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A systematic way to constructing optimized interpolating operators for two-hadron systems is developed by incorporating inter-hadron spatial wavefunctions. The wavefunctions can be obtained from an iterative process with an appropriate…

High Energy Physics - Lattice · Physics 2025-07-15 Yan Lyu , Sinya Aoki , Takumi Doi , Tetsuo Hatsuda , Kotaro Murakami , Takuya Sugiura

We present an efficient method for extracting energy levels from lattice QCD correlation functions by computing the eigenvalues of the transfer matrix associated with the lattice QCD Hamiltonian. While mathematically and numerically…

High Energy Physics - Lattice · Physics 2025-06-25 Debsubhra Chakraborty , Dhruv Sood , Archana Radhakrishnan , Nilmani Mathur

The physics of high-energy colliders relies on the knowledge of different non-perturbative parton correlators, such as parton distribution functions, that encode the information on universal hadron structure and are thus the main building…

Quantum Physics · Physics 2021-08-04 M. G. Echevarria , I. L. Egusquiza , E. Rico , G. Schnell

We propose a fully non-perturbative method to compute inelastic lepton-nucleon ($\ell N$) scattering cross sections using lattice QCD. The method is applicable even at low energies, such as the energy region relevant for the recent and…

High Energy Physics - Lattice · Physics 2021-01-04 Hidenori Fukaya , Shoji Hashimoto , Takashi Kaneko , Hiroshi Ohki

We review the latest progress in lattice QCD calculations of the partonic structure of hadrons. This structure is, in particular, described in terms of $x$-dependent distributions, the simplest of which are the standard parton distribution…

High Energy Physics - Lattice · Physics 2021-10-18 Krzysztof Cichy

A previously-proposed method of constructing spatially-extended gauge-invariant three-quark operators for use in Monte Carlo lattice QCD calculations is tested, and a methodology for using these operators to extract the energies of a large…

High Energy Physics - Lattice · Physics 2007-05-23 Adam C. Lichtl

Progress in computing the spectrum of excited baryons and mesons in lattice QCD is described. Large sets of spatially-extended hadron operators are used. The need for multi-hadron operators in addition to single-hadron operators is…

High Energy Physics - Lattice · Physics 2011-11-04 John Bulava , Justin Foley , You-Cyuan Jhang , Keisuke J. Juge , David Lenkner , Colin Morningstar , Chik Him Wong

The construction of the operators and correlators required to determine the excited baryon spectrum is presented, with the aim of exploring the spatial and spin structure of the states while minimizing the number of propagator inversions.…

High Energy Physics - Lattice · Physics 2014-11-17 LHP Collaboration , S. Basak , R. Edwards , R. Fiebig , G. Fleming , U. M. Heller , C. Morningstar , D. Richards , I. Sato , S. Wallace

We present the first calculation of the hadronic tensor on the lattice for the nucleon. The hadronic tensor can be used to extract the structure functions in deep inelastic scatterings and also provide information for the neutrino-nucleon…

High Energy Physics - Phenomenology · Physics 2020-07-01 Jian Liang , Terrence Draper , Keh-Fei Liu , Alexander Rothkopf , Yi-Bo Yang

We propose a method to substantially improve the signal-to-noise ratio of lattice correlation functions for bosonic operators or other operator combinations with disconnected contributions. The technique is applicable for correlations…

High Energy Physics - Lattice · Physics 2022-05-23 Luis Altenkort , Alexander M. Eller , O. Kaczmarek , Lukas Mazur , Guy D. Moore , H. -T. Shu

We investigate an alternative to the Sequential Propagator Method used in Lattice QCD calculations of semileptonic form factors. We replace the sequential propagator with a stochastic propagator so that, in principle, all momentum and sink…

High Energy Physics - Lattice · Physics 2010-11-05 Richard Evans , Gunnar Bali , Sara Collins

The low-energy spectrum and scattering of two-nucleon systems are studied with lattice quantum chromodynamics using a variational approach. A wide range of interpolating operators are used: dibaryon operators built from products of…

Progress by the Lattice Hadron Physics Collaboration in determining the baryon and meson resonance spectrum of QCD using Monte Carlo methods with space-time lattices is described. The extraction of excited-state energies necessitates the…

High Energy Physics - Lattice · Physics 2017-08-23 K. J. Juge , A. Lichtl , C. Morningstar , R. G. Edwards , D. G. Richards , S. Basak , S. Wallace , I. Sato , G. T. Fleming

We propose a regression algorithm that utilizes a learned dictionary optimized for sparse inference on a D-Wave quantum annealer. In this regression algorithm, we concatenate the independent and dependent variables as a combined vector, and…

Quantum Physics · Physics 2021-01-05 Nga T. T. Nguyen , Garrett T. Kenyon , Boram Yoon

In these proceedings we address the computation of quark-line disconnected diagrams in lattice QCD. The evaluation of these diagrams is required for many phenomenologically interesting observables, but suffers from large statistical errors…

High Energy Physics - Lattice · Physics 2020-01-27 Leonardo Giusti , Tim Harris , Alessandro Nada , Stefan Schaefer

Partially twisted boundary conditions are widely used for improving the momentum resolution in lattice computations of hadronic correlation functions. The method is however expensive since every additional twist requires computing…

High Energy Physics - Lattice · Physics 2021-12-17 Nils Asmussen , Alessandro Barone , Andreas Jüttner

We compute the quark number susceptibilities in two flavor QCD for staggered fermions by adding the chemical potential as a Lagrange multiplier for the point-split number density term. Since lesser number of quark propagators are required…

High Energy Physics - Lattice · Physics 2014-11-21 R. V. Gavai , Sayantan Sharma

The computation of many correlation functions in lattice QCD is severely hindered by a signal-to-noise problem. Recent developments in the factorization of both the fermion propagator and determinant pave the way for the implementation of…

High Energy Physics - Lattice · Physics 2018-12-06 Leonardo Giusti , Tim Harris , Alessandro Nada , Stefan Schaefer

I review the results of hadron spectroscopy calculations from lattice QCD for an intended audience of low energy hadronic physicists. I briefly introduce the ideas of numerical lattice QCD. The various systematic errors, such as the lattice…

High Energy Physics - Lattice · Physics 2016-11-23 Craig McNeile

We present first results of a recently started lattice QCD investigation of antiheavy-antiheavy-light-light tetraquark systems including scattering interpolating operators in correlation functions both at the source and at the sink. In…

High Energy Physics - Lattice · Physics 2022-10-18 Marc Wagner , Constantia Alexandrou , Jacob Finkenrath , Theodoros Leontiou , Stefan Meinel , Martin Pflaumer