Lattice Calculation of the Lowest-Order Hadronic Contribution to the Muon Anomalous Magnetic Moment

Blum, Tom

doi:10.1103/physrevlett.91.052001

Cited by 236 publications

(301 citation statements)

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“…Note that similar observables are used to compute hadronic contributions to the anomalous magnetic moment of the muon in Refs. [36][37][38], where one can find a more detailed discussion of the renormalization of the correlators. A similar cancellation was pointed out in Ref.…”

Section: Vacuum Polarization Functionsmentioning

confidence: 99%

Sparameter in QCD from domain wall fermions

et al. 2010

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We have computed the SU (2) Low Energy Constant l 5 and the mass splitting between charged and neutral pions from a lattice QCD simulation of n f = 2 + 1 flavors of Domain Wall Fermions at a scale of a −1 = 2.33 GeV. Relating l 5 to the S parameter in QCD we obtain a value of S(m H = 120 GeV) = 0.42(7), in agreement with previous determinations. Our result can be compared with the value of S from electroweak precision data which constrains strongly interacting models of new physics like Technicolor. This work in QCD serves as a test for the methods to compute the S parameter with Domain Wall Fermions in theories beyond the Standard Model. We also infer a value for the pion mass splitting in agreement with experiment.

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Section: Vacuum Polarization Functionsmentioning

confidence: 99%

Sparameter in QCD from domain wall fermions

et al. 2010

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“…where α is the fine structure constant, m µ is the muon mass, and f (K 2 /m 2 µ ) is a known function [6], which assumes a maximum at K 2 = ( √ 5 − 2)m 2 µ ≈ 0.003 GeV 2 . To control the chiral extrapolation, we use a modified definition proposed in Refs.…”

Section: Determination Of a Hvp µmentioning

confidence: 99%

“…In addition, a number of approaches have been employed to describe the HVP function on the lattice. Here, well-motivated [5][6][7][8][9][10] or even model-independent [11] functional forms to fit the results computed at discrete lattice momenta have been used. They lead to smooth functions that describe well the desired momentum region, including zero momentum, needed to obtain the renormalized HVP function.…”

Section: Introductionmentioning

confidence: 99%

Computing the hadronic vacuum polarization function by analytic continuation

et al. 2013

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We propose a method to compute the hadronic vacuum polarization function on the lattice at continuous values of photon momenta bridging between the spacelike and timelike regions. We provide two independent demonstrations to show that this method leads to the desired hadronic vacuum polarization function in Minkowski spacetime. We show with the example of the leadingorder QCD correction to the muon anomalous magnetic moment that this approach can provide a valuable alternative method for calculations of physical quantities where the hadronic vacuum polarization function enters.

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“…A new theoretical development is an attempt to calculate the hadronic vacuumpolarization effect on muon g − 2 in lattice QCD [18].…”

Section: Introductionmentioning

confidence: 99%