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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

The electromagnetic form factor of the pion is calculated in a pseudoscalar field theoretical model which constituent quarks. We extract the form factor using the "+" component of the electromagnetic current in the light-cone formalism. For…

High Energy Physics - Phenomenology · Physics 2009-10-30 J. P. B. C. de Melo , H. W. L. Naus , T. Frederico

We present a quantitative analysis of the electromagnetic pion form factor in the light-cone sum rule approach, including radiative corrections and higher-twist effects. The comparison to the existing data favors the asymptotic profile of…

High Energy Physics - Phenomenology · Physics 2011-05-05 V. M. Braun , A. Khodjamirian , M. Maul

The renormalizable Abelian quantum field theory model of Kroll, Lee, and Zumino is used to compute the one-loop vertex corrections to the tree-level, Vector Meson Dominance (VMD) pion form factor. These corrections, together with the known…

High Energy Physics - Phenomenology · Physics 2008-11-26 Cesareo A. Dominguez , Juan I. Jottar , Marcelo Loewe , Bernard Willers

The quantum phase-space approach allows one to define relativistic spatial distributions inside a target with arbitrary spin and arbitrary average momentum. We apply this quasiprobabilistic formalism to the whole electromagnetic…

High Energy Physics - Phenomenology · Physics 2023-01-11 Yi Chen , Cédric Lorcé

We study a model-independent parameterization of the vector pion form factor that arises from the constraints of analyticity and unitarity. Our description should be suitable up to s^(1/2) ~ 1.2 GeV and allows a model-independent…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. Pich , J. Portoles

We study the implications of several recent high-precision measurements of the pion form factor in the region of the rho-omega interference "shoulder" for (i) the extraction of the rho-omega mixing matrix element, Pi_{\rho\omega}(m_rho^2),…

High Energy Physics - Phenomenology · Physics 2010-04-30 C. E. Wolfe , K. Maltman

Results are presented from an ongoing study of the $\rho$ resonance. The focus is on CLS 2-flavour ensembles generated using $\mathcal{O}(a)$ improved Wilson fermions with pion masses ranging from $265$ to $437$ $\mathrm{MeV}$. The energy…

High Energy Physics - Lattice · Physics 2018-04-18 Felix Erben , Jeremy Green , Daniel Mohler , Hartmut Wittig

By considering a one loop background field method for a nonperturbative one gluon exchange between quarks, leading electromagnetic form factors of pion couplings to constituent quarks are derived by means of from a large quark and gluon…

High Energy Physics - Phenomenology · Physics 2020-08-25 Fabio L. Braghin , Willian F. de Sousa

Demanding the analyticity of hadronic observables (calculated in terms of power series of the running coupling) as a {\it whole}, we show that they are free of the Landau singularity. Employing resummation and dispersion-relation…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. I. Karanikas , N. G. Stefanis

Reports on our latest extractions of parton distribution functions of the nucleon are given. First an overview of the recent JR14 upgrade of our unpolarized PDFs, including NNLO determinations of the strong coupling constant and a…

High Energy Physics - Phenomenology · Physics 2015-06-23 Pedro Jimenez-Delgado

In the framework of Dyson-Schwinger equations (DSE), we compute the $\gamma^*\gamma\to\pi^0$ transition form factor, $G(Q^2)$. For the first time, in a continuum approach to quantun chromodynamics (QCD), it was possible to compute $G(Q^2)$…

Nuclear Theory · Physics 2016-11-23 Khépani Raya

Amplitudes of the form $\gamma^*(q^2)\to \gamma P_1P_2$ appear as sub-processes in the computation of the muon $g-2$. We test a proposed theoretical modelling against very precise experimental measurements by the KLOE collaboration at…

High Energy Physics - Phenomenology · Physics 2021-12-01 B. Moussallam

A unified description of spacelike and timelike hadron form factors within a light-front model was successfully applied to the pion. The model is extended to the nucleon to study the role of $q \bar q$ pair production and of nonvalence…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Pace , G. Salme` , T. Frederico , S. Pisano , J. P. B. C. de Melo

The largest error in the theoretical determination of the muon anomalous magnetic moment is due to the low-energy hadronic vacuum polarization, which cannot be calculated by perturbative QCD and requires nonperturbative techniques.…

High Energy Physics - Phenomenology · Physics 2019-07-04 B. Ananthanarayan , I. Caprini , D. Das

Results are presented from an ongoing study of the $\rho$ resonance. We use the distillation approach in order to create correlator matrices involving $\rho$ and $\pi\pi$ interpolators. The study is done in a centre-of-mass frame and…

High Energy Physics - Lattice · Physics 2017-10-31 Felix Erben , Jeremy Green , Daniel Mohler , Hartmut Wittig

We perform a comparative theoretical study of the data at spacelike momentum transfer for the $\gamma^*\gamma\to\pi^0$ transition form factor, just reported by the Belle Collaboration, vs. those published before by BaBar, also including the…

High Energy Physics - Phenomenology · Physics 2012-08-06 A. P. Bakulev , S. V. Mikhailov , A. V. Pimikov , N. G. Stefanis

We study two quark--propagator meromorphic Ans\"atze that admit clear connection between calculations in Euclidean space and Minkowski spacetime. The connection is established through a modified Wick rotation in momentum space, where the…

High Energy Physics - Phenomenology · Physics 2023-06-23 Dalibor Kekez , Dubravko Klabučar

The unitarity relations for isovector nucleon form factors in the two-pion approximation for the intermediate states are analytically extended in a model independent way from the real half-axis t > 4 $\mu^2$ ($\mu$ is the pion mass) to the…

Nuclear Theory · Physics 2007-05-23 M. I. Krivoruchenko

The dynamical model of pion electroproduction has been extended to investigate the weak pion production reactions. The predicted cross sections of neutrino-induced pion production reactions are in good agreement with the existing data. We…

Nuclear Theory · Physics 2009-11-10 T. Sato , D. Uno , T. -S. H. Lee
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