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Finite-volume effects in Quantum Chromodynamics (QCD) have been a subject of much theoretical interest for more than two decades. They are in particular important for the analysis and interpretation of QCD simulations on a finite, discrete…

High Energy Physics - Phenomenology · Physics 2017-10-17 Bertram Klein

The long-distance contribution of QED corrections to the hadronic vacuum polarization is particularly challenging to compute in lattice QCD+QED. Currently, it is one of the limiting factors towards matching the precision of the recent…

High Energy Physics - Lattice · Physics 2025-09-01 Christoph Lehner , Julian Parrino , Andreas Völklein

Control over quantum electrodynamics (QED) radiative corrections is critical for precise determination of neutrino oscillation probabilities from observed (anti)neutrino detection rates. It is particularly important to understand any…

High Energy Physics - Phenomenology · Physics 2022-11-23 Oleksandr Tomalak , Qing Chen , Richard J Hill , Kevin S McFarland , Clarence Wret

Nucleon electric dipole moments originating from strong CP-violation are being calculated by several groups using lattice QCD. We revisit the finite volume corrections to the CP-odd nucleon matrix elements of the electromagnetic current,…

High Energy Physics - Phenomenology · Physics 2014-07-25 Tarik Akan , Feng-Kun Guo , Ulf-G. Meißner

Volume modifications to the binding of two-body systems in large cubic volumes of extent L depend upon the total momentum and exponentially upon the ratio of L to the size of the boosted system. Recent work by Bour et al determined the…

High Energy Physics - Lattice · Physics 2013-05-29 Zohreh Davoudi , Martin J. Savage

Lattice QED2 with the Wilson formulation of fermions is used as a convenient model system to study artifacts of the quenched approximation on a finite lattice. The quenched functional integral is shown to be ill-defined in this system as a…

High Energy Physics - Lattice · Physics 2009-10-30 W. Bardeen , A. Duncan , E. Eichten , H. Thacker

Lattice simulations are the only viable way to obtain ab-initio Quantum Chromodynamics (QCD) predictions for low energy nuclear physics. These calculations are done, however, in a finite box and therefore extrapolation is needed to get the…

Nuclear Theory · Physics 2020-11-04 Moti Eliyahu , Betzalel Bazak , Nir Barnea

Whether one is interested in accessing the excited spectrum of hadrons or testing the standard model of particle physics, electroweak transition processes involving multi-hadron channels in the final state play an important role in a…

High Energy Physics - Lattice · Physics 2021-09-29 Raul A. Briceno , Jozef J. Dudek , Luka Leskovec

The classically perfect Fixed-Point fermion action for lattice QCD, a highly improved discretization of the continuum theory that preserves chiral symmetry, is constructed in this thesis and a parallel work by T. Jorg. In the framework of…

High Energy Physics - Lattice · Physics 2007-05-23 Simon Hauswirth

We present exploratory results from dynamical simulations of QCD in isolation, as well as QCD coupled to QED, with C* boundary conditions. In finite volume, the use of C* boundary conditions allows for a gauge invariant and local…

High Energy Physics - Lattice · Physics 2018-04-18 Martin Hansen , Biagio Lucini , Agostino Patella , Nazario Tantalo

Nonperturbative QCD corrections are important to many low-energy electroweak observables, for example the muon magnetic moment. However, hadronic corrections also play a significant role at much higher energies due to their impact on the…

High Energy Physics - Lattice · Physics 2012-06-15 Dru B. Renner , Xu Feng , Karl Jansen , Marcus Petschlies

The effect of a finite volume presents itself both in heavy ion experiments as well as in recent model calculations. The magnitude is sensitive to the proximity of a nearby critical point. We calculate the finite volume effects at finite…

High Energy Physics - Lattice · Physics 2024-01-03 Szabolcs Borsányi , Zoltán Fodor , Jana N. Guenther , Ruben Kara , Paolo Parotto , Attila Pásztor , Chik Him Wong

The leading finite-volume and thermal effects, arising in numerical lattice QCD calculations of $a^{\text{HVP,LO}}_\mu \equiv (g-2)^{\text{HVP,LO}}_\mu/2$, are determined to all orders with respect to the interactions of a generic,…

High Energy Physics - Lattice · Physics 2020-10-28 Maxwell T. Hansen , Agostino Patella

We present a first numerical study of lattice QCD with O(a) improved Wilson quarks and a chirally twisted mass term. Renormalized correlation functions are derived from the Schroedinger functional and evaluated in an intermediate space-time…

High Energy Physics - Lattice · Physics 2010-02-03 M. Della Morte , R. Frezzotti , J. Heitger , S. Sint

The masses and dispersions of light hadrons are calculated in lattice QCD using an O(a^2) tadpole-improved gluon action and an O(a^2) tadpole-improved next-nearest-neighbor fermion action originally proposed by Hamber and Wu. Two lattices…

High Energy Physics - Lattice · Physics 2010-11-19 Frank X. Lee , Derek B. Leinweber

A precise SM prediction for the direct CP violation in the $K \rightarrow \pi\pi$ decay process is of great importance in confronting experiments and constraining new physics. The state-of-art lattice QCD study of this process will soon…

High Energy Physics - Lattice · Physics 2018-12-31 Yiming Cai , Zohreh Davoudi

A quantum electrodynamics (QED) correction surface for the simplest polyatomic and polyelectronic system H$_3^+$ is computed using an approximate procedure. This surface is used to calculate the shifts to vibration-rotation energy levels…

Chemical Physics · Physics 2014-06-27 Lorenzo Lodi , Oleg L. Polyansky , Jonathan Tennyson , Alexander Alijah , Nikolai F. Zobov

The determination of $|V_{us}|$ from kaon semileptonic decays requires the value of the form factor $f_+(q^2=0)$ which can be calculated precisely on the lattice. We provide the one-loop partially quenched chiral perturbation theory…

High Energy Physics - Lattice · Physics 2017-04-26 Claude Bernard , Johan Bijnens , Elvira Gámiz , Johan Relefors

In this talk we present some preliminary results and discuss the prospects of determining the leading structure-dependent finite-volume effects in the hadronic vacuum polarisation associated to order $e^2$ electromagnetic corrections. In…

High Energy Physics - Lattice · Physics 2024-08-16 Nils Hermansson-Truedsson

We propose a new model-independent method for determining hadronic resonances from lattice QCD. The formalism is derived from the general principles of unitarity and analyticity, as encoded in the $N/D$ representation of a partial-wave…

High Energy Physics - Lattice · Physics 2024-11-26 Sebastian M. Dawid , Andrew W. Jackura , Adam P. Szczepaniak