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We investigate the perturbative and nonperturbative renormalization of composite operators in lattice QCD restricting ourselves to operators that are bilinear in the quark fields (quark-antiquark operators). These include operators which…

High Energy Physics - Lattice · Physics 2012-11-07 M. Göckeler , R. Horsley , Y. Nakamura , H. Perlt , D. Pleiter , P. E. L. Rakow , A. Schäfer , G. Schierholz , A. Schiller , H. Stüben , J. M. Zanotti

Chiral perturbation theory makes definitive predictions for the extrinsic behavior of hadrons in external electric and magnetic fields. Near the chiral limit, the electric and magnetic polarizabilities of pions, kaons, and nucleons are…

High Energy Physics - Lattice · Physics 2015-05-30 W. Detmold , B. C. Tiburzi , A. Walker-Loud

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

In this paper we discuss how the peculiar properties of twisted lattice QCD at maximal twist can be employed to set up a consistent computational scheme in which, despite the explicit breaking of chiral symmetry induced by the presence of…

High Energy Physics - Lattice · Physics 2010-02-03 R. Frezzotti , G. C. Rossi

Determining the spectrum of hadronic excitations from Monte Carlo simulations requires the use of interpolating operators that couple to multi-particle states. Recent algorithmic advances have made the inclusion of multi-hadron operators in…

High Energy Physics - Lattice · Physics 2012-05-21 Justin Foley , John Bulava , You-Cyuan Jhang , Keisuke J. Juge , David Lenkner , Colin Morningstar , Chik Him Wong

We present a new method to evaluate with high precision the isospin breaking effects due to the mass difference between the up and down quarks using lattice QCD. Our proposal is applicable in principle to any hadronic observable which can…

Lattice QCD should allow a derivation of the $\Delta I=1/2$ rule from first principles, but numerical calculations to date have been plagued by a variety of problems. After a brief review of these problems, we present several new methods…

High Energy Physics - Lattice · Physics 2009-10-09 C. Dawson , G. Martinelli , G. C. Rossi , C. T. Sachrajda , S. Sharpe , M. Talevi , M. Testa

Heavy quarks placed within a hot QCD medium undergo Brownian motion, characterized by specific transport coefficients. Their determination can be simplified by expanding them in $T/M$, where $T$ is the temperature and $M$ is a heavy quark…

High Energy Physics - Lattice · Physics 2022-08-15 D. Banerjee , S. Datta , M. Laine

Lattice calculations of matrix elements involving heavy-light quark bilinears are of interest in calculating a variety of properties of B and D mesons, including decay constants and mixing parameters. A large source of uncertainty in the…

High Energy Physics - Lattice · Physics 2013-11-13 Oscar F. Hernandez , Brian R. Hill

In this talk I present the complete 1-loop perturbative computation of the renormalization constants and mixing coefficients of quark and gluon lattice operators of rank two and three whose hadronic elements enter in the determination of…

High Energy Physics - Lattice · Physics 2009-10-28 Stefano Capitani , Giancarlo Rossi

Excited state contamination remains one of the most challenging sources of systematic uncertainty to control in lattice QCD calculations of nucleon matrix elements and form factors: early time separations are contaminated by excited states…

The magnetic moment and magnetic polarisability of the neutron and proton are investigated using the uniform background-field method and lattice QCD. The results are calculated using 32^3 x 64 dynamical QCD lattices provided by the PACS-CS…

High Energy Physics - Lattice · Physics 2017-04-28 Ryan Bignell , Derek Leinweber , Waseem Kamleh , Matthias Burkardt

Lattice QCD has historically produced energy results interpretable as either estimates relying on implicit assumptions about asymptotic behavior or one-sided upper bounds. New Lanczos methods providing two-sided bounds with less-restrictive…

High Energy Physics - Lattice · Physics 2026-02-02 William Detmold , Anthony V. Grebe , Daniel C. Hackett , Marc Illa , Robert J. Perry , Phiala E. Shanahan , Michael L. Wagman

The positive-parity nucleon spectrum is studied in 2 + 1 flavour lattice QCD in an attempt to discover novel low-lying energy eigenstates in the region of the Roper resonance. In this work, we employ standard three-quark interpolating…

High Energy Physics - Lattice · Physics 2017-05-01 Adrian L. Kiratidis , Waseem Kamleh , Derek B. Leinweber , Zhan-Wei Liu , Finn M. Stokes , Anthony W. Thomas

In this paper we present the 1-loop perturbative computation of the renormalization constants and mixing coefficients of the lattice quark operators of rank three whose hadronic elements enter in the determination of the second moment of…

High Energy Physics - Lattice · Physics 2016-09-01 Giuseppe Beccarini , Massimo Bianchi , Stefano Capitani , Giancarlo Rossi

The coefficients multiplying the counterterms required for O($a$) improvement of the action and the isovector axial current in lattice QCD are computed non-perturbatively, in the quenched approximation and for bare gauge couplings $g_0$ in…

High Energy Physics - Lattice · Physics 2016-09-01 Martin Luescher , Stefan Sint , Rainer Sommer , Peter Weisz , Ulli Wolff

It is shown how on-shell O(a) improvement can be implemented non-perturbatively in lattice QCD with Wilson quarks. Improvement conditions are obtained by requiring the PCAC relation to hold exactly in certain matrix elements. These are…

High Energy Physics - Lattice · Physics 2009-10-28 M. Lüscher , S. Sint , R. Sommer , P. Weisz , H. Wittig , U. Wolff

We explore the chiral aspects of extrapolation of observables calculated within lattice QCD, using the nucleon magnetic moments as an example. Our analysis shows that the biggest effects of chiral dynamics occur for quark masses…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. W. Thomas , D. B. Leinweber , D. H. Lu

QCD in two dimensions is investigated using the improved fermionic lattice Hamiltonian proposed by Luo, Chen, Xu, and Jiang. We show that the improved theory leads to a significant reduction of the finite lattice spacing errors. The quark…

High Energy Physics - Lattice · Physics 2016-08-15 Jun-Qin Jiang , Xiang-Qian Luo , Zhong-Hao Mei , Hamza Jirari , Helmut Kröger , Chi-Min Wu

We review our perturbative techniques for improved heavy quark actions. A new procedure for computing improvement coefficients is suggested, where the continuum limit of a lattice-regularized theory provides the matching conditions.We also…

High Energy Physics - Lattice · Physics 2009-11-10 Matthew Nobes , Howard Trottier