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.

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

References in corpus (4)

• Mesonic low-energy constants
• Strange and charm quark contributions to the anomalous magnetic moment of the muon
• Quark disconnected diagrams in chiral perturbation theory
• A New Strategy for the Lattice Evaluation of the Leading Order Hadronic Contribution to $(g-2{)}_{\mu }$

Cited by in corpus (3)

• Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study
• Vector two-point functions in finite volume using partially quenched chiral perturbation theory
• Determination of the NNLO low-energy constant $C_{93}$