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Related papers: Pion distribution amplitude from lattice-QCD

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We point out that, in analogy with spin waves in antiferromagnets, all parameters describing the real-time propagation of soft pions at temperatures below the QCD chiral phase transition can be expressed in terms of static correlators. This…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. T. Son , M. A. Stephanov

Within the theory of Quantum Chromodynamics (QCD), the rich structure of hadrons can be quantitatively characterized, among others, using a basis of universal non-perturbative functions: parton distribution functions (PDFs), generalized…

High Energy Physics - Lattice · Physics 2019-06-14 Krzysztof Cichy , Martha Constantinou

We present the first lattice QCD calculation of the distribution amplitudes of longitudinally and transversely polarized vector mesons $K^*$ and $\phi$ using large momentum effective theory. We use the clover fermion action on three…

High Energy Physics - Lattice · Physics 2022-01-25 Jun Hua , Min-Huan Chu , Peng Sun , Wei Wang , Ji Xu , Yi-Bo Yang , Jian-Hui Zhang , Qi-An Zhang

We present an investigation of the electromagnetic pion form factor, $F_\pi(Q^2)$, at small values of the four-momentum transfer $Q^2$ ($\lesssim 0.25$ GeV$^2$), based on the gauge configurations generated by European Twisted Mass…

Lattice QCD spectra can be used to constrain partial-wave scattering amplitudes that, while satisfying unitarity, do not have to respect crossing symmetry and analyticity. This becomes a particular problem when extrapolated far from real…

High Energy Physics - Lattice · Physics 2024-03-07 Arkaitz Rodas , Jozef J. Dudek , Robert G. Edwards

We study the topological susceptibility, chi, in QCD with two quark flavours using the lattice field configurations recently produced by the UKQCD collaboration. We find clear evidence for the expected suppression at small quark mass, and…

High Energy Physics - Phenomenology · Physics 2007-05-23 UKQCD Collaboration , A. Hart , M. Teper

A comprehensive analysis of $\pi K\rightarrow \pi K$ and $\pi\pi\rightarrow K\bar K$ amplitudes at large unphysical pion mass for all important partial waves is presented. A set of crossing-symmetric partial-wave hyperbolic dispersion…

High Energy Physics - Phenomenology · Physics 2025-08-01 Xiong-Hui Cao , Feng-Kun Guo , Zhi-Hui Guo , Qu-Zhi Li

The leading-twist parton distribution amplitudes (PDAs) of ground-state $^1S_0$ and $^3S_1$ $c\bar c$- and $b\bar b$-quarkonia are calculated using a symmetry-preserving continuum treatment of the meson bound-state problem which unifies the…

Nuclear Theory · Physics 2017-03-08 Minghui Ding , Fei Gao , Lei Chang , Yu-Xin Liu , Craig D. Roberts

We calculate the leading-twist light-cone distribution amplitudes of the light $\Lambda$ baryon using lattice methods within the framework of large momentum effective theory. Our numerical computations are conducted employing $N_f=2+1$…

High Energy Physics - Lattice · Physics 2025-02-24 Min-Huan Chu , Haoyang Bai , Jun Hua , Jian Liang , Xiangdong Ji , Andreas Schafer , Yushan Su , Wei Wang , Yi-Bo Yang , Jun Zeng , Jian-Hui Zhang , Qi-An Zhang

It has been pointed out that the recent BaBar data on the pi gamma^* -> gamma transition form factor F_{pi gamma}(Q^2) at low (high) momentum transfer squared Q^2 indicate an asymptotic (flat) pion distribution amplitude. These seemingly…

High Energy Physics - Phenomenology · Physics 2009-11-05 Hsiang-nan Li , Satoshi Mishima

In this paper, we investigate the distribution amplitudes (DAs) of pseudoscalar mesons within the light-front quark model (LFQM), and the $n$-th Gegenbauer moment $a_n(\mu)$, $\xi$-moment $\langle \xi^n\rangle$ and transverse moment…

High Energy Physics - Phenomenology · Physics 2026-01-06 Xiao-Nan Li , Shuai Xu , Qin Chang

The photon is a very interesting object for QCD studies since it has both a pointlike coupling to quarks, which yields a perturbative part of photon's wave function, and a non-perturbative coupling related to the magnetic susceptibility of…

High Energy Physics - Phenomenology · Physics 2009-07-03 L. Szymanowski

Results of the chiral quark models for the soft matrix elements involving pions and photons, relevant for high-energy processes, are reviewed. We discuss quantities related to the generalized parton distributions of the pion: the parton…

High Energy Physics - Phenomenology · Physics 2009-08-31 Wojciech Broniowski , Enrique Ruiz Arriola

We present a comprehensive study of the electromagnetic form factor, the decay constant and the mass of the pion computed in lattice QCD with two degenerate O(a)-improved Wilson quarks at three different lattice spacings in the range…

High Energy Physics - Lattice · Physics 2015-06-16 Bastian B. Brandt , Andreas Juttner , Hartmut Wittig

We derive one-loop matching relations for the Ioffe-time distributions related to the pion distribution amplitude (DA) and generalized parton distributions (GPDs). They are obtained from a universal expression for the one-loop correction in…

High Energy Physics - Phenomenology · Physics 2019-12-25 Anatoly Radyushkin

The pion-pion scattering amplitudes provided by second-order chiral perturbation theory are confronted with known rigorous constraints derived from the axioms of quantum field theory. We mainly test constraints restricting the…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. Ananthanarayan , D. Toublan , G. Wanders

The study of the $\gamma^* N\rightarrow \Delta$ reaction presents the best quantitative method to explore the deviation of hadron shapes from spherical symmetry (nonspherical amplitudes). Significant non-spherical electric (E2) and Coulomb…

Nuclear Experiment · Physics 2015-06-16 N. Sparveris

The profile of the pion valence quark distribution function (DF) remains controversial. Working from the concepts of QCD effective charges and generalised parton distributions, we show that since the pion elastic electromagnetic form factor…

High Energy Physics - Phenomenology · Physics 2025-10-29 Xiaobin Wang , Lei Chang , Minghui Ding , Khepani Raya , Craig D. Roberts

The dimensionless parameter $\xi = M_\pi^2/(16 \pi^2 F_\pi^2)$, where $F_\pi$ is the pion decay constant and $M_\pi$ is the pion mass, is expected to control the convergence of chiral perturbation theory applicable to QCD. Here we…

High Energy Physics - Lattice · Physics 2008-11-26 D. J. Cecile , Shailesh Chandrasekharan

Building upon our recent study arXiv:1709.04325, we investigate the feasibility of calculating the pion distribution amplitude from suitably chosen Euclidean correlation functions at large momentum. We demonstrate in this work the advantage…