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Aiming at self-consistent descriptions of multiquark hadrons (such as tetraquarks, pentaquarks, hexaquarks) by means of QCD sum rules, we note that the totality of contributions to two-point or three-point correlation functions that…

High Energy Physics - Phenomenology · Physics 2023-01-11 Wolfgang Lucha , Dmitri Melikhov , Hagop Sazdjian

We present the first complete next-to-next-to-next-to-leading-order calculation of the matching coefficients that link unpolarized flavor non-singlet parton distribution functions with lattice QCD computable correlation functions. By using…

High Energy Physics - Phenomenology · Physics 2024-10-11 Chen Cheng , Li-Hong Huang , Xiang Li , Zheng-Yang Li , Yan-Qing Ma

We study the $\bar b \bar b u d$ tetraquark with quantum numbers $I(J^P) = 0(1^+)$ as well as the $\bar b \bar b u s$ tetraquark with quantum numbers $J^P = 1^+$ using lattice QCD. We improve on existing work by including both local and…

High Energy Physics - Lattice · Physics 2024-09-19 Constantia Alexandrou , Jacob Finkenrath , Theodoros Leontiou , Stefan Meinel , Martin Pflaumer , Marc Wagner

We present a technique which permits the calculation of two-point functions of operators containing one heavy quark and an arbitrary number of light quarks as analytic functions of the heavy-quark mass. It is based on the standard Jacobi…

High Energy Physics - Lattice · Physics 2010-11-01 D. S. Henty , R. D. Kenway

We introduce a method for constructing global approximations to correlation functions of strongly interacting quantum field theories, starting from perturbative results. The key idea is to employ interpolation method, such as the two-point…

Strongly Correlated Electrons · Physics 2026-05-11 Yuanran Zhu , Yang Yu , Efekan Kökcü , Emanuel Gull , Chao Yang

We present an unquenched calculation of the quark propagator in Landau gauge with 2+1 flavors of dynamical quarks. We study the scaling behavior of the quark propagator in full QCD on two lattices with different lattice spacings and similar…

High Energy Physics - Lattice · Physics 2010-03-04 Maria B. Parappilly , Patrick O. Bowman , Urs M. Heller , Derek B Leinweber , Anthony G. Williams , J. B. Zhang

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…

We study the coupling of a tetraquark system to an exchanged meson-meson channel, using a pure gluonic theory based four-quark potential {\em matrix} model which is known to fit well a large number of data points for lattice simulations of…

High Energy Physics - Phenomenology · Physics 2011-03-09 M. Imran Jamil , Bilal Masud

The complete knowledge of a theory is encoded in its correlation functions. Thus non-perturbative effects, like confinement in QCD, is necessarily contained in these correlation functions. As a consequence, a number of confinement scenarios…

High Energy Physics - Lattice · Physics 2013-10-31 Tajdar Mufti , Axel Maas

We use dimensional recurrence relations and analyticity to calculate four-loop propagator-type master integrals in the heavy-quark effective theory. Compared to previous applications of the DRA method, we apply a new technique of fixing…

High Energy Physics - Phenomenology · Physics 2023-03-01 Roman N. Lee , Andrey F. Pikelner

This note is aimed at presenting a new algebraic approach to momentum-space correlators in conformal field theory. As an illustration we present a new Lie-algebraic method to compute frequency-space two-point functions for charged scalar…

High Energy Physics - Theory · Physics 2013-12-13 Satoshi Ohya

Progress in determining the spectrum of excited baryons and mesons in lattice QCD is described. Large sets of carefully-designed hadron operators have been studied and their effectiveness in facilitating the extraction of excited-state…

High Energy Physics - Lattice · Physics 2015-05-18 C. Morningstar , A. Bell , J. Bulava , E. Engelson , J. Foley , K. J. Juge , D. Lenkner , M. Peardon , S. Wallace , C. H. Wong

A recently proposed method of calculating scalar two-loop propagator and vertex functions with massive particles is illustrated with simple examples. A double integral representation is derived with the example of a propagator function. An…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrzej Czarnecki

Exploring nuclear physics through the fundamental constituents of the strong force -- quarks and gluons -- is a formidable challenge. While numerical calculations using lattice quantum chromodynamics offer the most promising approach for…

High Energy Physics - Lattice · Physics 2024-12-19 Debsubhra Chakraborty , Piyush Srivastava , Arpith Kumar , Nilmani Mathur

Considering four-point correlation functions of color-singlet quark bilinears, we investigate, in the large-$N_{\mathrm{c}}$ limit of QCD, the subleading diagrams that involve, in the $s$-channel of meson-meson scattering amplitudes,…

High Energy Physics - Phenomenology · Physics 2017-12-20 Wolfgang Lucha , Dmitri Melikhov , Hagop Sazdjian

The representation of quark distribution functions in terms of nonlocal operators is combined with a simple diquark spectator model. This allows us to estimate these functions for the nucleon ensuring correct crossing and support…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. J. Mulders , J. Rodrigues

We discuss in detail a method to study transverse momentum dependent parton distribution functions (TMDs) using lattice QCD. To develop the formalism and to obtain first numerical results, we directly implement a bi-local quark-quark…

High Energy Physics - Lattice · Physics 2012-07-17 Bernhard U. Musch , Philipp Hägler , John W. Negele , Andreas Schäfer

Recently there has been progress on the calculation of n-point correlation functions with two "heavy" (with large quantum numbers) states at strong coupling. We extend these findings by computing three-point functions corresponding to a…

High Energy Physics - Theory · Physics 2011-08-11 D. Arnaudov , R. C. Rashkov , T. Vetsov

Effects of four-Fermi-type new interactions are studied in top-quark pair production and their subsequent decays at future e^+e^- colliders. Secondary-lepton-energy distributions are calculated for arbitrary longitudinal beam polarizations.…

High Energy Physics - Phenomenology · Physics 2016-08-25 B. Grzadkowski , Z. Hioki , M. Szafranski

A significant component of the cost of making predictions from lattice QCD stems from the computation of correlation functions on a given ensemble of gauge fields. This cost depends on the observable of interest and the details of its…

High Energy Physics - Lattice · Physics 2026-05-04 Tim Harris