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