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Related papers: The Pion Form Factor Within the Hidden Local Symme…

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The two-pion contribution from low energies to the muon magnetic moment anomaly, although small, has a large relative uncertainty since in this region the experimental data on the cross sections are neither sufficient nor precise enough. It…

High Energy Physics - Phenomenology · Physics 2014-02-24 B. Ananthanarayan , Irinel Caprini , Diganta Das , I. Sentitemsu Imsong

Relying on the Hidden Local Symmetry (HLS) model equipped with a mechanism breaking the U(3)/SU(3)/SU(2) symmetries and generating a dynamical vector meson mixing, it has been shown that a global fit successfully describes the cross…

High Energy Physics - Phenomenology · Physics 2014-11-20 M. Benayoun , P. David , L. DelBuono , O. Leitner

The electromagnetic pion form factor, $F_\pi(q^2)$, is calculated for spacelike-$q^2$ in impulse approximation using a confining quark propagator, $S$, and a dressed quark-photon vertex, $\Gamma_\mu$, obtained from realistic,…

High Energy Physics - Phenomenology · Physics 2010-03-04 Craig D. Roberts

We discuss the properties of vector mesons, in particular the rho^0, in the context of the Hidden Local Symmetry (HLS) model. This provides a unified framework to study several aspects of the low energy QCD sector. Firstly, we show that in…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Benayoun , H. B. O'Connell , A. G. Williams

Domain model of QCD allows for description of wide range of meson observables, dynamical chiral symmetry breaking, and resolution of $U_A(1)$ and strong $CP$ problems. The purpose of the present study is transition form-factor of neutral…

High Energy Physics - Phenomenology · Physics 2017-04-26 Sergei Nedelko , Vladimir Voronin

In order to reveal possible mass shifts of the vector mesons in a dense strongly interacting medium presumably created in high energy heavy ion collisions it is necessary to know their free masses reliably. The rho(770) mass quoted in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Peter Lichard , Martin Vojik

The $D^*D\pi$ form factor is evaluated at low and moderate $Q^2$ in a hadronic loop model, for off-shell $D$ mesons. The results contain arbitrary constants, which are fixed so as to match previous QCD sum rule calculations valid at higher…

High Energy Physics - Phenomenology · Physics 2015-06-25 F. O. Durães , F. S. Navarra , M. Nielsen , M. R. Robilotta

We collect spectra extracted in the $I=\ell=1$ $\pi\pi$ sector provided by various lattice QCD collaborations and study the $m_\pi$ dependence of $\rho$-meson properties using Hamiltonian Effective Field Theory (HEFT). In this unified…

High Energy Physics - Lattice · Physics 2024-03-18 Kang Yu , Yan Li , Jia-Jun Wu , Derek B. Leinweber , Anthony W. Thomas

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

The muon anomalous magnetic moment $a_\mu$ and the hadronic vacuum polarization are examined using data analyzed within the framework of a suitably broken HLS model. The analysis relies on all available scan data samples and leaves…

High Energy Physics - Phenomenology · Physics 2015-05-28 M. Benayoun , P. David , L. DelBuono , F. Jegerlehner

We present a calculation of the pion form factor using overlap fermions on 2+1-flavor domain-wall configurations on a $24^3\times 64$ lattice with $a=0.11 \, {\rm{fm}}$ and on a $32^3 \times 64$ lattice with $a=0.143 \, {\rm{fm}}$ generated…

High Energy Physics - Lattice · Physics 2018-10-31 Gen Wang , Jian Liang , Terrence Draper , Keh-Fei Liu , Yi-Bo Yang

We discuss the evaluation of the transition form factor (TFF) $F^{\gamma*\gamma\pi^0}(Q^2)$ by means of QCD theory and by state-space reconstruction from topological data analysis. We first calculate this quantity in terms of quark-gluon…

High Energy Physics - Phenomenology · Physics 2019-06-21 N. G. Stefanis

The pion wave function is discussed in the light of the recent CLEO data on the pion gamma transition form factor. It turns out that the wave function is close to the asymptotic form whereas wave functions strongly concentrated in the…

High Energy Physics - Phenomenology · Physics 2009-08-25 P. Kroll , M. Raulfs

We reformulate the Thirring model in $D$ $(2 \le D < 4)$ dimensions as a gauge theory by introducing $U(1)$ hidden local symmetry (HLS) and study the dynamical mass generation of the fermion through the Schwinger-Dyson (SD) equation. By…

High Energy Physics - Theory · Physics 2009-10-28 Taichi Itoh , Yoonbai Kim , Masaki Sugiura , Koichi Yamawaki

Based on the light-cone (LC) framework and the $k_T$ factorization formalism, the transverse momentum effects and the different helicity components' contributions to the pion form factor $F_{\pi}(Q^2)$ are recalculated. In particular, the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Xing-Gang Wu , Tao Huang

We study properties of hadrons in the O(4) linear $\sigma$ model, where we take into account fluctuations of mesons around their mean field values using the Gaussian functional (GF) method. In the GF method we calculate dressed $\sigma$ and…

Nuclear Theory · Physics 2015-04-23 Hua-Xing Chen , Shotaro Imai , Hiroshi Toki , Li-Sheng Geng

We discuss the pion form factor calculation in QCD.We shortly consider the main points of the nonlocal condensate QCD sum rule approach and show its results for the pion form factor, $F_\pi(Q^2)$. These results are compared with predictions…

High Energy Physics - Phenomenology · Physics 2015-05-20 Alexander P. Bakulev

Pseudo-Goldstone modes appear in many physical systems and display robust universal features. First, their mass $m$ obeys the so-called Gell-Mann-Oakes-Renner (GMOR) relation $f^2\,m^2=H\,\bar{\sigma}$, with $f$ the Goldstone stiffness, $H$…

High Energy Physics - Phenomenology · Physics 2022-12-26 Xuanmin Cao , Matteo Baggioli , Hui Liu , Danning Li

Using a symmetry-preserving truncation of the quantum field equations describing hadron properties, parameter-free predictions are delivered for pion and kaon elastic electromagnetic form factors, $F_{P=\pi,K}$, thereby unifying them with…

High Energy Physics - Phenomenology · Physics 2024-06-21 Zhao-Qian Yao , Daniele Binosi , Craig D. Roberts

We investigate the pion scalar form factor in the Meiman-Okubo framework, implementing the phase below the inelastic $K\bar K$ threshold, where it is known from the $\pi\pi$ scalar isoscalar phase shift $\delta_0^0$ by Watson theorem.…

High Energy Physics - Phenomenology · Physics 2018-09-19 Irinel Caprini