Effects of longitudinal short-distance constraints on the hadronic light-by-light contribution to the muon g- 2
- Author(s)
- Jan Lüdtke, Massimiliano Procura
- Abstract
We present a model-independent method to estimate the effects of short-distance constraints (SDCs) on the hadronic light-by-light contribution to the muon anomalous magnetic moment aμHLbL. The relevant loop integral is evaluated using multi-parameter families of interpolation functions, which satisfy by construction all constraints derived from general principles and smoothly connect the low-energy region with those where either two or all three independent photon virtualities become large. In agreement with other recent model-based analyses, we find that the SDCs and thus the infinite towers of heavy intermediate states that are responsible for saturating them have a rather small effect on aμHLbL. Taking as input the known ground-state pseudoscalar pole contributions, we obtain that the longitudinal SDCs increase aμHLbL by (9.1 ± 5.0) × 10 - 11, where the isovector channel is responsible for (2.6 ± 1.5) × 10 - 11. More precise estimates can be obtained with our method as soon as further accurate, model-independent information about important low-energy contributions from hadronic states with masses up to 1–2 GeV become available.
- Organisation(s)
- Particle Physics
- Journal
- European Physical Journal C
- Volume
- 80
- No. of pages
- 20
- ISSN
- 1434-6044
- DOI
- https://doi.org/10.1140/epjc/s10052-020-08611-6
- Publication date
- 12-2020
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103034 Particle physics, 103036 Theoretical physics
- ASJC Scopus subject areas
- Engineering (miscellaneous), Physics and Astronomy (miscellaneous)
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/effects-of-longitudinal-shortdistance-constraints-on-the-hadronic-lightbylight-contribution-to-the-muon-g-2(ec3dfbc7-0d79-4808-8522-b53684b6090c).html