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We present a Lorentz-covariant, Euclidean coordinate-space expression for the hadronic vacuum polarisation, the Adler function and the leading hadronic contribution to the anomalous magnetic moment of the muon. The representation offers a…

High Energy Physics - Lattice · Physics 2017-10-25 Harvey B. Meyer

The MUonE experiment aims at a precision measurement of the hadronic vacuum polarization contribution to the muon $g-2$, via elastic muon-electron scattering. Since the current muon $g-2$ anomaly hints at the potential existence of new…

High Energy Physics - Phenomenology · Physics 2020-05-14 P. S. Bhupal Dev , Werner Rodejohann , Xun-Jie Xu , Yongchao Zhang

I present a preliminary calculation of the hadronic vacuum polarization for 2+1 flavors of improved Kogut-Susskind quarks by utilizing a set of gauge configurations recently generated by the MILC collaboration. The polarization function…

High Energy Physics - Lattice · Physics 2009-11-10 T. Blum

The form factor that yields the light-by-light scattering contribution to the muon anomalous magnetic moment is computed in lattice QCD+QED and QED. A non-perturbative treatment of QED is used and is checked against perturbation theory. The…

High Energy Physics - Lattice · Physics 2015-01-14 Thomas Blum , Saumitra Chowdhury , Masashi Hayakawa , Taku Izubuchi

Using recently published, high-precision pi+pi- cross section data by the BABAR experiment from the analysis of e+e- events with high-energy photon radiation in the initial state, we reevaluate the lowest order hadronic contribution…

High Energy Physics - Phenomenology · Physics 2014-11-20 M. Davier , A. Hoecker , B. Malaescu , C. Z. Yuan , Z. Zhang

In frames of agreement to consider the annihilation of electron-positron pair to hadrons cross section to be including the virtual photon polarization effects a new formulation of hadron contribution to muon anomalous magnetic moment is…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yu. M. Bystritskiy , E. A. Kuraev , A. V. Bogdan , F. V. Ignatov , G. V. Fedotovich

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…

High Energy Physics - Phenomenology · Physics 2014-06-19 Gilberto Colangelo , Martin Hoferichter , Andreas Nyffeler , Massimo Passera , Peter Stoffer

This work presents a complete re-evaluation of the hadronic vacuum polarisation contributions to the anomalous magnetic moment of the muon, $a_{\mu}^{\rm had, \, VP}$ and the hadronic contributions to the effective QED coupling at the mass…

High Energy Physics - Phenomenology · Physics 2018-07-16 Alexander Keshavarzi , Daisuke Nomura , Thomas Teubner

Numerous channels of the cross section e+e- --> hadrons have been measured by the BABAR experiment using the ISR method. For the pi+pi-(gamma) and K+K-(gamma) channels, BABAR has pioneered the method based on the ratio between the hadronic…

High Energy Physics - Experiment · Physics 2014-07-18 B. Malaescu

Nonperturbative QCD corrections are important to many low-energy electroweak observables, for example the muon magnetic moment. However, hadronic corrections also play a significant role at much higher energies due to their impact on the…

High Energy Physics - Lattice · Physics 2012-06-15 Dru B. Renner , Xu Feng , Karl Jansen , Marcus Petschlies

In Phys. Lett. B 753, 629-638 (2016) [arXiv:1507.08188] the BESIII collaboration published a cross section measurement of the process $e^+e^-\to \pi^+ \pi^-$ in the energy range between 600 and 900 MeV. In this erratum we report a corrected…

