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The transverse charge density in the pion can be represented as a dispersion integral of the imaginary part of the pion form factor in the timelike region. This formulation incorporates information from e+e- annihilation experiments and…

High Energy Physics - Phenomenology · Physics 2011-02-25 G. A. Miller , M. Strikman , C. Weiss

The discrepancy between the Standard Model theory and experimental measurement of the muon magnetic moment anomaly, $a_{\mu}=\left(g_{\mu}-2\right)/2$, is connected to precision electroweak (EW) predictions via their common dependence on…

High Energy Physics - Phenomenology · Physics 2020-08-25 Alexander Keshavarzi , William J. Marciano , Massimo Passera , Alberto Sirlin

We present simple analytic expressions to compute the hadronic vacuum polarization contribution to the muon $g$-2 in the space-like region up to next-to-next-to-leading order. These results can be employed in lattice QCD calculations of…

High Energy Physics - Phenomenology · Physics 2022-09-28 Elisa Balzani , Stefano Laporta , Massimo Passera

The ratios among the leading-order (LO) hadronic vacuum polarization (HVP) contributions to the anomalous magnetic moments of electron, muon and tau-lepton, $a_{\ell=e,\mu \tau}^{HVP,LO}$, are computed using lattice QCD+QED simulations. The…

High Energy Physics - Lattice · Physics 2020-09-16 D. Giusti , S. Simula

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

Using a data set with an integrated luminosity of 2.93 fb$^{-1}$ taken at a center-of-mass energy of 3.773 GeV with the BESIII detector at the BEPCII collider, we extract the $e^+e^-\rightarrow \pi^+\pi^-$ cross section and the pion form…

High Energy Physics - Experiment · Physics 2015-10-09 Benedikt Kloss

We study the pion electromagnetic form factor in the modulus squared dispersion relation, and do the model independent extraction of the most important nonperturbative parameters in pion light-cone distribution amplitude. The motivation of…

High Energy Physics - Phenomenology · Physics 2023-07-26 Jian Chai , Shan Cheng , Jun Hua

Following updates in the compilation of $e^+e^-\rightarrow{\rm hadrons}$ data, this work presents re-evaluations of the hadronic vacuum polarisation contributions to the anomalous magnetic moment of the electron ($a_e$), muon ($a_\mu$) and…

High Energy Physics - Phenomenology · Physics 2020-02-05 Alexander Keshavarzi , Daisuke Nomura , Thomas Teubner

The behavior of the $V^0$-$\pi^+$ scattering amplitude (where $V^0 = \rho^0 , \omega$ , or $\phi$) in the low pion momentum limit is studied motivated by its relevance to the theory of muon $g - 2$. Current algebra analysis shows that its…

High Energy Physics - Phenomenology · Physics 2009-12-30 M. Hayakawa

Using electromagnetic corrections previously calculated by means of a potential model, we have made a phase-shift analysis of the $\pi^\pm p$ elastic-scattering data up to a pion laboratory kinetic energy of 100 MeV. The hadronic…

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

We evaluate the two-photon exchange correction to the elastic electron-proton scattering cross section within a dispersive framework. Besides the elastic contribution, we account for all $\pi N$ intermediate state contributions using the…

High Energy Physics - Phenomenology · Physics 2017-11-15 O. Tomalak , B. Pasquini , M. Vanderhaeghen

In this work, the two-photon-exchange (TPE) effects in $e^+e^- \rightarrow \pi^+ \pi^-$ at small $\sqrt{s}$ are discussed within a hadronic model. In the limit $m_e\rightarrow 0$, the TPE contribution to the amplitude can be described by…

High Energy Physics - Phenomenology · Physics 2020-09-30 Zhong-Hua Zhao , Hui-Yun Cao , Hai-Qing Zhou

In this work, the two-photon-exchange (TPE) effects in $ep\rightarrow en\pi^+$ at small $-t$ are discussed within a hadronic model. Under the pion dominance approximation the TPE contribution to the amplitude can be described by a scalar…

High Energy Physics - Phenomenology · Physics 2022-03-29 Hui-Yun Cao , Hai-Qing Zhou

The description of the VV'P form factors (V,V' stands for vector particles and P for a pseudoscalar meson) for different particles virtualities remains a challenge for the theory of strong interactions. While their chiral limit is well…

High Energy Physics - Phenomenology · Physics 2014-04-22 P. Roig , A. Guevara , G. López Castro

The pion electromagnetic form factor and two-pion production in electron-positron collisions are simultaneously fitted by a vector dominance model evolving to perturbative QCD at large momentum transfer. This model was previously successful…

High Energy Physics - Phenomenology · Physics 2016-09-14 Earle L. Lomon , Simone Pacetti

Two-particle two-hole contributions to electromagnetic response functions are computed in a fully relativistic Fermi gas model. All one-pion exchange diagrams that contribute to the scattering amplitude in perturbation theory are…

Nuclear Theory · Physics 2011-11-10 J. E. Amaro , C. Maieron , M. B. Barbaro , J. A. Caballero , T. W. Donnelly

In this paper, we employ chiral effective field theory to study the process of electron-positron annihilation into four pions in the low energy region within $E_{c.m.}\leq 0.6$ GeV. The prediction of the cross section is obtained through…

High Energy Physics - Phenomenology · Physics 2026-05-19 Jia-Yu Zhou , Hao-Xiang Pan , Ling-Yun Dai

We present a comprehensive analysis of the dispersion relations for the doubly-virtual process $\gamma^*\gamma^*\to\pi\pi$. Starting from the Bardeen-Tung-Tarrach amplitudes, we first derive the kernel functions that define the system of…

High Energy Physics - Phenomenology · Physics 2019-07-17 Martin Hoferichter , Peter Stoffer

In this letter we report the first multi-differential measurement of correlated pion-proton pairs from 2 billion Au+Au collisions at \sqrt{s_{NN}} = 2.42 GeV collected with HADES. In this energy regime the population of \Delta(1232)…

Nuclear Experiment · Physics 2021-06-09 J. Adamczewski-Musch , O. Arnold , C. Behnke , A. Belounnas , A. Belyaev , J. C. Berger-Chen , A. Blanco , C. Blume , M. B"ohmer , P. Bordalo , S. Chernenko , L. Chlad , I. Ciepal , C. Deveaux , J. Dreyer , E. Epple , L. Fabbietti , O. Fateev , P. Filip , P. Fonte , C. Franco , J. Friese , I. Fr"ohlich , T. Galatyuk , J. A. Garzon , R. Gernh"auser , M. Golubeva , R. Greifenhagen , F. Guber , M. Gumberidze , S. Harabasz , T. Heinz , T. Hennino , S. Hlavac , C. H"ohne , R. Holzmann , A. Ierusalimov , A. Ivashkin , B. K"ampfer , T. Karavicheva , B. Kardan , I. Koenig , W. Koenig , M. Kohls , B. W. Kolb , G. Korcyl , G. Kornakov , F. Kornas , R. Kotte , A. Kugler , T. Kunz , A. Kurepin , A. Kurilkin , P. Kurilkin , V. Ladygin , R. Lalik , K. Lapidus , A. Lebedev , L. Lopes , M. Lorenz , T. Mahmoud , L. Maier , A. Malige , A. Mangiarotti , J. Markert , T. Matulewicz , S. Maurus , V. Metag , J. Michel , D. M. Mihaylov , S. Morozov , C. M"untz , R. M"unzer , L. Naumann , K. Nowakowski , Y. Parpottas , V. Pechenov , O. Pechenova , O. Petukhov , K. Piasecki , J. Pietraszko , W. Przygoda , K. Pysz , S. Ramos , B. Ramstein , N. Rathod , A. Reshetin , P. Rodriguez-Ramos , P. Rosier , A. Rost , A. Sadovsky , P. Salabura , T. Scheib , H. Schuldes , E. Schwab , F. Scozzi , F. Seck , P. Sellheim , I. Selyuzhenkov , J. Siebenson , L. Silva , U. Singh , J. Smyrski , Yu. G. Sobolev , S. Spataro , S. Spies , H. Str"obele , J. Stroth , C. Sturm , O. Svoboda , M. Szala , P. Tlusty , M. Traxler , H. Tsertos , E. Usenko , V. Wagner , C. Wendisch , M. G. Wiebusch , J. Wirth , D. Wojcik , Y. Zanevsky , P. Zumbruch

We present a first-principles lattice QCD+QED calculation at physical pion mass of the leading-order hadronic vacuum polarization contribution to the muon anomalous magnetic moment. The total contribution of up, down, strange, and charm…

High Energy Physics - Lattice · Physics 2018-07-18 T. Blum , P. A. Boyle , V. Gülpers , T. Izubuchi , L. Jin , C. Jung , A. Jüttner , C. Lehner , A. Portelli , J. T. Tsang
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