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We present state-of-the-art results from a lattice QCD calculation of the nucleon axial coupling, $g_A$, using M\"obius Domain-Wall fermions solved on the dynamical $N_f = 2 + 1 + 1$ HISQ ensembles after they are smeared using the…

We use lattice QCD simulations, with MILC gluon configurations and HISQ c-quark propagators, to make very precise determinations of moments of charm-quark pseudoscalar, vector and axial-vector correlators. These moments are combined with…

We have extended our program of QCD simulations with an improved Kogut-Susskind quark action to a smaller lattice spacing, approximately 0.09 fm. Also, the simulations with a approximately 0.12 fm have been extended to smaller quark masses.…

High Energy Physics - Lattice · Physics 2008-11-26 C. Aubin , C. Bernard , C. DeTar , Steven Gottlieb , E. B. Gregory , U. M. Heller , J. E. Hetrick , J. Osborn , R. Sugar , D. Toussaint

In lattice QCD spectrum calculations, it is desirable to obtain multiple excited state energies in each symmetry channel. Typically, one constructs several interpolating operators for the symmetry channel of interest, forms the `correlator…

High Energy Physics - Lattice · Physics 2008-11-26 Adam C. Lichtl

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

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

Using the axial-vector coupling and the electromagnetic form factors of the D and D* mesons in 2+1 flavor Lattice QCD, we compute the D*D\pi, DD\rho and D*D*\rho coupling constants, which play an important role in describing the charm…

High Energy Physics - Lattice · Physics 2013-01-23 K. U. Can , G. Erkol , M. Oka , A. Ozpineci , T. T. Takahashi

The current status of lattice-QCD numerical calculations by joint LHP, RBC, and UKQCD collaborations of nucleon isovector vector- and axialvector-current form factors using a 2+1-flavor dynamical domain-wall fermions lattice QCD ensemble…

High Energy Physics - Lattice · Physics 2023-11-13 Shigemi Ohta

We report our numerical lattice QCD calculations of the isovector nucleon form factors for the vector and axialvector currents: the vector, induced tensor, axialvector, and induced pseudoscalar form factors. The calculation is carried out…

High Energy Physics - Lattice · Physics 2010-04-28 Takeshi Yamazaki , Yasumichi Aoki , Tom Blum , Huey-Wen Lin , Shigemi Ohta , Shoichi Sasaki , Robert Tweedie , James Zanotti

The effect of cooling on a number of observables is calculated in SU(2) lattice gauge theory. The static quark-antiquark potential and spin-dependent interactions are studied, and the topological charge is monitored. The chiral symmetry…

High Energy Physics - Lattice · Physics 2010-11-01 Howard D. Trottier , R. M. Woloshyn

We present preliminary lattice results for the nonperturbative tensor structure of the vector and axial-vector quark-antiquark vertices in QCD. Our lattice calculations are for $N_f=2$ mass-degenerate Wilson fermion flavors whose quark mass…

High Energy Physics - Lattice · Physics 2019-04-25 André Sternbeck , Milena Leutnant , Gernot Eichmann

We perform hybrid Monte Carlo simulation of (2+1+1)-flavors lattice QCD with the optimal domain-wall fermion (which has the effective 4D Dirac operator exactly equal to the Zolotarev optimal rational approximation of the overlap Dirac…

High Energy Physics - Lattice · Physics 2017-02-09 Yu-Chih Chen , Ting-Wai Chiu

We report on the determination of the improvement coefficient $c_{\rm A}$ for the non-singlet axial-vector current $A^{a}_{\mu}(x)$ in the framework of stabilised Wilson-Clover fermions within three flavour lattice QCD. This is done by…

High Energy Physics - Lattice · Physics 2022-12-22 Patrick Fritzsch , Jochen Heitger , Justus T. Kuhlmann

We determine quark mass dependent order $a$ improvement terms of the form $b_J am$ for non-singlet scalar, pseudoscalar, vector and axialvector currents, using correlators in coordinate space. We use a set of CLS ensembles comprising…

High Energy Physics - Lattice · Physics 2017-02-01 Piotr Korcyl , Gunnar S. Bali

The correlator of vector and nonsinglet axial-vector currents in the external electromagnetic field is calculated within the instanton liquid model of QCD vacuum. In general the correlator has two Lorentz structures: longitudinal w_L and…

High Energy Physics - Phenomenology · Physics 2009-01-07 A. E. Dorokhov

We address several aspects of lattice QCD calculations of the hadronic vacuum polarization and the associated Adler function. We implement a representation derived previously which allows one to access these phenomenologically important…

High Energy Physics - Lattice · Physics 2013-09-11 Anthony Francis , Benjamin Jaeger , Harvey B. Meyer , Hartmut Wittig

We investigate the high-temperature phase of QCD using lattice QCD simulations with $N_f = 2$ dynamical M\"obius domain-wall fermions. On generated configurations, we study the axial $U(1)$ symmetry, overlap-Dirac spectra, screening masses…

High Energy Physics - Lattice · Physics 2020-01-23 Kei Suzuki , Sinya Aoki , Yasumichi Aoki , Guido Cossu , Hidenori Fukaya , Shoji Hashimoto , Christian Rohrhofer

The current status of some nucleon isovector observables, the vector charge, \(g_V\), axial charge, \(g_A\), quark momentum fraction, \(\langle x \rangle_{u-d}\), and quark helicity fraction, \(\langle x \rangle_{\Delta u - \Delta d}\),…

High Energy Physics - Lattice · Physics 2019-08-14 Shigemi Ohta

We derive the Operator Product Expansion whose vacuum expectation value gives the time-moments of the pseudoscalar heavy-light current-current correlator up to and including terms in $\alpha_s^2$ multiplying…

High Energy Physics - Lattice · Physics 2019-08-14 C. T. H. Davies , K. Hornbostel , J. Komijani , J. Koponen , G. P. Lepage , A. T. Lytle , C. McNeile

We compute the hadronic running of the electromagnetic and weak couplings in lattice QCD with $N_{\mathrm{f}}=2+1$ flavors of $\mathcal{O}(a)$ improved Wilson fermions. Using two different discretizations of the vector current, we compute…