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Vector two-point functions in finite volume using partially quenched chiral perturbation theory at two loops

Bijnens, Johan LU and Relefors, Johan LU (2017) In Journal of High Energy Physics 2017(12).
Abstract

We calculate vector-vector 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... (More)

We calculate vector-vector 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.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Chiral Lagrangians, Lattice QCD, Precision QED
in
Journal of High Energy Physics
volume
2017
issue
12
publisher
Springer
external identifiers
  • scopus:85039435553
  • wos:000418375200004
ISSN
1126-6708
DOI
10.1007/JHEP12(2017)114
language
English
LU publication?
yes
id
e584c45b-3486-4bfe-8b85-9c545bb4b695
date added to LUP
2018-01-05 10:49:56
date last changed
2018-01-16 13:29:23
@article{e584c45b-3486-4bfe-8b85-9c545bb4b695,
  abstract     = {<p>We calculate vector-vector 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.</p>},
  articleno    = {114},
  author       = {Bijnens, Johan and Relefors, Johan},
  issn         = {1126-6708},
  keyword      = {Chiral Lagrangians,Lattice QCD,Precision QED},
  language     = {eng},
  month        = {12},
  number       = {12},
  publisher    = {Springer},
  series       = {Journal of High Energy Physics},
  title        = {Vector two-point functions in finite volume using partially quenched chiral perturbation theory at two loops},
  url          = {http://dx.doi.org/10.1007/JHEP12(2017)114},
  volume       = {2017},
  year         = {2017},
}