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We present the first calculation in lattice QCD of the process $\gamma K \to K\pi$ in which the narrow $K^*$ vector resonance appears. Using a lattice on which the pion has a mass of 284 MeV, we determine the transition amplitude at 128…

High Energy Physics - Lattice · Physics 2023-01-11 Archana Radhakrishnan , Jozef Dudek , Robert Edwards

A theoretical study of Goldstone boson scattering based on the chiral Lagrangian with vector meson fields is presented. In application of a recently developed novel approach we extrapolate subthreshold partial-wave amplitudes into the…

High Energy Physics - Phenomenology · Physics 2017-08-23 I. V. Danilkin , M. F. M. Lutz

We apply a quark interchange model to spin-dependent and exotic meson-meson scattering. The model includes the complete set of standard quark model forces, including OGE spin-orbit and tensor and scalar confinement spin-orbit. Scattering…

Nuclear Theory · Physics 2014-11-18 T. Barnes , N. Black , E. S. Swanson

Phase shifts and resonance parameters can be obtained from finite-volume lattice spectra for interacting pairs of particles, moving with nonzero total momentum. We present a simple derivation of the method that is subsequently applied to…

High Energy Physics - Lattice · Physics 2012-11-07 M. Döring , U. -G. Meißner , E. Oset , A. Rusetsky

Lattice QCD studies of hadron-hadron interactions are performed by computing the energy levels of the system in a finite box. The shifts in energy levels proportional to inverse powers of the volume are related to scattering parameters in a…

High Energy Physics - Lattice · Physics 2014-11-17 Paulo F. Bedaque , Ikuro Sato , Andre Walker-Loud

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

A system of dispersive representations of the Omn\`es-Khuri-Treiman-Sawyer-Wali type for the final-state interactions in the amplitudes of the $K\to\pi\pi\pi$ weak transitions is constructed, under the assumptions that CP and isospin…

High Energy Physics - Phenomenology · Physics 2024-03-27 Véronique Bernard , Sébastien Descotes-Genon , Marc Knecht , Bachir Moussallam

The I=2 pipi scattering length is calculated in fully-dynamical lattice QCD with domain-wall valence quarks on the asqtad-improved coarse MILC configurations (with fourth-rooted staggered sea quarks) at four light-quark masses. Two- and…

High Energy Physics - Lattice · Physics 2008-11-26 Silas R. Beane , Thomas C. Luu , Kostas Orginos , Assumpta Parreno , Martin J. Savage , Aaron Torok , Andre Walker-Loud

We present our calculations for the $I$ = 1/2 and 3/2 $K-\pi$ s-wave scattering length with physical quark masses, extracted from the interaction energy of Euclidean two-point functions. We use the domain wall fermion action with physical…

High Energy Physics - Lattice · Physics 2023-11-03 Nils Asmussen , Felix Erben , Jonathan Flynn , Andreas Jüttner , Rajnandini Mukherjee , Christopher T. Sachrajda

We present the first calculation of coupled-channel meson-meson scattering in the isospin $=1$, $G$-parity negative sector, with channels $\pi \eta$, $K\overline{K}$ and $\pi \eta'$, in a first-principles approach to QCD. From the discrete…

High Energy Physics - Phenomenology · Physics 2016-05-18 Jozef J. Dudek , Robert G. Edwards , David J. Wilson

A method combining the Lagrange-mesh and the complex Kohn variational methods is developed for computing the $\mathcal{S}$ matrix of a 2$+$1 elastic scattering in the frame of three-body Coulomb systems. Resonance parameters can be obtained…

Quantum Physics · Physics 2024-05-28 Jean Servais , Jérémy Dohet-Eraly

A model field theory, in which the interaction between quarks is mediated by dressed vector boson exchange, is used to analyse the pionic sector of QCD. It is shown that this model, which incorporates dynamical chiral symmetry breaking,…

High Energy Physics - Phenomenology · Physics 2010-03-04 Craig D. Roberts , Reginald T. Cahill , Martin E. Sevior , Nicolangelo Iannella

Elastic scattering amplitudes for $I=0$ $DK$ and $I=0,1$ $D\bar{K}$ are computed in $S$, $P$ and $D$ partial waves using lattice QCD with light-quark masses corresponding to $m_\pi = 239$ MeV and $m_\pi = 391$ MeV. The $S$-waves contain…

High Energy Physics - Lattice · Physics 2021-02-22 Gavin K. C. Cheung , Christopher E. Thomas , David J. Wilson , Graham Moir , Michael Peardon , Sinéad M. Ryan

A pi-pi, Kbar-K, and rho-rho(omega-omega) fully coupled channel model is used to predict the lowest isospin S, P, D, F-wave phase shifts and inelasticities for elastic pi-pi scattering from threshold to 2.0 GeV. As input the S-matrix is…

Nuclear Theory · Physics 2009-10-30 W. M. Kloet , B. Loiseau

We use lattice field theory to study the finite-volume energy spectrum of the $\pi\pi$ system in $SU(2)$ chiral effective field theory (ChEFT) at leading order in the chiral expansion. \hl{This finite-volume spectrum can be directly related…

High Energy Physics - Lattice · Physics 2026-03-03 Cameron Cianci , Luchang Jin , Joshua Swaim

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

The stochastic Laplacian Heaviside (LapH) method has proven to be successful in hadronic calculations. In this work, with charm-light spectroscopy in mind, we set up and optimise the LapH procedure limiting ourselves to the evaluation of…

High Energy Physics - Lattice · Physics 2022-12-20 Michele Della Morte , Olmo Francesconi , Justus Tobias Tsang

We present a lattice QCD calculation of the characteristics of the $\rho$ meson decay. The study is carried out on spatially asymmetric boxes using nHYP-smeared clover fermions in the quenched approximation. The resonance mass and coupling…

High Energy Physics - Lattice · Physics 2011-11-10 Craig Pelissier , Andrei Alexandru , Frank X. Lee

In this paper, we investigate the HAL QCD potential in the $I=1$ $\pi \pi$ scattering using the hybrid method for all-to-all propagators, in which a propagator is approximated by low-eigenmodes and the remaining high-eigenmode part is…

High Energy Physics - Lattice · Physics 2020-07-15 Yutaro Akahoshi , Sinya Aoki , Tatsumi Aoyama , Takumi Doi , Takaya Miyamoto , Kenji Sasaki

With the aim of generating new constraints on the OZI suppressed couplings of chiral perturbation theory a set of six equations of the Roy and Steiner type for the $S$- and $P$-waves of the $\pi K$ scattering amplitudes is derived. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. Büttiker , S. Descotes-Genon , B. Moussallam