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Using the infinite-volume photon propagator, we developed a method which allows us to calculate electromagnetic corrections to stable hadron masses with only exponentially suppressed finite-volume effects. The key idea is that the infinite…

High Energy Physics - Lattice · Physics 2019-12-04 Xu Feng , Luchang Jin

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

The calculation of generalized parton distributions (GPDs) in lattice QCD was traditionally done by calculating matrix elements in the symmetric frame. Recent advancements have significantly reduced computational costs by calculating these…

It has been recently demonstrated that lightcone distribution amplitudes (LCDAs) for a heavy meson, defined in the heavy quark limit, can be extracted by simulating quasi-distribution amplitudes on the lattice with a large meson momentum…

High Energy Physics - Phenomenology · Physics 2024-11-22 Chao Han , Wei Wang , Jia-Lu Zhang , Jian-Hui Zhang

The determination of renormalization factors is of crucial importance in lattice QCD. They relate the observables obtained on the lattice to their measured counterparts in the continuum in a suitable renormalization scheme. Therefore, they…

High Energy Physics - Lattice · Physics 2013-03-28 M. Constantinou , M. Costa , M. Gockeler , R. Horsley , H. Panagopoulos , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

We investigate whether it is possible to extract the quark mass anomalous dimension and its scale dependence from the spectrum of the twisted mass Dirac operator in Lattice QCD. The answer to this question appears to be positive, provided…

High Energy Physics - Lattice · Physics 2014-10-08 Krzysztof Cichy

We report a direct lattice calculation of the $K$ to $\pi\pi$ decay matrix elements for both the $\Delta I=1/2$ and 3/2 amplitudes $A_0$ and $A_2$ on 2+1 flavor, domain wall fermion, $16^3\times32\times16$ lattices. This is a complete…

High Energy Physics - Lattice · Physics 2011-12-23 T. Blum , P. A. Boyle , N. H. Christ , N. Garron , E. Goode , T. Izubuchi , C. Lehner , Q. Liu , R. D. Mawhinney , C. T. Sachrajda , A. Soni , C. Sturm , H. Yin , R. Zhou

We discuss the determination of deep-inelastic hadron structure in lattice QCD. By using a fictitious heavy quark, direct calculations of the Compton scattering tensor can be performed in Euclidean space that allow the extraction of the…

High Energy Physics - Lattice · Physics 2008-11-26 William Detmold , C. -J. David Lin

We extend the application of lattice QCD to the two-photon-mediated, order $\alpha^2$ rare decay $\pi^0\rightarrow e^+ e^-$. By combining Minkowski- and Euclidean-space methods we are able to calculate the complex amplitude describing this…

High Energy Physics - Lattice · Physics 2023-05-24 Norman Christ , Xu Feng , Luchang Jin , Cheng Tu , Yidi Zhao

Motivated by the need to correct the potentially large kinematic errors in approximations used in the standard formulation of perturbative QCD, we reformulate deeply inelastic lepton-proton scattering in terms of gauge invariant, universal…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. C. Collins , T. C. Rogers , A. M. Staśto

To improve accuracy in calculating QCD effects, we propose a method for renormalon subtraction in the context of the operator-product expansion. The method enables subtracting renormalons of various powers in $\Lambda_{\rm QCD}$ efficiently…

High Energy Physics - Phenomenology · Physics 2021-06-04 Yuuki Hayashi , Yukinari Sumino , Hiromasa Takaura

We develop a method for lattice QCD calculation of the two-photon exchange (TPE) contribution to the muonic-hydrogen Lamb shift. To demonstrate the feasibility of this method, we also present an exploratory study with a gauge ensemble at…

High Energy Physics - Lattice · Physics 2022-04-15 Yang Fu

In lattice QCD it is possible, in principle, to determine the parameters in the effective chiral lagrangian (including weak interaction couplings) by performing numerical simulations in the $\epsilon$--regime, i.e. at quark masses where the…

High Energy Physics - Lattice · Physics 2011-07-19 L. Giusti , C. Hoelbling , M. Lüscher , H. Wittig

We present a lattice QCD calculation of the pseudoscalar decay constants fK, fD and fDs performed using the gauge configurations produced by the European Twisted Mass Collaboration with Nf = 2 + 1 + 1 dynamical quarks, which include in the…

High Energy Physics - Lattice · Physics 2015-03-25 N. Carrasco , P. Dimopoulos , R. Frezzotti , P. Lami , V. Lubicz , F. Nazzaro , E. Picca , L. Riggio , G. C. Rossi , F. Sanfilippo , S. Simula , C. Tarantino

Traditionally, lattice QCD computations of generalized parton distributions (GPDs) have been carried out in a symmetric frame, where the transferred momentum is symmetrically distributed between the incoming and outgoing hadrons. However,…

A precise calculation of the lepton anomalous magnetic moments (AMM) requires an evaluation of the quantum electrodynamics (QED) Feynman diagrams up to five independent loops. The complicated structure of ultraviolet (UV), infrared (IR) and…

High Energy Physics - Phenomenology · Physics 2023-02-20 Sergey Volkov

At large momentum transfer, it becomes increasingly difficult to access the form factor of the pion $F_\pi(Q^2)$ using lattice QCD simulations. Two of the limiting factors include the increased computational cost of adding more statistics…

High Energy Physics - Lattice · Physics 2025-12-16 K. U. Can , J. A. Crawford , R. Horsley , J. J. McKee , P. E. L. Rakow , I. van Schalkwyk , G. Schierholz , H. Stüben , R. D. Young , J. M. Zanotti

We present the first lattice QCD calculation of the quark transverse spin-momentum correlation, i.e., the T-odd Boer-Mulders function, of the pion, using large-momentum effective theory (LaMET). The calculation is done at three lattice…

This work presents a determination of potential short-distance contributions to the unphysical $\pi^-\rightarrow\pi^+ e^- e^-$ decay through lattice QCD calculations. The hadronic contributions to the transition amplitude are described by…

High Energy Physics - Lattice · Physics 2023-05-17 William Detmold , William I. Jay , David J. Murphy , Patrick R. Oare , Phiala E. Shanahan

We apply the multi-particle fields model to calculate the differential cross-section d{\sigma}/dt of elastic proton-proton scattering. This problem includes the calculation of multidimensional integrals arising from the loop Feynman…

High Energy Physics - Phenomenology · Physics 2022-09-14 N. O. Chudak , I. V. Sharph , O. S. Potiienko , K. K. Merkotan , T. V. Yushkevych , A. O. Milieva , V. D. Rusov