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Related papers: Finite-volume corrections to charge radii

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This work discusses reliability, possible obstacles and the future perspective of chiral extrapolation of lattice results. In the first part, chiral perturbation theory fits to lattice calculations of the nucleon mass are thoroughly…

High Energy Physics - Lattice · Physics 2007-05-23 Bernhard U. Musch

In order to calculate QED corrections to hadronic physical quantities by means of lattice simulations, a coherent description of electrically-charged states in finite volume is needed. In the usual periodic setup, Gauss's law and large…

High Energy Physics - Theory · Physics 2016-03-23 Biagio Lucini , Agostino Patella , Alberto Ramos , Nazario Tantalo

Lattice QCD calculations of nucleon form factors are restricted to discrete values of the Euclidean four-momentum transfer. Therefore, the extraction of radii typically relies on parametrizing and fitting the lattice QCD data to obtain its…

High Energy Physics - Lattice · Physics 2020-07-01 Constantia Alexandrou , Kyriakos Hadjiyiannakou , Giannis Koutsou , Konstantin Ottnad , Marcus Petschlies

Numerical evaluation of the path integral for QCD on a discrete space-time lattice has been used to calculate ground state matrix elements specifying moments of quark density and spin distributions. This talk will explain how these matrix…

High Energy Physics - Lattice · Physics 2008-11-26 J. W. Negele

The neutron charge radius is studied within a light-front model with different spin coupling schemes and wave functions. The cancellation of the contributions from the Foldy term and Dirac form factor to the neutron charge form factor is…

High Energy Physics - Phenomenology · Physics 2009-11-10 W. R. B. de Araújo , T. Frederico , M. Beyer , H. J. Weber

The aim of this paper is to investigate an efficient strategy that allows to obtain pi-pi phase shifts and rho meson properties from QCD lattice data with high precision. For this purpose we evaluate the levels of the pi-pi system in the…

High Energy Physics - Lattice · Physics 2015-03-20 Hua-Xing Chen , E. Oset

We will describe several pioneering efforts in the study of electromagnetic radiative corrections to semileptonic decay processes, with particular emphasis on the role of lattice QCD. These studies are essential for the precise extraction…

High Energy Physics - Lattice · Physics 2021-04-07 Chien-Yeah Seng

We develop a method to compute the pion transition form factor directly at arbitrary space-like photon momenta and use it to determine the $\pi^0$-pole contribution to the hadronic light-by-light scattering in the anomalous magnetic moment…

High Energy Physics - Lattice · Physics 2025-07-31 Tian Lin , Mattia Bruno , Xu Feng , Lu-Chang Jin , Christoph Lehner , Chuan Liu , Qi-Yuan Luo

Extensive studies have demonstrated that finite-range regularization (FRR) offers significantly improved chiral extrapolations for lattice QCD. These studies have typically relied on selecting the finite-regularization scale based upon…

High Energy Physics - Lattice · Physics 2009-07-03 Ross D. Young , Jonathan M. M. Hall , Derek B. Leinweber

In this paper we calculate the full one-loop finite volume corrections to the quantities $< x >_{u\pm d}$ within the framework of two-flavor baryon chiral perturbation theory and show estimates of these effects for the leading one-loop…

High Energy Physics - Lattice · Physics 2015-06-22 Ludwig Greil , Philipp Wein , Peter C. Bruns , Andreas Schäfer

Scattering and transition amplitudes with three-hadron final states play an important role in nuclear and particle physics. However, predicting such quantities using numerical Lattice QCD is very difficult, in part because of the effects of…

High Energy Physics - Lattice · Physics 2015-11-17 Maxwell T. Hansen

The leading finite-volume and thermal effects, arising in numerical lattice QCD calculations of $a^{\text{HVP,LO}}_\mu \equiv (g-2)^{\text{HVP,LO}}_\mu/2$, are determined to all orders with respect to the interactions of a generic,…

High Energy Physics - Lattice · Physics 2020-10-28 Maxwell T. Hansen , Agostino Patella

Using the Coulomb gauge formulation of QED we present a lattice QCD procedure to calculate the $\pi^+\pi^+$ scattering phase shift including the effects of the Coulomb potential which appears in this formulation. The approach described here…

High Energy Physics - Lattice · Physics 2022-08-31 Norman Christ , Xu Feng , Joseph Karpie , Tuan Nguyen

One of the great challenges of lattice QCD is to produce unambiguous predictions for the properties of physical hadrons. We review recent progress with respect to a major barrier to achieving this goal, namely the fact that computation time…

High Energy Physics - Lattice · Physics 2010-02-17 A. W. Thomas

We extend recently developed methods used for determining the electromagnetic charge radius and $a_\mu^{\pi\pi}$ to obtain a determination of the electromagnetic form factor of the pion, $F_\pi^V(t)$, in several significant kinematical…

High Energy Physics - Phenomenology · Physics 2019-01-02 B. Ananthanarayan , Irinel Caprini , Diganta Das

By combining the constraints of charge symmetry with new chiral extrapolation techniques and recent low-mass quenched lattice QCD simulations of the individual quark contributions to the electric charge radii of the baryon octet, we obtain…

High Energy Physics - Lattice · Physics 2010-02-17 D. B. Leinweber , S. Boinepalli , A. W. Thomas , P. Wang , A. G. Williams , R. D. Young , J. M. Zanotti , J. B. Zhang

We calculate pion vector and scalar form factors in two-flavor lattice QCD and study the chiral behavior of the vector and scalar radii <r^2>_{V,S}. For a direct comparison with chiral perturbation theory (ChPT), chiral symmetry is exactly…

High Energy Physics - Phenomenology · Physics 2014-11-20 Takashi Kaneko

We calculate the electric dipole moment of the nucleon induced by the QCD theta term. We use the gradient flow to define the topological charge and use $N_f = 2+1$ flavors of dynamical quarks corresponding to pion masses of $700$, $570$,…

High Energy Physics - Lattice · Physics 2021-01-27 Jack Dragos , Thomas Luu , Andrea Shindler , Jordy de Vries , Ahmed Yousif

We present a lattice QCD calculation of the pion scalar form factor and associated radii with fully controlled systematics. Lattice results are computed on a large set of 17 gauge ensembles with $N_f=2+1$ Wilson Clover-improved sea quarks.…

High Energy Physics - Lattice · Physics 2025-03-27 Konstantin Ottnad , Georg von Hippel

We calculate finite-volume corrections to the low-energy constants $\Sigma$ and $F$ in the epsilon-regime of QCD using partially quenched chiral perturbation theory in the supersymmetry formulation without a singlet particle. We comment on…

High Energy Physics - Lattice · Physics 2010-11-05 Christoph Lehner , Tilo Wettig