High Energy Physics - Experiment · Physics 2021-01-12 BESIII Collaboration , M. Ablikim , M. N. Achasov , P. Adlarson , S. Ahmed , M. Albrecht , R. Aliberti , A. Amoroso , Q. An , X. H. Bai , Y. Bai , O. Bakina , R. Baldini Ferroli , I. Balossino , Y. Ban , K. Begzsuren , N. Berger , M. Bertani , D. Bettoni , F. Bianchi , J Biernat , J. Bloms , A. Bortone , I. Boyko , R. A. Briere , H. Cai , X. Cai , A. Calcaterra , G. F. Cao , N. Cao , S. A. Cetin , J. F. Chang , W. L. Chang , G. Chelkov , D. Y. Chen , G. Chen , H. S. Chen , M. L. Chen , S. J. Chen , X. R. Chen , Y. B. Chen , Z. J Chen , W. S. Cheng , G. Cibinetto , F. Cossio , X. F. Cui , H. L. Dai , X. C. Dai , A. Dbeyssi , R. E. de Boer , 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 , X. Dong , S. X. Du , J. Fang , S. S. Fang , Y. Fang , R. Farinelli , L. Fava , F. Feldbauer , G. Felici , C. Q. Feng , M. Fritsch , C. D. Fu , Y. Fu , Y. Gao , Y. Gao , Y. Gao , Y. G. Gao , I. Garzia , E. M. Gersabeck , A. Gilman , K. Goetzen , L. Gong , W. X. Gong , W. Gradl , M. Greco , L. M. Gu , M. H. Gu , S. Gu , Y. T. Gu , C. Y Guan , A. Q. Guo , L. B. Guo , R. P. Guo , Y. P. Guo , A. Guskov , T. T. Han , X. Q. Hao , F. A. Harris , K. L. He , F. H. Heinsius , C. H. Heinz , T. Held , Y. K. Heng , C. Herold , M. Himmelreich , T. Holtmann , Y. R. Hou , Z. L. Hou , H. M. Hu , J. F. Hu , T. Hu , Y. Hu , G. S. Huang , L. Q. Huang , X. T. Huang , Y. P. Huang , Z. Huang , N. Huesken , T. Hussain , W. Ikegami Andersson , W. Imoehl , M. Irshad , S. Jaeger , S. Janchiv , Q. Ji , Q. P. Ji , X. B. Ji , X. L. Ji , H. B. Jiang , X. S. Jiang , X. Y. Jiang , J. B. Jiao , Z. Jiao , S. Jin , Y. Jin , T. Johansson , N. Kalantar-Nayestanaki , X. S. Kang , R. Kappert , M. Kavatsyuk , B. C. Ke , I. K. Keshk , A. Khoukaz , P. Kiese , R. Kiuchi , R. Kliemt , L. Koch , O. B. Kolcu , B. Kopf , M. Kuemmel , M. Kuessner , A. Kupsc , M. G. Kurth , W. Kühn , J. J. Lane , J. S. Lange , P. Larin , A. Lavania , L. Lavezzi , Z. H. Lei , H. Leithoff , M. Lellmann , T. Lenz , C. Li , C. H. Li , Cheng Li , D. M. Li , F. Li , G. Li , H. Li , H. Li , H. B. Li , H. J. Li , J. L. Li , J. Q. Li , Ke Li , L. K. Li , Lei Li , P. L. Li , P. R. Li , S. Y. Li , W. D. Li , W. G. Li , X. H. Li , X. L. Li , Z. Y. Li , H. Liang , H. Liang , Y. F. Liang , Y. T. Liang , L. Z. Liao , J. Libby , C. X. Lin , B. J. Liu , C. X. Liu , D. Liu , F. H. Liu , Fang Liu , Feng Liu , H. B. Liu , H. M. Liu , Huanhuan Liu , Huihui Liu , J. B. Liu , J. Y. Liu , K. Liu , K. Y. Liu , Ke Liu , L. Liu , M. H. Liu , Q. Liu , S. B. Liu , Shuai Liu , T. Liu , W. M. Liu , X. Liu , Y. B. Liu , Z. A. Liu , Z. Q. Liu , X. C. Lou , F. X. Lu , H. J. Lu , J. D. Lu , J. G. Lu , X. L. Lu , Y. Lu , Y. P. Lu , C. L. Luo , M. X. Luo , P. W. Luo , T. Luo , X. L. Luo , S. Lusso , X. R. Lyu , F. C. Ma , H. L. Ma , L. L. Ma , M. M. Ma , Q. M. Ma , R. Q. Ma , R. T. Ma , X. N. Ma , X. X. Ma , X. Y. Ma , F. E. Maas , M. Maggiora , S. Maldaner , S. Malde , Q. A. Malik , A. Mangoni , Y. J. Mao , Z. P. Mao , S. Marcello , Z. X. Meng , J. G. Messchendorp , G. Mezzadri , T. J. Min , R. E. Mitchell , X. H. Mo , Y. J. Mo , N. Yu. Muchnoi , H. Muramatsu , S. Nakhoul , Y. Nefedov , F. Nerling , I. B. Nikolaev , Z. Ning , S. Nisar , S. L. Olsen , Q. Ouyang , S. Pacetti , X. Pan , Y. Pan , A. Pathak , P. Patteri , M. Pelizaeus , H. P. Peng , K. Peters , J. Pettersson , J. L. Ping , R. G. Ping , A. Pitka , R. Poling , V. Prasad , H. Qi , H. R. Qi , K. H. Qi , M. Qi , T. Y. Qi , T. Y. Qi , S. Qian , W. -B. Qian , Z. Qian , C. F. Qiao , L. Q. Qin , X. S. Qin , Z. H. Qin , J. F. Qiu , S. Q. Qu , K. H. Rashid , K. Ravindran , C. F. Redmer , A. Rivetti , V. Rodin , M. Rolo , G. Rong , Ch. Rosner , M. Rump , H. S. Sang , A. Sarantsev , Y. Schelhaas , C. Schnier , K. Schoenning , M. Scodeggio , D. C. Shan , W. Shan , X. Y. Shan , M. Shao , C. P. Shen , P. X. Shen , X. Y. Shen , H. C. Shi , R. S. Shi , X. Shi , X. D Shi , W. M. Song , Y. X. Song , S. Sosio , S. Spataro , K. X. Su , F. F. Sui , G. X. Sun , H. K. Sun , J. F. Sun , L. Sun , S. S. Sun , T. Sun , W. Y. Sun , X Sun , Y. J. Sun , Y. K. Sun , Y. Z. Sun , Z. T. Sun , Y. H. Tan , Y. X. Tan , C. J. Tang , G. Y. Tang , J. Tang , J. X. Teng , V. Thoren , I. Uman , C. W. Wang , D. Y. Wang , H. P. Wang , K. Wang , L. L. Wang , M. Wang , M. Z. Wang , Meng Wang , W. H. Wang , W. P. Wang , X. Wang , X. F. Wang , X. L. Wang , Y. Wang , Y. Wang , Y. D. Wang , Y. F. Wang , Y. Q. Wang , Z. Wang , Z. Y. Wang , Ziyi Wang , Zongyuan Wang , D. H. Wei , P. Weidenkaff , F. Weidner , S. P. Wen , D. J. White , U. Wiedner , G. Wilkinson , M. Wolke , L. Wollenberg , J. F. Wu , L. H. Wu , L. J. Wu , X. Wu , Z. Wu , L. Xia , H. Xiao , S. Y. Xiao , Y. J. Xiao , Z. J. Xiao , X. H. Xie , Y. G. Xie , Y. H. Xie , T. Y. Xing , G. F. Xu , J. J. Xu , Q. J. Xu , W. Xu , X. P. Xu , F. Yan , L. Yan , L. Yan , W. B. Yan , W. C. Yan , Xu Yan , H. J. Yang , H. X. Yang , L. Yang , R. X. Yang , S. L. Yang , S. L. Yang , Y. H. Yang , Y. X. Yang , Yifan Yang , Zhi Yang , M. Ye , M. H. Ye , J. H. Yin , Z. Y. You , B. X. Yu , C. X. Yu , G. Yu , J. S. Yu , T. Yu , C. Z. Yuan , L. Yuan , W. Yuan , X. Q. Yuan , Y. Yuan , Z. Y. Yuan , C. X. Yue , A. Yuncu , A. A. Zafar , Y. Zeng , B. X. Zhang , Guangyi Zhang , 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 , Jianyu Zhang , Jiawei Zhang , Lei Zhang , S. Zhang , S. F. Zhang , Shulei Zhang , X. D. Zhang , X. Y. Zhang , Y. Zhang , Y. H. Zhang , Y. T. Zhang , Yan Zhang , Yao Zhang , Yi Zhang , Z. H. Zhang , Z. Y. Zhang , G. Zhao , J. Zhao , J. Y. Zhao , J. Z. Zhao , Lei Zhao , Ling Zhao , M. G. Zhao , Q. Zhao , S. J. Zhao , Y. B. Zhao , Y. X. Zhao , Z. G. Zhao , A. Zhemchugov , B. Zheng , J. P. Zheng , Y. Zheng , Y. H. Zheng , B. Zhong , C. Zhong , L. P. Zhou , Q. Zhou , X. Zhou , X. K. Zhou , X. R. Zhou , A. N. Zhu , J. Zhu , K. Zhu , K. J. Zhu , S. H. Zhu , T. J. Zhu , W. J. Zhu , X. L. Zhu , Y. C. Zhu , Z. A. Zhu , B. S. Zou , J. H. Zou

