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Related papers: Pion Distribution Amplitude from Lattice QCD

200 papers

We use a chiral model for pion interactions, in the inverse amplitude formalism, to perform a simultaneous analysis of lattice QCD results for pion-pion scattering in all three isospin channels. The input is the finite-volume two-pion…

High Energy Physics - Lattice · Physics 2020-01-01 Maxim Mai , Chris Culver , Andrei Alexandru , Michael Döring , Frank X. Lee

The pion masses and the pion decay constant are calculated to 1-loop order in twisted mass Wilson chiral perturbation theory, assuming a large pion mass splitting and tuning to maximal twist. Taking the large mass splitting at leading order…

High Energy Physics - Lattice · Physics 2010-12-13 Oliver Bar

We deliver an exploratory lattice QCD examination of the $K^\ast(892)$ meson decay width with the help of the p-wave scattering phase $\delta_1$ of pion-kaon ($\pi K$) system in the isospin $I=1/2$ channel, which are extracted by the…

High Energy Physics - Lattice · Physics 2012-11-09 Ziwen Fu , Kan Fu

Based on lattice simulations with two flavours of dynamical, O(a)-improved Wilson fermions we present results for the first two moments of the distribution amplitudes of pseudoscalar mesons at several values of the valence quark masses. By…

High Energy Physics - Lattice · Physics 2008-11-26 V. M. Braun , M. Göckeler , R. Horsley , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , W. Schroers , H. Stüben , J. M. Zanotti

Momentum and spatial distributions of quarks and gluons inside hadrons are typically encoded in the so-called generalized parton distributions (GPDs). GPDs are multi-dimensional quantities that are very challenging to extract, both…

We calculate the electromagnetic form factor of the pion in quenched lattice QCD. The non-perturbatively improved Sheikoleslami-Wohlert lattice action is used together with the consistently O(a) improved current. We calculate the pion form…

High Energy Physics - Lattice · Physics 2009-11-10 J. van der Heide , J. H. Koch , E. Laermann

Considering, as a limit case, an approximately flat pion distribution amplitude, which is determined from the hardest, in momentum space, solution of the Bethe-Salpeter equation for the pion wave function, we compute the pion transition…

High Energy Physics - Phenomenology · Physics 2020-01-22 D. A. Fagundes , E. G. S. Luna , A. A. Natale , M. Pelaez

We present a formula that allows one to calculate the pion form factor in the timelike region 2mpi <= sqrt{s} <= 4mpi in lattice QCD. The form factor quantifies the contribution of two-pion states to the vacuum polarization. It must be…

High Energy Physics - Lattice · Physics 2012-04-04 Harvey B. Meyer

We present lattice results for the isovector unpolarized parton distribution with nonperturbative RI/MOM-scheme renormalization on the lattice. In the framework of large-momentum effective field theory (LaMET), the full Bjorken-$x$…

High Energy Physics - Lattice · Physics 2018-01-24 Jiunn-Wei Chen , Tomomi Ishikawa , Luchang Jin , Huey-Wen Lin , Yi-Bo Yang , Jian-Hui Zhang , Yong Zhao

We study the correction to the radiative $\pi^0$ decay width due to finite light quark mass. Using lattice QCD with the overlap fermion formulation, we calculate the three-point function of the form $<PV_\mu V_\nu>$ in the (Euclidean)…

High Energy Physics - Lattice · Physics 2011-04-05 E. Shintani , S. Aoki , S. Hashimoto , T. Onogi , N. Yamada

We extend the usual chiral perturbation theory framework ($\chi$PT) to allow the inclusion of a light dynamical isosinglet scalar. Using lattice QCD results, and a few phenomenological inputs, we explore the parameter space of the effective…

High Energy Physics - Phenomenology · Physics 2015-05-30 J. Soto , P. Talavera , J. Tarrús

We present results of the first ab initio lattice QCD calculation of the normalization constants and first moments of the leading twist distribution amplitudes of the full baryon octet, corresponding to the small transverse distance limit…

In this proceeding we determine the distribution amplitude of the $\eta_c$-meson from first principles. This quantity appears as a consequence of factorization theorems, and it is necessary to compute the amplitude of multiple exclusive…

High Energy Physics - Lattice · Physics 2024-06-19 Benoît Blossier , Mariane Mangin-Brinet , José Manuel Morgado Chávez , Teseo San José

The rare decays of a kaon into a pion and a charged lepton/antilepton pair proceed via a flavour changing neutral current and therefore may only be induced beyond tree level in the Standard Model. This natural suppression makes these decays…

High Energy Physics - Lattice · Physics 2017-04-04 Norman H. Christ , Xu Feng , Andreas Juttner , Andrew Lawson , Antonin Portelli , Christopher T. Sachrajda

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

We extend the application of lattice QCD to the two-photon-mediated, order $\alpha^2$ rare decay $\pi^0\rightarrow e^+ e^-$. By combining Minkowski- and Euclidean-space methods we are able to calculate the complex amplitude describing this…

High Energy Physics - Lattice · Physics 2023-05-24 Norman Christ , Xu Feng , Luchang Jin , Cheng Tu , Yidi Zhao

We present a first Wilson twisted mass fermion calculation of the matrix element between pion states of the twist-2 operator, which is related to the the lowest moment < x > of the valence quark parton distribution function in a pion. Using…

High Energy Physics - Lattice · Physics 2009-11-11 S. Capitani , K. Jansen , M. Papinutto , A. Shindler , C. Urbach , I. Wetzorke

In this work, we perform a lattice QCD calculation of the branching ratios and the form factors of radiative leptonic decays $P \to \ell \nu_\ell \gamma$ ($P = \pi, K$) using $N_f=2+1$ domain wall fermion ensembles generated by the RBC and…

High Energy Physics - Lattice · Physics 2026-04-29 Peter Boyle , Norman H. Christ , Xu Feng , Taku Izubuchi , Luchang Jin , Christopher T. Sachrajda , Xin-Yu Tuo

We propose a reconstruction of the full $(x, \xi, t)$ dependence of unpolarized isovector proton generalized parton distributions (GPDs) $H^{u-d}$ and $E^{u-d}$ from lattice QCD data in the pseudo-distribution formalism. For the first time,…

Precise exploration of the partonic structure of the nucleon is one of the most important aims of high-energy physics. In recent years, it has become possible to address this topic with first-principle lattice QCD investigations. In this…

High Energy Physics - Lattice · Physics 2022-12-14 Manjunath Bhat , Wojciech Chomicki , Krzysztof Cichy , Martha Constantinou , Jeremy R. Green , Aurora Scapellato