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We study theoretically the effects of finite volume for pipi scattering in order to extract physical observables for infinite volume from lattice QCD. We compare three different approaches for pipi scattering (lowest order Bethe-Salpeter…

High Energy Physics - Lattice · Physics 2015-06-05 M. Albaladejo , J. A. Oller , E. Oset , G. Rios , L. Roca

We present a generalization of the relativistic, finite-volume, three-particle quantization condition for non-identical pions in isosymmetric QCD. The resulting formalism allows one to use discrete finite-volume energies, determined using…

High Energy Physics - Lattice · Physics 2021-01-01 Maxwell T. Hansen , Fernando Romero-López , Stephen R. Sharpe

We present a determination of nucleon-nucleon scattering phase shifts for l >= 0. The S, P, D and F phase shifts for both the spin-triplet and spin-singlet channels are computed with lattice Quantum ChromoDynamics. For l > 0, this is the…

High Energy Physics - Lattice · Physics 2016-12-28 Evan Berkowitz , Thorsten Kurth , Amy Nicholson , Balint Joo , Enrico Rinaldi , Mark Strother , Pavlos M. Vranas , Andre Walker-Loud

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 for the first time a determination of the energy dependence of the isoscalar $\pi\pi$ elastic scattering phase-shift within a first-principles numerical lattice approach to QCD. Hadronic correlation functions are computed…

High Energy Physics - Phenomenology · Physics 2017-01-18 Raul A. Briceno , Jozef J. Dudek , Robert G. Edwards , David J. Wilson

The spectrum of excited states observed in the finite volume of lattice QCD is governed by the discrete symmetries of the cubic group. This finite group permits the mixing of orbital angular momentum quanta in the finite volume. As…

High Energy Physics - Lattice · Physics 2020-07-08 Yan Li , Jia-Jun Wu , Curtis D. Abell , Derek B. Leinweber , Anthony W. Thomas

Using lattice QCD we extract $\pi\pi$ scattering amplitudes with isospin--0,1,2 in low partial-waves at two values of the light quark mass corresponding to $m_\pi \sim 283$ and $330$ MeV. We confirm expectations of weak repulsion in…

High Energy Physics - Lattice · Physics 2023-10-16 Arkaitz Rodas , Jozef J. Dudek , Robert G. Edwards

We develop a comprehensive framework for extracting the pole position and properties of the doubly-charmed tetraquark $T_{\rm cc}^+(3875)$ from lattice QCD data using the relativistic three-particle formalism. This approach incorporates the…

High Energy Physics - Lattice · Physics 2025-02-12 Sebastian M. Dawid , Fernando Romero-López , Stephen R. Sharpe

Preliminary lattice QCD results for $D\pi$ scattering in isospin $I=\frac{1}{2}$ channel are presented. Utilizing the $N_f=2+1$ Wilson-Clover configuration at two volumes ($L^3 \times T=32^3 \times 96$ and $48^3 \times 96$) with the same…

High Energy Physics - Lattice · Physics 2023-12-05 Haobo Yan , Chuan Liu , Liuming Liu , Yu Meng , Hanyang Xing

We present results for the isospin-0 $\pi\pi$ s-wave scattering length calculated in twisted mass lattice QCD. We use three $N_f = 2$ ensembles with unitary pion mass at its physical value, 240~MeV and 330~MeV respectively. We also use a…

We present a direct lattice QCD calculation of the $\kappa$ meson decay width with the s-wave scattering phase shift for the isospin $I=1/2$ pion-kaon ($\pi K$) system. We employ a special finite size formula, which is the extension of the…

High Energy Physics - Lattice · Physics 2015-05-30 Ziwen Fu

We present a numerical exploration of the relativistic-field-theory (RFT) formalism for three pions with all possible values of non-maximal isospin, $I_{\pi\pi\pi} = 2$, $1$ and $0$. Using the generic-isospin extension of the RFT formalism…

High Energy Physics - Lattice · Physics 2025-08-18 Athari Alotaibi , Maxwell T. Hansen , Raúl A. Briceño

We study two- and three-particle scattering in the O(3) non-linear sigma model in 1+1 dimensions, focusing on the isospin-1 and isospin-2 channels for two particles, and the isospin-3 channel for three. We perform numerical simulations for…

High Energy Physics - Lattice · Physics 2022-12-22 Jorge Baeza-Ballesteros , Maxwell T. Hansen

Three-hadron spectroscopy is a key frontier in our understanding of the hadron spectrum. In recent years, significant formal and numerical advances have paved the way for studying three-hadron processes directly from lattice QCD, with…

High Energy Physics - Lattice · Physics 2025-04-02 Fernando Romero-López

Lattice quantum chromodynamics (QCD) will soon become the primary theoretical tool in rigorous studies of single- and multi-hadron sectors of QCD. It is truly ab initio meaning that its only parameters are those of standard model. The…

High Energy Physics - Lattice · Physics 2014-09-09 Zohreh Davoudi

In this work, we calculate meson-baryon scattering phase shifts in four channels using lattice QCD methods. From a set of calculations at four volumes, corresponding to spatial sizes of 2, 2.5, 3, and 4 fm, and a pion mass of m_pi ~ 390…

High Energy Physics - Lattice · Physics 2016-06-28 William Detmold , Amy Nicholson

We calculate the s-wave pion-pion scattering length in the isospin I=2 channel in lattice QCD for pion masses ranging from 270 Mev to 485 Mev using two flavors of maximally twisted mass fermions at a lattice spacing of 0.086 fm.…

High Energy Physics - Lattice · Physics 2010-11-26 Xu Feng , Karl Jansen , Dru B. Renner

We determine elastic and coupled-channel amplitudes for isospin-1 meson-meson scattering in $P$-wave, by calculating correlation functions using lattice QCD with light quark masses such that $m_\pi = 236$ MeV in a cubic volume of $\sim (4…

High Energy Physics - Phenomenology · Physics 2015-11-11 David J. Wilson , Raul A. Briceno , Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas

We present the first lattice QCD calculation of coupled $\pi\omega$ and $\pi\phi$ scattering, incorporating coupled $S$ and $D$-wave $\pi\omega$ in $J^P=1^+$. Finite-volume spectra in three volumes are determined via a variational analysis…

High Energy Physics - Lattice · Physics 2019-09-19 Antoni J. Woss , Christopher E. Thomas , Jozef J. Dudek , Robert G. Edwards , David J. Wilson

Coupled-channel $\pi K$ and $\eta K$ scattering amplitudes are determined by studying the finite-volume energy spectra obtained from dynamical lattice QCD calculations. Using a large basis of interpolating operators, including both those…

High Energy Physics - Phenomenology · Physics 2015-03-18 David J. Wilson , Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas