Hadronic vacuum polarization and muon<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>g</mml:mi><mml:mo>−</mml:mo><mml:mn>2</mml:mn></mml:math>from magnetic susceptibilities on the lattice

Bali, Gunnar S.; Endrődi, Gergely

doi:10.1103/physrevd.92.054506

Cited by 41 publications

(45 citation statements)

References 67 publications

(121 reference statements)

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“…[8][9][10], namely to compute a had µ (α 2 em ) in Euclidean lattice QCD from the correlation function of two electromagnetic currents. In this respect an impressive progress in the lattice determinations of a had µ (α 2 em ) has been achieved in the last few years [11][12][13][14][15][16][17][18][19][20][21] and very interesting attempts to compute also the LBL contribution are under way both on the lattice [22,23] and via dispersion approaches and Chiral Perturbation Theory (ChPT) [24][25][26].…”

Section: Jhep10(2017)157mentioning

confidence: 99%

Strange and charm HVP contributions to the muon (g − 2) including QED corrections with twisted-mass fermions

Giusti

Lubicz

Martinelli

et al. 2017

J. High Energ. Phys.

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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 including leading-order electromagnetic corrections. We employ the gauge configurations generated by the European Twisted Mass Collaboration (ETMC) with N f = 2 + 1 + 1 dynamical quarks at three values of the lattice spacing (a 0.062, 0.082, 0.089 fm) with pion masses in the range M π 210-450 MeV. The strange and charm quark masses are tuned at their physical values. Neglecting disconnected diagrams and after the extrapolations to the physical pion mass and to the continuum limit we obtain: a s µ (α 2 em ) = (53.1 ± 2.5) · 10 −10 , a s µ (α 3 em ) = (−0.018 ± 0.011) · 10 −10 and a c µ (α 2 em ) = (14.75 ± 0.56) · 10 −10 , a c µ (α 3 em ) = (−0.030 ± 0.013) · 10 −10 for the strange and charm contributions, respectively.

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Section: Jhep10(2017)157mentioning

confidence: 99%

Strange and charm HVP contributions to the muon (g − 2) including QED corrections with twisted-mass fermions

Giusti

Lubicz

Martinelli

et al. 2017

J. High Energ. Phys.

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“…with a kernel function K(Q 2 ), which is known analytically. In recent years a lot of effort has been undertaken to determine the HVP contribution to a µ using lattice calculations (see e.g [20][21][22][23][24][25][26][27]). However, to be competitive with the determination from e + e − → hadrons, a precision of 1% is required.…”

Section: Introduction and Definitionsmentioning

confidence: 99%

Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study

Boyle

Gülpers

Harrison

et al. 2017

J. High Energ. Phys.

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Abstract:We calculate the strong isospin breaking and QED corrections to meson masses and the hadronic vacuum polarization in an exploratory study on a 64 × 24 3 lattice with an inverse lattice spacing of a −1 = 1.78 GeV and an isospin symmetric pion mass of m π = 340 MeV. We include QED in an electro-quenched setup using two different methods, a stochastic and a perturbative approach. We find that the electromagnetic correction to the leading hadronic contribution to the anomalous magnetic moment of the muon is smaller than 1% for the up quark and 0.1% for the strange quark, although it should be noted that this is obtained using unphysical light quark masses. In addition to the results themselves, we compare the precision which can be reached for the same computational cost using each method. Such a comparison is also made for the meson electromagnetic mass-splittings.

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“…Through studying the corresponding QC, it is apparent that to require periodicity, either the Fourier modes in each direction must be quantized for arbitrary values of the field amplitude parameter (as implemented in Ref. [41]), or the Fourier modes can be chosen to be arbitrary while the amplitude parameter must be quantized. Our results have applications in upcoming lattice QCD calculations that aim to extract such quantities using the background field method.…”

Section: Discussionmentioning

confidence: 99%

“…[23], as well as the case of a plane-wave EM fields as proposed in Refs. [40,41]. These examples are presented in Section IV.…”

Section: Introductionmentioning

confidence: 99%

Implementation of general background electromagnetic fields on a periodic hypercubic lattice

Davoudi

Detmold

2015

Phys. Rev. D

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Nonuniform background electromagnetic fields, once implemented in lattice quantum chromodynamics calculations of hadronic systems, provide a means to constrain a large class of electromagnetic properties of hadrons and nuclei, from their higher electromagnetic moments and charge radii to their electromagnetic form factors. We show how nonuniform fields can be constructed on a periodic hypercubic lattice under certain conditions and determine the precise form of the background U (1) gauge links that must be imposed on the quantum chromodynamics gauge-field configurations to maintain periodicity. Once supplemented by a set of quantization conditions on the background-field parameters, this construction guarantees that no nonuniformity occurs in the hadronic correlation functions across the boundary of the lattice. The special cases of uniform electric and magnetic fields, a nonuniform electric field that varies linearly in one spatial coordinate (relevant to the determination of quadruple moment and charge radii), nonuniform electric and magnetic fields with given temporal and spatial dependences (relevant to the determination of nucleon spin polarizabilities) and plane-wave electromagnetic fields (relevant to the determination of electromagnetic form factors) are discussed explicitly.

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Hadronic vacuum polarization and muong−2from magnetic susceptibilities on the lattice

Cited by 41 publications

References 67 publications

Strange and charm HVP contributions to the muon (g − 2) including QED corrections with twisted-mass fermions

Strange and charm HVP contributions to the muon (g − 2) including QED corrections with twisted-mass fermions

Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study

Implementation of general background electromagnetic fields on a periodic hypercubic lattice

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