Review of Recent Calculations of the Hadronic Vacuum Polarisation Contribution

Zhang, Zhiqing Philippe

doi:10.1051/epjconf/201611801036

Cited by 11 publications

(10 citation statements)

References 29 publications

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“…The present status for the hadronic and weak contributions may be summarized by a had (1) For details I refer to [1][2][3] and references therein (see also [9,10]). The QED prediction of a µ is given by (see [11][12][13])…”

Section: Hvp For the Muon Anomalymentioning

confidence: 99%

Variations on Photon Vacuum Polarization

Jegerlehner

2019

EPJ Web Conf.

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I provide updates for the theoretical predictions of the muon and electron anomalous magnetic moments, for the shift in the fine structure constant α(MZ )and for the weak mixing parameter $ \mathop {\sin }\nolimits^2 \mathop \Theta \nolimits_w (\mathop M\nolimits_Z ) $. Phenomenological results for Euclidean time correlators, the key objects in the lattice QCD approach to hadronic vacuum polarization, are briefly considered. Furthermore,I present a list of isospin breaking and electromagnetic corrections for the lepton moments, which may be used to supplement lattice QCD results obtained in the isospin limit and without the e.m. corrections.

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Section: Hvp For the Muon Anomalymentioning

confidence: 99%

Variations on Photon Vacuum Polarization

Jegerlehner

2019

EPJ Web Conf.

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“…The gauge invariant test is satisfied perfectly well for all the ISR cross sections presented and full LO cross sections of processes (4), (10), (14) and (15), for which we observe a drop of about 32 orders of magnitude, in accordance to what can be expected with the double precision Fortran arithmetic. A less satisfactory drop of the full LO cross section of processes (16) and (17) is due to the ambiguity of the momentum transfer choice in the pion form factor F π (q 2 ) in the Feynman diagrams containing the quartic vertex of sQED with both photon lines being virtual, as discussed in Sect. 2.…”

Section: Resultsmentioning

confidence: 99%

“…To illustrate the effect of the FSR in processes with two photons, the ISR (shaded histograms) and full LO (dashed lines) differential cross sections of processes (15), (16) and (17) at √ s = 1 GeV are plotted in Fig. 17 as functions of invariant mass of the π + π − -, π + π − µ + µ − and π + π − π + π − -systems, respectively.…”

Section: Resultsmentioning

confidence: 99%

“…We have also discussed some problems related to the U(1) electromagnetic gauge invariance that may arise if the momentum transfer dependence is introduced in the couplings of the HLS model or a set of the couplings implemented in the program is incomplete. Figure 17: The differential cross sections of (15), (16) and (17) at √ s = 1 GeV as functions of invariant mass of the π + π − -, π + π − µ + µ − and π + π − π + π − -systems, respectively.…”

Section: Discussionmentioning

confidence: 99%

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Photon radiation in $$e^+e^-\;\rightarrow \;$$ e + e - → hadrons at low energies with carlomat_3.1

Jegerlehner

Kołodziej

2017

Eur. Phys. J. C

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We present a sample of results for the cross sections of several processes of low energetic e + e − annihilation into final states containing pions accompanied by one or two photons, or a light lepton pair. The results, which have been obtained with a new version of a multipurpose Monte Carlo program carlomat, labelled 3.1, demonstrate new capabilities of the program which, among others, include a possibility of taking into account either the initial or final state radiation separately, or both at a time, and a possibility of inclusion of the electromagnetic charged pion form factor for processes with charged pion pairs. We also discuss some problems related to the U(1) electromagnetic gauge invariance.

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“…A small theoretical uncertainty owing to radiative corrections is also important. New experimental campaigns at BESIII [8] and the upgraded VEPP-2000 facility [9] in Novosibirsk, along with continued analyses of the large and varied BaBar data set [10] can be counted on to reduce the HVP uncertainty.…”

Section: The Standard Model Inputsmentioning

confidence: 99%

Next Generation Muong− 2 Experiments

Hertzog

2016

EPJ Web of Conferences

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Abstract. I report on the progress of two new muon anomalous magnetic moment experiments, which are in advanced design and construction phases. The goal of Fermilab E989 is to reduce the experimental uncertainty of a μ from Brookhaven E821 by a factor of 4; that is, δa μ ∼ 16 × 10 −11 , a relative uncertainty of 140 ppb. The method follows the same magic-momentum storage ring concept used at BNL, and pioneered previously at CERN, but muon beam preparation, storage ring internal hardware, field measuring equipment, and detector and electronics systems are all new or upgraded significantly. In contrast, J-PARC E34 will employ a novel approach based on injection of an ultra-cold, low-energy, muon beam injected into a small, but highly uniform magnet. Only a small magnetic focusing field is needed to maintain storage, which distinguishes it from CERN, BNL and Fermilab. E34 aims to roughly match the previous BNL precision in their Phase 1 installation.

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Review of Recent Calculations of the Hadronic Vacuum Polarisation Contribution

Cited by 11 publications

References 29 publications

Variations on Photon Vacuum Polarization

Variations on Photon Vacuum Polarization

Photon radiation in $$e^+e^-\;\rightarrow \;$$ e + e - → hadrons at low energies with carlomat_3.1

Next Generation Muong− 2 Experiments

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