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We propose a method to use lattice QCD to compute the Borel transform of the vacuum polarization function appearing in the Shifman-Vainshtein-Zakharov QCD sum rule. We construct the spectral sum corresponding to the Borel transform from…

High Energy Physics - Lattice · Physics 2021-11-15 Tsutomu Ishikawa , Shoji Hashimoto

We report on our update to [1] on the hadronic running of electroweak couplings from $O(a)$-improved Wilson fermions with $N_f=2+1$ flavours. The inclusion of additional ensembles at very fine lattice spacings together with a number of…

High Energy Physics - Lattice · Physics 2025-02-17 Alessandro Conigli , Georg von Hippel , Simon Kuberski , Harvey B. Meyer , Konstantin Ottnad , Hartmut Wittig

The first exploratory calculations of QCD vacuum correlation functions on a lattice are reported. Qualitative agreement with phenomenological results is obtained in channels for which experimental data are available, and these correlation…

High Energy Physics - Lattice · Physics 2007-05-23 M. -C. Chu , J. M. Grandy , S. Huang , J. W. Negele

The dispersive approach to QCD is applied to the study of the inclusive tau lepton hadronic decay. This approach provides the unified integral representations for the hadronic vacuum polarization function, related R function, and Adler…

High Energy Physics - Phenomenology · Physics 2013-09-12 A. V. Nesterenko

We calculate vector-vector correlation functions at two loops using partially quenched chiral perturbation theory including finite volume effects and twisted boundary conditions. We present expressions for the flavor neutral cases and the…

High Energy Physics - Lattice · Physics 2018-01-17 Johan Bijnens , Johan Relefors

We describe a new technique (published in Phys. Rev. D89 114501) to determine the contribution to the anomalous magnetic moment of the muon coming from the hadronic vacuum polarisation using lattice QCD. Our method uses Pad\'e approximants…

We study the vector and axial-vector current correlators in perturbative and non-perturbative regimes of QCD. The correlators in Euclidean coordinate space are calculated on the lattice using the M\"obius domain-wall fermion formulation at…

High Energy Physics - Lattice · Physics 2017-10-02 JLQCD collaboration , M. Tomii , G. Cossu , B. Fahy , H. Fukaya , S. Hashimoto , T. Kaneko , J. Noaki

We describe a new technique (presented in arXiv:1403.1778) to determine the contribution to the anomalous magnetic moment (g-2) of the muon coming from the hadronic vacuum polarisation using lattice QCD. Our method uses Pad\'{e}…

The gradient-flow operator product expansion for QCD current correlators including operators up to mass dimension four is calculated through NNLO. This paves an alternative way for efficient lattice evaluations of hadronic vacuum…

High Energy Physics - Lattice · Physics 2021-08-26 Robert V. Harlander , Fabian Lange , Tobias Neumann

We compute euclidean coordinate space correlation functions in a holographic model of QCD. We concentrate, in particular, on channels that are related to the U(1)_A problem, the flavor-singlet axialvector, pseudoscalar meson, and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Thomas Schaefer

We present preliminary results of a 2+1-flavor study of finite-volume effects in the lattice QCD computation of the leading-order hadronic contribution to the muon anomalous magnetic moment. We also present methods for obtaining directly…

High Energy Physics - Lattice · Physics 2015-02-10 Rehan Malak , Zoltan Fodor , Christian Hoelbling , Laurent Lellouch , Alfonso Sastre , Kalman Szabo

We perform a lattice QCD calculation of the hadronic light-by-light contribution to $(g-2)_\mu$ at the SU(3) flavor-symmetric point $m_\pi=m_K\simeq 420\,$MeV. The representation used is based on coordinate-space perturbation theory, with…

High Energy Physics - Lattice · Physics 2020-10-28 En-Hung Chao , Antoine Gérardin , Jeremy R. Green , Renwick J. Hudspith , Harvey B. Meyer

We present a lattice QCD calculation with two dynamical flavors of the isovector vector correlator in the high-temperature phase. We analyze the correlator in terms of the associated spectral function, for which we review the theoretical…

High Energy Physics - Lattice · Physics 2015-06-12 Bastian B. Brandt , Anthony Francis , Harvey B. Meyer , Hartmut Wittig

We report on a lattice QCD calculation with two dynamical flavors of the isovector vector correlator in the high-temperature phase. We analyze the correlator in terms of the associated spectral function by performing a fit for the…

High Energy Physics - Lattice · Physics 2013-02-05 Bastian B. Brandt , Anthony Francis , Harvey B. Meyer , Hartmut Wittig

In order to reach (sub-)per cent level precision in lattice calculations of the hadronic vacuum polarisation, isospin breaking corrections must be included. This requires introducing QED on the lattice, and the associated finite-size…

High Energy Physics - Lattice · Physics 2019-10-09 Nils Hermansson-Truedsson , Johan Bijnens , James Harrison , Tadeusz Janowski , Andreas Jüttner , Antonin Portelli

Our ability to resolve new physics effects is, largely, limited by the precision with which we calculate. The calculation of observables in the Standard (or a new physics) Model requires knowledge of associated hadronic contributions. The…

High Energy Physics - Phenomenology · Physics 2013-09-30 C. M. Bouchard

Several new developments in the calculation and interpretation of hadron density-density correlation functions are presented. The asymptotic behavior of correlation functions is determined from a tree diagram path integral. A method is…

High Energy Physics - Lattice · Physics 2009-09-25 J. W. Negele , M. Burkardt , J. M. Grandy

We present results for the hadronic running of the electromagnetic coupling and the weak mixing angle from simulations of lattice QCD with $N_f=2+1$ flavours of $O(a)$-improved Wilson fermions. Using two different discretisations of the…

The electromagnetic coupling constant, $\alpha$, is one of the fundamental parameters of the Standard Model (SM). Its value at the Z boson mass, $\alpha(M_Z)$, is of particular interest as it enters electroweak precision tests. When running…

High Energy Physics - Lattice · Physics 2024-01-09 Sophie Mutzel

There are emerging tensions for theory results of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment both within recent lattice QCD calculations and between some lattice QCD calculations and R-ratio results.…

High Energy Physics - Lattice · Physics 2020-04-29 Christoph Lehner , Aaron S. Meyer