Vector twopoint functions in finite volume using partially quenched chiral perturbation theory at two loops
Abstract
We calculate vectorvector correlation functions at two loops using partially quenched chiral perturbation theory including finite volume effects and twisted boundary conditions. We present expressions for the flavor neutral cases and the flavor charged case with equal masses. Using these expressions we give an estimate for the ratio of disconnected to connected contributions for the strange part of the electromagnetic current. We give numerical examples for the effects of partial quenching, finite volume and twisting and suggest the use of different twists to check the size of finite volume effects. The main use of this work is expected to be for lattice QCD calculations of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment.
 Publication:

Journal of High Energy Physics
 Pub Date:
 December 2017
 DOI:
 10.1007/JHEP12(2017)114
 arXiv:
 arXiv:1710.04479
 Bibcode:
 2017JHEP...12..114B
 Keywords:

 Chiral Lagrangians;
 Lattice QCD;
 Precision QED;
 High Energy Physics  Lattice;
 High Energy Physics  Phenomenology
 EPrint:
 31 pages, some sentences added regarding partial twisting, reformatted equations in appendix to make them more legible