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We present a calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment, $a_\mu^{\mathrm hvp}$, in lattice QCD employing dynamical up and down quarks. We focus on controlling the infrared regime of…

High Energy Physics - Lattice · Physics 2017-10-11 M. Della Morte , A. Francis , V. Gülpers , G. Herdoíza , G. von Hippel , H. Horch , B. Jäger , H. B. Meyer , A. Nyffeler , H. Wittig

The spectrum of a system with multiple channels composed of two hadrons with nonzero total momentum is determined in a finite cubic volume with periodic boundary conditions using effective field theory methods. The results presented are…

High Energy Physics - Lattice · Physics 2013-11-27 Raul A. Briceno , Zohreh Davoudi

The spectrum of excited states observed in the finite volume of lattice QCD is governed by the discrete symmetries of the cubic group. This finite group permits the mixing of orbital angular momentum quanta in the finite volume. As…

High Energy Physics - Lattice · Physics 2020-07-08 Yan Li , Jia-Jun Wu , Curtis D. Abell , Derek B. Leinweber , Anthony W. Thomas

The increasing importance of hadronic resonances in our understanding of the Standard Model is underscored by recent advancements in lattice Quantum Chromodynamics (QCD) calculations. We review recent developments, with a particular…

High Energy Physics - Lattice · Physics 2024-01-19 Luka Leskovec

The QED hadronic vacuum polarization function plays an important role in the determination of precision electroweak observables and of the anomalous magnetic moment of the muon. These contributions have been computed from data, by means of…

High Energy Physics - Phenomenology · Physics 2023-11-14 Nina M. Coyle , Carlos E. M. Wagner

We present the first lattice-QCD validation of multiple sum rules associated with quark-gluon decomposition of hadron mass by computing all components from first principles. We achieve this through nonperturbative renormalization of the QCD…

High Energy Physics - Lattice · Physics 2026-01-21 Dennis Bollweg , Heng-Tong Ding , Xiang Gao , Ran Luo , Swagato Mukherjee

Within a multi-channel formulation of $\pi\pi$ scattering, we investigate the use of the finite-volume Hamiltonian approach to resolve scattering observables from lattice QCD spectra. The asymptotic matching of the well-known L\"uscher…

High Energy Physics - Lattice · Physics 2014-11-21 Jia-Jun Wu , T. -S. H. Lee , A. W. Thomas , R. D. Young

We study the anomalously large rates of some hadronic transitions observed in heavy quarkonia using a constituent quark model which has been successful in describing meson and baryon phenomenology. QCD multipole expansion (QCDME) is used to…

High Energy Physics - Phenomenology · Physics 2015-01-14 Jorge Segovia , David R. Entem , Francisco Fernandez

We present a new lattice QCD calculation of the leading order hadronic vacuum polarization (LO-HVP) contribution to the muon anomalous magnetic moment $a_\mu$. We reduce uncertainties compared to our earlier computation arXiv:2002.12347 by…

We develop a methodology for the computation of the $K\to \ell\nu_\ell \ell'^+ \ell'^-$ decay width using lattice QCD and present an exploratory study here. We use a scalar function method to account for the momentum dependence of the decay…

High Energy Physics - Lattice · Physics 2022-04-06 Xin-Yu Tuo , Xu Feng , Lu-Chang Jin , Teng Wang

We computed the hadronic vacuum-polarization contributions to the muon anomalous magnetic moment $a_{\mu}(hadr.)$ by using the QCD model with infinite number of vector mesons [1,2]. The result is $a_{\mu}(hadr.) = 663(23) \times 10^{-10}$.…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. V. Geshkenbein , V. L. Morgunov

This study investigates finite-volume effects in physical processes that involve the combination of long-range hadronic matrix elements with electroweak loop integrals. We adopt the approach of implementing the electroweak part as the…

High Energy Physics - Lattice · Physics 2025-07-16 Xin-Yu Tuo , Xu Feng

We study a thermodynamically consistent implementation of the nucleon volume in the mean field theory, and find that this volume has large consequences on the properties of hadronic matter under extreme conditions such as in astrophysical…

Nuclear Theory · Physics 2012-06-26 Bo-Qiang Ma , Qi-Ren Zhang , D. H. Rischke , W. Greiner

The RBC and UKQCD collaborations have recently proposed a procedure for computing the K_L-K_S mass difference. A necessary ingredient of this procedure is the calculation of the (non-exponential) finite-volume corrections relating the…

High Energy Physics - Lattice · Physics 2014-01-08 N. H. Christ , G. Martinelli , C. T. Sachrajda

Standard methods for including electromagnetic interactions in lattice quantum chromodynamics calculations result in power-law finite-volume corrections to physical quantities. Removing these by extrapolation requires costly computations at…

High Energy Physics - Lattice · Physics 2016-08-12 Michael G. Endres , Andrea Shindler , Brian C. Tiburzi , Andre Walker-Loud

We present a lattice calculation of the Hadronic Vacuum Polarization (HVP) contribution of the strange and charm quarks to the anomalous magnetic moment of the muon in isospin symmetric QCD. We employ the gauge configurations generated by…

The contribution from hadronic vacuum polarisation effects is responsible for a large fraction of the theoretical uncertainty in the running of the QED coupling. The current level of uncertainty has become a limitation for electroweak…

High Energy Physics - Lattice · Physics 2014-12-23 Anthony Francis , Gregorio Herdoíza , Hanno Horch , Benjamin Jäger , Harvey B. Meyer , Hartmut Wittig

Out of the many exciting results obtained with the lattice approach to QCD under extreme conditions, I discuss a few selected items related to chiral symmetry: the chiral condensate as an approximate order parameter, meson screening masses,…

High Energy Physics - Lattice · Physics 2022-10-14 Gert Aarts

We present a novel procedure for analyzing the lattice-QCD spectrum via the finite-volume formalism to obtain constraints on multi-hadron scattering amplitudes at both real and complex energies. This approach combines a Bayesian…

High Energy Physics - Lattice · Physics 2025-10-29 Miguel Salg , Fernando Romero-López , William I. Jay

We investigate the possibility of doing momentum space lattice simulations as an alternative to the conventional method. The procedure is introduced and tested for quenched QED2 and quenched QED3. Interesting physical applications to…

High Energy Physics - Lattice · Physics 2009-10-22 J. B. Kogut , J. -F. Lagae