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The isovector axial form factor of the nucleon plays a key role in interpreting data from long-baseline neutrino oscillation experiments. We perform a lattice-QCD based calculation of this form factor, introducing a new method to directly…

High Energy Physics - Lattice · Physics 2022-07-08 Dalibor Djukanovic , Georg von Hippel , Jonna Koponen , Harvey B. Meyer , Konstantin Ottnad , Tobias Schulz , Hartmut Wittig

The standard method for determining matrix elements in lattice QCD requires the computation of three-point correlation functions. This has the disadvantage of requiring two large time separations: one between the hadron source and operator…

High Energy Physics - Lattice · Physics 2023-02-13 M. Batelaan , K. U. Can , R. Horsley , Y. Nakamura , H. Perlt , P. E. L. Rakow , G. Schierholz , H. Stüben , R. D. Young , J. M. Zanotti

We use a recent lattice determination of the vector and axial $D_s \to \gamma$ form factors at high squared momentum transfer $q^2$ to infer their $B_s \to \gamma$ counterparts. To this end, we introduce a phenomenological approach…

High Energy Physics - Phenomenology · Physics 2023-08-02 Diego Guadagnoli , Camille Normand , Silvano Simula , Ludovico Vittorio

We implement a proposal made in [arXiv:1107.4388] to determine the lattice spacing by matching the lattice vector correlator at a reference distance scale with the same correlator obtained by a dispersion relation based on the $R$-ratio…

High Energy Physics - Lattice · Physics 2013-12-03 Anthony Francis , Georg von Hippel , Fred Jegerlehner , Harvey B. Meyer

In the heavy quark effective theory, hadronic matrix elements of currents between two hadrons containing a heavy quark are expanded in inverse powers of the heavy quark masses, with coefficients that are functions of the kinematic variable…

High Energy Physics - Phenomenology · Physics 2009-10-22 Adam F. Falk , Matthias Neubert

The numerical computations of many quantities of theoretical and phenomenological interest are plagued by statistical errors which increase exponentially with the distance of the sources in the relevant correlators. Notable examples are…

High Energy Physics - Lattice · Physics 2018-04-18 Leonardo Giusti , Marco Cè , Stefan Schaefer

A method for computing all-point quark propagators is applied to a variety of processes of physical interest in lattice QCD. The method allows, for example, efficient calculation of disconnected parts and full momentum-space 2 and 3 point…

High Energy Physics - Lattice · Physics 2015-06-25 A. Duncan , E. Eichten , J. Yoo

Lattice calculations of the hadronic contributions to the muon anomalous magnetic moment are numerically highly demanding due to the necessity of reaching total errors at the sub-percent level. Noise-reduction techniques such as low-mode…

High Energy Physics - Lattice · Physics 2025-02-17 Thomas Blum , Alessandro Conigli , Lukas Geyer , Simon Kuberski , Alexander Segner , Hartmut Wittig

We have calculated spectral functions associated with hadronic current correlation functions for vector currents at finite temperature. We made use of a model with chiral symmetry, temperature-dependent coupling constants and…

Nuclear Theory · Physics 2007-05-23 Xiangdong Li , Hu Li , C. M. Shakin , Qing Sun , Huangsheng Wang

The introduction of partially twisted boundary conditions allows weak and electromagnetic form factors to be evaluated at specified values of the hadronic momenta (and hence momentum transfers) in lattice simulations. We present and…

High Energy Physics - Lattice · Physics 2009-11-13 P. A. Boyle , J. M. Flynn , A. Juttner , C. T. Sachrajda , J. M. Zanotti

The Rome method allows one to extract form factors using lattice computations performed strictly at zero momentum. We investigate the size of finite volume effects resulting from this method. As a test case, we focus on the pion charge…

High Energy Physics - Lattice · Physics 2014-09-23 Brian C. Tiburzi

We study Ruelle-Pollicott resonances in translationally invariant quantum many-body lattice systems via spectra of a momentum-resolved operator propagator on infinite systems. Momentum dependence gives insight into the decay of correlation…

Quantum Physics · Physics 2024-11-06 Marko Znidaric

We highlight QCDSF/UKQCD Collaboration's recent developments on computing the Compton amplitude directly via an implementation of the second order Feynman-Hellmann theorem. As an application, we compute the nucleon Compton tensor across a…

High Energy Physics - Lattice · Physics 2021-10-05 K. U. Can , A. Hannaford-Gunn , E. Sankey , R. Horsley , Y. Nakamura , H. Perlt , P. E. L. Rakow , G. Schierholz , H. Stuben , R. D. Young , J. M. Zanotti

The fraction of the longitudinal momentum of ${}^3\text{He}$ that is carried by the isovector combination of $u$ and $d$ quarks is determined using lattice QCD for the first time. The ratio of this combination to that in the constituent…

High Energy Physics - Lattice · Physics 2021-05-26 William Detmold , Marc Illa , David J. Murphy , Patrick Oare , Kostas Orginos , Phiala E. Shanahan , Michael L. Wagman , Frank Winter

We present a lattice determination of the vector and scalar form factors of the semileptonic $D \to \pi \ell \nu$ decays, which are relevant for the extraction of the CKM matrix element $\lvert V_{cd} \rvert$ from experimental data. Our…

High Energy Physics - Lattice · Physics 2016-11-02 V. Lubicz , L. Riggio , G. Salerno , S. Simula , C. Tarantino

An explicit model is presented which gives the momentum transfer-dependent ratios of form factors of hadronic currents. For the unknown Isgur-Wise function and its generalization for transitions to light particles a simple phenomenological…

High Energy Physics - Phenomenology · Physics 2007-05-23 Berthold Stech

The precision of experimental data and analysis techniques is a key feature of any discovery attempt. A striking example is the proton radius puzzle where the accuracy of the spectroscopy of muonic atoms challenges traditional electron…

We report an exploratory study of the current-current matrix elements that are relevant to the extraction of moments of the pion light-cone distribution amplitude, employing the method of introducing a valence relativistic heavy quark. The…

High Energy Physics - Lattice · Physics 2018-10-30 William Detmold , Issaku Kanamori , C. -J. David Lin , Santanu Mondal , Yong Zhao

The hadronic tensor is the central non-perturbative object in the calculation of the cross section of lepton-hadron interactions like neutrino-nucleon scattering. It is usually parameterized in terms of structure functions, which encode all…

High Energy Physics - Lattice · Physics 2026-02-27 Christian Zimmermann , Terrence Draper , Jian Liang , Keh-Fei Liu , Raza Sabbir Sufian , Bigeng Wang

We represent low dimensional quantum mechanical Hamiltonians by moderately sized finite matrices that reproduce the lowest O(10) boundstate energies and wave functions to machine precision. The method extends also to Hamiltonians that are…

Quantum Physics · Physics 2015-06-03 Johann Foerster , Alejandro Saenz , Ulli Wolff