Connected, Disconnected and Strange Quark Contributions to HVP

Abstract

We calculate all neutral vector two-point functions in Chiral Perturbation Theory (ChPT) to two-loop order and use these to estimate the ratio of disconnected to connected contributions as well as contributions involving the strange quark. We extend the ratio of $-1/10$ derived earlier in two flavour ChPT at one-loop order to a large part of the higher order contributions and discuss corrections to it. Our final estimate of the ratio disconnected to connected is negative and a few % in magnitude.

arXiv comment16 pages, one reference added, small changes in table 1, version to be published in JHEP

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Cited by in corpus (11)

• The anomalous magnetic moment of the muon in the Standard Model
• The hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• Lattice QCD and the anomalous magnetic moment of the muon
• The light-quark contribution to the leading HVP term of the muon $g-2$ from twisted-mass fermions
• The hadronic running of the electromagnetic coupling and the electroweak mixing angle from lattice QCD
• Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study
• Pseudoscalar pole light-by-light contributions to the muon $(g-2)$ in Resonance Chiral Theory
• Vector two-point functions in finite volume using partially quenched chiral perturbation theory
• Ratios of the hadronic contributions to the lepton $g-2$ from Lattice QCD+QED simulations
• Determination of the NNLO low-energy constant $C_{93}$
• ChPT loops for the lattice: pion mass and decay constant, HVP at finite volume and $n\bar{n}$-oscillations