Short-distance HLbL contributions to the muon anomalous magnetic moment beyond perturbation theory
Bijnens, Johan LU
; Hermansson-Truedsson, Nils
LU
; Laub, Laetitia
and Rodríguez-Sánchez, Antonio
LU
(2020)
In Journal of High Energy Physics
2020(10).
- Abstract
The hadronic light-by-light contribution to the muon anomalous magnetic moment depends on an integration over three off-shell momenta squared (Qi2) of the correlator of four electromagnetic currents and the fourth leg at zero momentum. We derive the short-distance expansion of this correlator in the limit where all three Qi2 are large and in the Euclidean domain in QCD. This is done via a systematic operator product expansion (OPE) in a background field which we construct. The leading order term in the expansion is the massless quark loop. We also compute the non-perturbative part of the next-to-leading contribution, which is suppressed by quark masses, and the chiral limit part of the next-to-next-to leading contributions to the OPE.... (More)
The hadronic light-by-light contribution to the muon anomalous magnetic moment depends on an integration over three off-shell momenta squared (Qi2) of the correlator of four electromagnetic currents and the fourth leg at zero momentum. We derive the short-distance expansion of this correlator in the limit where all three Qi2 are large and in the Euclidean domain in QCD. This is done via a systematic operator product expansion (OPE) in a background field which we construct. The leading order term in the expansion is the massless quark loop. We also compute the non-perturbative part of the next-to-leading contribution, which is suppressed by quark masses, and the chiral limit part of the next-to-next-to leading contributions to the OPE. We build a renormalisation program for the OPE. The numerical role of the higher-order contributions is estimated and found to be small.
(Less)
- author
- Bijnens, Johan
LU
; Hermansson-Truedsson, Nils
LU
; Laub, Laetitia
and Rodríguez-Sánchez, Antonio
LU
- organization
- publishing date
- 2020
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Nonperturbative Effects, Perturbative QCD, Precision QED
- in
- Journal of High Energy Physics
- volume
- 2020
- issue
- 10
- article number
- 203
- publisher
- Springer
- external identifiers
-
- scopus:85094674269
- ISSN
- 1029-8479
- DOI
- 10.1007/JHEP10(2020)203
- language
- English
- LU publication?
- yes
- id
- e4e44ae9-af50-41c9-a534-1274221229f4
- date added to LUP
- 2020-11-17 09:58:14
- date last changed
- 2024-04-03 16:41:17
@article{e4e44ae9-af50-41c9-a534-1274221229f4,
abstract = {{<p>The hadronic light-by-light contribution to the muon anomalous magnetic moment depends on an integration over three off-shell momenta squared (Qi2) of the correlator of four electromagnetic currents and the fourth leg at zero momentum. We derive the short-distance expansion of this correlator in the limit where all three Qi2 are large and in the Euclidean domain in QCD. This is done via a systematic operator product expansion (OPE) in a background field which we construct. The leading order term in the expansion is the massless quark loop. We also compute the non-perturbative part of the next-to-leading contribution, which is suppressed by quark masses, and the chiral limit part of the next-to-next-to leading contributions to the OPE. We build a renormalisation program for the OPE. The numerical role of the higher-order contributions is estimated and found to be small.</p>}},
author = {{Bijnens, Johan and Hermansson-Truedsson, Nils and Laub, Laetitia and Rodríguez-Sánchez, Antonio}},
issn = {{1029-8479}},
keywords = {{Nonperturbative Effects; Perturbative QCD; Precision QED}},
language = {{eng}},
number = {{10}},
publisher = {{Springer}},
series = {{Journal of High Energy Physics}},
title = {{Short-distance HLbL contributions to the muon anomalous magnetic moment beyond perturbation theory}},
url = {{http://dx.doi.org/10.1007/JHEP10(2020)203}},
doi = {{10.1007/JHEP10(2020)203}},
volume = {{2020}},
year = {{2020}},
}