Publisher’s Note: Hadronic contribution to the 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>factor: A theoretical determination [Phys. Rev. D<b>85</b>, 014029 (2012)]

Bodenstein, S.; Domínguez, C. A.; Schilcher, Karl

doi:10.1103/physrevd.87.079902

Cited by 15 publications

(22 citation statements)

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“…For the c-quark contribution a result of 14.4(1)×10 −10 is given by [36], with which our result is in good agreement. For the s-quark contribution, we can make predictions based on the data compilation from [3] for energies up to 2 GeV in the dispersion integral and by using perturbative QCD for higher energies.…”

Section: Discussion/conclusionsupporting

confidence: 78%

Strange and charm quark contributions to the anomalous magnetic moment of the muon

et al. 2014

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We describe a new technique to determine the contribution to the anomalous magnetic moment of the muon coming from the hadronic vacuum polarization using lattice QCD. Our method reconstructs the Adler function, using Padé approximants, from its derivatives at q 2 = 0 obtained simply and accurately from time-moments of the vector current-current correlator at zero spatial momentum. We test the method using strange quark correlators on large-volume gluon field configurations that include the effect of up and down (at physical masses), strange and charm quarks in the sea at multiple values of the lattice spacing and multiple volumes and show that 1% accuracy is achievable. For the charm quark contributions we use our previously determined moments with up, down and strange quarks in the sea on very fine lattices. We find the (connected) contribution to the anomalous moment from the strange quark vacuum polarization to be a s µ = 53.41(59) × 10 −10 , and from charm to be a c µ = 14.42(39) × 10 −10 . These are in good agreement with flavour-separated results from non-lattice methods, given caveats about the comparison. The extension of our method to the light quark contribution and to that from the quark-line disconnected diagram is straightforward.

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Section: Discussion/conclusionsupporting

confidence: 78%

Strange and charm quark contributions to the anomalous magnetic moment of the muon

et al. 2014

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“…Recently it was proposed to extract the photon vacuum polarization in the spacelike region from Bhabha and µe scattering data [8,9], which would allow for a direct comparison with lattice results. Other approaches that combine phenomenological constraints with information from lattice QCD employ expansions of a hvp µ in terms of Mellin-Barnes moments [10][11][12] or finite energy sum rules [13,14]. The hadronic light-by-light scattering contribution has so far only been determined via model estimates (as reviewed in [5,[15][16][17]), although efforts have been undertaken to move towards a data-driven [18][19][20][21][22][23][24][25][26][27] approach as well.…”

Section: Jhep10(2017)020mentioning

confidence: 99%

The hadronic vacuum polarization contribution to the muon g − 2 from lattice QCD

Morte

Francis

Gülpers

et al. 2017

J. High Energ. Phys.

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We present a calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment, a hvp µ , in lattice QCD employing dynamical up and down quarks. We focus on controlling the infrared regime of the vacuum polarization function. To this end we employ several complementary approaches, including Padé fits, time moments and the time-momentum representation. We correct our results for finitevolume effects by combining the Gounaris-Sakurai parameterization of the timelike pion form factor with the Lüscher formalism. On a subset of our ensembles we have derived an upper bound on the magnitude of quark-disconnected diagrams and found that they decrease the estimate for a hvp JHEP10 (2017)020 10 −10 , where the first error is statistical, and the second denotes the combined systematic uncertainty. Based on our findings we discuss the prospects for determining a hvp µ with sub-percent precision.

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“…To this we should add an additional systematic error of 1% for missing v 4 terms in the NRQCD vector current, giving 0.762 (51 …”

Section: B υ Leptonic Widthmentioning

confidence: 99%

ϒandϒ′leptonic widths,a
Colquhoun
¹
,
Dowdall
²
,
Davies
³

et al. 2015
Phys. Rev. D
117
9
127
1
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We determine the decay rate to leptons of the ground-state Υ meson and its first radial excitation in lattice QCD for the first time. We use radiatively-improved NRQCD for the b quarks and include u, d, s and c quarks in the sea with u/d masses down to their physical values. We find Γ(Υ → e + e − ) = 1.19(11) keV and Γ(Υ → e + e − ) = 0.69(9) keV, both in good agreement with experiment. The decay constants we obtain are included in a summary plot of meson decay constants from lattice QCD given in the Conclusions. We also test time-moments of the vector current-current correlator against values determined from the b quark contribution to σ(e + e − → hadrons) and calculate the b-quark piece of the hadronic vacuum polarisation contribution to the anomalous magnetic moment of the muon, a

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Publisher’s Note: Hadronic contribution to the muong−2factor: A theoretical determination [Phys. Rev. D85, 014029 (2012)]

Cited by 15 publications

References 0 publications

Strange and charm quark contributions to the anomalous magnetic moment of the muon

Strange and charm quark contributions to the anomalous magnetic moment of the muon

The hadronic vacuum polarization contribution to the muon g − 2 from lattice QCD

ϒandϒ′leptonic widths,a
Colquhoun
¹
,
Dowdall
²
,
Davies
³

et al. 2015
Phys. Rev. D
117
9
127
1
View full text Add to dashboard Cite

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Publisher’s Note: Hadronic contribution to the muong−2factor: A theoretical determination [Phys. Rev. D85, 014029 (2012)]

Cited by 15 publications

References 0 publications

Strange and charm quark contributions to the anomalous magnetic moment of the muon

Strange and charm quark contributions to the anomalous magnetic moment of the muon

The hadronic vacuum polarization contribution to the muon g − 2 from lattice QCD

ϒandϒ′leptonic widths,aColquhoun1, Dowdall2, Davies3 et al. 2015Phys. Rev. D11791271View full textAdd to dashboardCite

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ϒandϒ′leptonic widths,a
Colquhoun
¹
,
Dowdall
²
,
Davies
³

et al. 2015
Phys. Rev. D
117
9
127
1
View full text Add to dashboard Cite