The leading hadronic contribution to the muon anomalous magnetic moment is given by a weighted euclidean momentum integral of the hadronic vacuum polarization. This integral is dominated by momenta of order the muon mass. Since in lattice…

High Energy Physics - Lattice · Physics 2012-10-30 Christopher Aubin , Thomas Blum , Maarten Golterman , Santiago Peris

We introduce a new method for calculating the ${\rm O}(\alpha^3)$ hadronic-vacuum-polarization contribution to the muon anomalous magnetic moment from ${ab-initio}$ lattice QCD. We first derive expressions suitable for computing the…

High Energy Physics - Lattice · Physics 2018-11-14 Bipasha Chakraborty , Christine T. H. Davies , Jonna Koponen , G. Peter Lepage , Ruth S. Van de Water

At low energies hadronic vacuum polarization (HVP) is strongly dominated by two-pion intermediate states, which are responsible for about $70\%$ of the HVP contribution to the anomalous magnetic moment of the muon, $a_\mu^\text{HVP}$.…

High Energy Physics - Phenomenology · Physics 2021-01-20 Gilberto Colangelo , Martin Hoferichter , Peter Stoffer

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 give an update on the status of the Fermilab Lattice-HPQCD-MILC calculation of the contribution to the muon's anomolous magnetic moment from the light-quark, connected hadronic vacuum polarization. We present preliminary, blinded results…

I give an overview of the different contributions to the electron and muon anomalous magnetic moments in the Standard Model. Special emphasis is given to recent QED results as well as to the hadronic light-by-light scattering contribution…

High Energy Physics - Phenomenology · Physics 2015-06-11 Eduardo de Rafael

I present a new data driven update of the hadronic vacuum polarization effects for the muon and the electron $g-2$. For the leading order contributions I find $a_\mu^{\mathrm{had}(1)}=(686.99\pm 4.21)[687.19\pm 3.48]\times 10^{-10}$ based…

High Energy Physics - Phenomenology · Physics 2016-06-22 Fred Jegerlehner

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

The leading-order hadronic vacuum polarization contribution to the hyperfine splitting of true muonium is reevaluated in two ways. The first considers a more complex pionic form factor and better estimates of the perturbative QCD…

Atomic Physics · Physics 2017-02-01 Henry Lamm