponding three-loop kernel functions are calculated using asymptotic…

高能物理 - 唯象学 · 物理学 2015-06-19 Alexander Kurz , Tao Liu , Peter Marquard , Matthias Steinhauser

Recently, the Budapest-Marseille-Wuppertal collaboration achieved sub-percent precision in the evaluation of the lowest-order hadronic vacuum polarization contribution to the muon $g_\mu-2$ (arXiv:hep-lat/2002.12347v3). At this level of…

We present a new independent evaluation of the hadronic vacuum polarization contributions a_l{had}(l.o)=(1/2)(g-2)_l{had}(l.o) to the anomalous magnetic moment (anomaly) of the muon and tau leptons using tau-decays and e+e- data. The alone…

高能物理 - 唯象学 · 物理学 2009-11-07 Stephan Narison

Vacuum polarization integrals involve the vector spectral functions which can be experimentally determined from two sources: (i) e+e- annihilation cross sections and (ii) hadronic tau decays. Recently results with comparable precision have…

高能物理 - 唯象学 · 物理学 2008-11-26 M. Davier , S. Eidelman , A. Hocker , Z. Zhang

The strength of the interaction of three pions and a photon, $F_{3\pi}$ is predicted by the axial anomaly in terms of the pion decay constant, a relation that is frequently used to constrain low-energy radiative processes involving pions,…

高能物理 - 唯象学 · 物理学 2025-07-09 Martin Hoferichter , Bai-Long Hoid , Bastian Kubis

We review the recent progress achieved, using Resonance Chiral Theory, in the hadronic contributions to the muon anomalous magnetic moment. These include the hadronic vacuum polarization, either using $e^+e^-$ or $\tau$ decays into hadron…

高能物理 - 唯象学 · 物理学 2026-02-10 Emilio J. Estrada , Alejandro Miranda , Pablo Roig

An accurate determination of the leading-order hadronic vacuum polarisation (HVP) contribution to the anomalous magnetic moment of the muon is critical to understanding the size and significance of any discrepancy between the Standard Model…

We present a lattice calculation of the hadronic vacuum polarization and the lowest-order hadronic contribution to the muon anomalous magnetic moment, a_\mu = (g-2)/2, using 2+1 flavors of improved staggered fermions. A precise fit to the…

高能物理 - 格点 · 物理学 2008-11-26 C. Aubin , T. Blum

We report on our update to [1] on the hadronic running of electroweak couplings from $O(a)$-improved Wilson fermions with $N_f=2+1$ flavours. The inclusion of additional ensembles at very fine lattice spacings together with a number of…

高能物理 - 格点 · 物理学 2025-02-17 Alessandro Conigli , Georg von Hippel , Simon Kuberski , Harvey B. Meyer , Konstantin Ottnad , Hartmut Wittig

Recently, it was shown that insertions of hadronic vacuum polarization at O(alpha^4) generate non-negligible effects in the calculation of the anomalous magnetic moment of the muon. This result raises the question if other hadronic diagrams…

高能物理 - 唯象学 · 物理学 2014-06-19 Gilberto Colangelo , Martin Hoferichter , Andreas Nyffeler , Massimo Passera , Peter Stoffer

We calculate (g-2)/2 of the muon, by improving the determination of the hadronic vacuum polarisation contribution, a_mu^{had,LO}, and its uncertainties. The different e+e- data sets for each exclusive (and the inclusive) channel are…

高能物理 - 唯象学 · 物理学 2008-11-26 K. Hagiwara , A. D. Martin , Daisuke Nomura , T. Teubner

The correction to the muon anomalous magnetic moment from the pion-pole contribution to the hadronic light-by-light scattering is considered using a description of the pi0 - gamma* - gamma* transition form factor based on the large-Nc and…

高能物理 - 唯象学 · 物理学 2008-11-26 Marc Knecht , Andreas Nyffeler

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…

高能物理 - 唯象学 · 物理学 2015-03-17 Fred Jegerlehner , Robert Szafron

We estimated an impact of the recent CMD-3 measurement of the $e^+e^- \to \pi^+\pi^-$ total cross section at $0.3 < \sqrt{s} < 1.2$ GeV on the leading order hadronic contribution $a_\mu^{had,LO}$ to the muon anomalous magnetic moment $a_\mu…

高能物理 - 唯象学 · 物理学 2024-01-17 V. V. Bryzgalov , O. V. Zenin

A determination of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon from lattice QCD aiming at a precision of $1\%$ requires to include isospin breaking corrections in the computation. We present a…

高能物理 - 格点 · 物理学 2018-12-27 Vera Gülpers , Andreas Jüttner , Christoph Lehner , Antonin Portelli
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