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The first part of this report reviews recent developments at the interface between lattice work on QCD with light dynamical quarks, effective field theory and low energy precision experiments. Then I discuss how dispersion theory can be…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Leutwyler

We calculate the s-wave scattering length in the $0^+$ sector of $\eta_c\eta_c$ and the $2^+$ sector of $J/\psi J/\psi$ using three $N_f=2$ twisted mass gauge ensembles with the lattice spacing $a=0.0667,0.085,0.098$ fm, respectively. The…

High Energy Physics - Lattice · Physics 2025-04-16 Yu Meng , Chuan Liu , Xin-Yu Tuo , Haobo Yan , Zhaolong Zhang

We present the first systematic study of the radiative decays of charmed mesons using $2+1$-flavor clover fermion gauge ensembles generated by the CLQCD collaboration. One of the ensembles is at the physical pion mass, and one has a fine…

High Energy Physics - Lattice · Physics 2026-05-18 Wen-Zheng Hou , Nan Wang , Long-Cheng Gui , Jun Hua , Jian Liang , Jun Shi , Yu Meng

The isospin-breaking decay $X(3872)\to(D^*\bar D+ \bar D^*D) \to\pi^0D\bar D\to\pi^0\pi^+\pi^-$ is discussed. In its amplitude there is a triangle logarithmic singularity, due to which the dominant contribution to…

High Energy Physics - Phenomenology · Physics 2019-07-03 N. N. Achasov , G. N. Shestakov

Earlier work suggested that the in-medium $\pi N$ threshold isovector amplitude $b_1(\rho)$ gets renormalized in pionic atoms by about 30% away from its $\rho=0$ free-space value, relating such renormalization to the leading low-density…

Nuclear Theory · Physics 2019-04-12 E. Friedman , A. Gal

Using the tadpole improved clover Wilson quark action on coarse anisotropic lattices, the $\pi\pi$ scattering length in the I=2 channel is calculated within quenched approximation. We show that such a calculation is feasible using small…

High Energy Physics - Lattice · Physics 2007-05-23 Chuan Liu , Junhua Zhang , Ying Chen , J. P. Ma

We determine the rate for $D_s^* \rightarrow D_s \gamma$ for the first time from lattice QCD and include the full effect of $u$, $d$ and $s$ sea quarks. The valence quarks are implemented using the Highly Improved Staggered Quark (HISQ)…

High Energy Physics - Lattice · Physics 2014-06-11 G. C. Donald , C. T. H. Davies , J. Koponen , G. P. Lepage

We report a lattice QCD determination of the $\pi\gamma \to \pi\pi$ transition amplitude for the $P$-wave, $I=1$ two-pion final state, as a function of the photon virtuality and $\pi\pi$ invariant mass. The calculation was performed with…

We study two coupling constants reported as predictions of the sigma model. We obtain an spectral distribution, in terms of the \sigma meson regularized self- energy in one loop order, which is consistently with the Breit-Wigner…

Nuclear Theory · Physics 2010-03-19 M. C. Menchaca Maciel , J. R. Morones Ibarra

We describe the method for extracting the elastic scattering phase shift from a lattice simulation at an introductory level, for non-lattice practitioners. We consider the scattering in a resonant channel, where the resulting phase shift…

High Energy Physics - Phenomenology · Physics 2011-10-24 S. Prelovsek , C. B. Lang , D. Mohler

Based on the analysis of 6.031*10^7 K+- --> pi0 pi0 pi+- decays, the NA48/2 collaboration has recently determined the S-wave pi-pi scattering lengths a_0-a_2 with high precision. In addition, the scattering length a_2 has been independently…

High Energy Physics - Phenomenology · Physics 2015-03-19 Juerg Gasser , Bastian Kubis , Akaki Rusetsky

We present the first study of the masses and decay constants of the pseudoscalar $ D $ mesons in two flavors lattice QCD with domain-wall fermion. The gauge ensembles are generated on the $24^3 \times 48 $ lattice with the extent $ N_s = 16…

High Energy Physics - Lattice · Physics 2014-07-31 Wen-Ping Chen , Yu-Chih Chen , Ting-Wai Chiu , Han-Yi Chou , Tian-Shin Guu , Tung-Han Hsieh

We present results for the $I=2$ $\pi\pi$ scattering length using $N_f=2+1+1$ twisted mass lattice QCD for three values of the lattice spacing and a range of pion mass values. Due to the use of Laplacian Heaviside smearing our statistical…

High Energy Physics - Lattice · Physics 2015-10-28 C. Helmes , C. Jost , B. Knippschild , C. Liu , J. Liu , L. Liu , C. Urbach , M. Ueding , Z. Wang , M. Werner

Using an improved "analytic K-matrix model", we reconsider the extraction of the sigma/f_0(600) and f_0(980) gamma-gamma widths from gamma-gamma to pi-pi scatterings data of Crystal Ball and Belle. Our main results are summarized in Tables…

High Energy Physics - Phenomenology · Physics 2011-01-04 G. Mennessier , S. Narison , X. -G. Wang

We determine the masses and pseudoscalar decay constants of D and D_s mesons employing lattice QCD with non-perturbatively O(a) improved Wilson quarks and a tree-level Symanzik-improved gauge action. Our analysis is based on the…

High Energy Physics - Lattice · Physics 2017-01-20 Sara Collins , Kevin Eckert , Jochen Heitger , Stefan Hofmann , Wolfgang Soeldner

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 study the s-wave I=2 \pi \Sigma and I=1 KN interactions from 2+1 flavor full lattice QCD simulation for relatively heavy quark mass corresponding to m_{\pi}=700 MeV. The s-wave meson-baryon potentials are obtained from the…

High Energy Physics - Lattice · Physics 2012-08-27 Yoichi Ikeda for HAL QCD Collaboration

We study the scattering lengths of charmonia (J/psi and eta_c) with light hadrons (pi, rho and N) by the quenched lattice QCD simulations on 24x24x24x48, 32x32x32x48 and 48x48x48x48 lattices with the lattice spacing a = 0.068 fm. The…

High Energy Physics - Lattice · Physics 2009-11-11 Kazuo Yokokawa , Shoichi Sasaki , Tetsuo Hatsuda , Arata Hayashigaki

We report the first lattice QCD study of the $s$-wave scattering of the $\bar{D}$-meson and the nucleon at the physical point, utilizing (2+1)-flavor configurations generated by the HAL QCD collaboration with a pion mass of $m_\pi\simeq…

High Energy Physics - Lattice · Physics 2026-03-13 Wren Yamada , Yan Lyu , Kotaro Murakami , Takumi Doi

We present a method to evaluate on the lattice the leading isospin breaking effects due to both the small mass difference between the up and down quarks and the QED interaction. Our proposal is applicable in principle to any QCD+QED gauge…

High Energy Physics - Lattice · Physics 2013-06-12 G. M. de Divitiis , R. Frezzotti , V. Lubicz , G. Martinelli , R. Petronzio , G. C. Rossi , F. Sanfilippo , S. Simula , N. Tantalo
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