Cargando…

Dispersive analysis of the pion transition form factor

We analyze the pion transition form factor using dispersion theory. We calculate the singly-virtual form factor in the time-like region based on data for the [Formula: see text] cross section, generalizing previous studies on [Formula: see text] decays and [Formula: see text] scattering, and verify...

Descripción completa

Detalles Bibliográficos
Autores principales: Hoferichter, M., Kubis, B., Leupold, S., Niecknig, F., Schneider, S. P.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2014
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4446060/
https://www.ncbi.nlm.nih.gov/pubmed/26041972
http://dx.doi.org/10.1140/epjc/s10052-014-3180-0
_version_ 1782373369914589184
author Hoferichter, M.
Kubis, B.
Leupold, S.
Niecknig, F.
Schneider, S. P.
author_facet Hoferichter, M.
Kubis, B.
Leupold, S.
Niecknig, F.
Schneider, S. P.
author_sort Hoferichter, M.
collection PubMed
description We analyze the pion transition form factor using dispersion theory. We calculate the singly-virtual form factor in the time-like region based on data for the [Formula: see text] cross section, generalizing previous studies on [Formula: see text] decays and [Formula: see text] scattering, and verify our result by comparing to [Formula: see text] data. We perform the analytic continuation to the space-like region, predicting the poorly-constrained space-like transition form factor below [Formula: see text] , and extract the slope of the form factor at vanishing momentum transfer [Formula: see text] . We derive the dispersive formalism necessary for the extension of these results to the doubly-virtual case, as required for the pion-pole contribution to hadronic light-by-light scattering in the anomalous magnetic moment of the muon.
format Online
Article
Text
id pubmed-4446060
institution National Center for Biotechnology Information
language English
publishDate 2014
publisher Springer Berlin Heidelberg
record_format MEDLINE/PubMed
spelling pubmed-44460602015-06-01 Dispersive analysis of the pion transition form factor Hoferichter, M. Kubis, B. Leupold, S. Niecknig, F. Schneider, S. P. Eur Phys J C Part Fields Regular Article - Theoretical Physics We analyze the pion transition form factor using dispersion theory. We calculate the singly-virtual form factor in the time-like region based on data for the [Formula: see text] cross section, generalizing previous studies on [Formula: see text] decays and [Formula: see text] scattering, and verify our result by comparing to [Formula: see text] data. We perform the analytic continuation to the space-like region, predicting the poorly-constrained space-like transition form factor below [Formula: see text] , and extract the slope of the form factor at vanishing momentum transfer [Formula: see text] . We derive the dispersive formalism necessary for the extension of these results to the doubly-virtual case, as required for the pion-pole contribution to hadronic light-by-light scattering in the anomalous magnetic moment of the muon. Springer Berlin Heidelberg 2014-11-27 2014 /pmc/articles/PMC4446060/ /pubmed/26041972 http://dx.doi.org/10.1140/epjc/s10052-014-3180-0 Text en © The Author(s) 2014 https://creativecommons.org/licenses/by/4.0/ Open AccessThis article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited. Funded by SCOAP3 / License Version CC BY 4.0
spellingShingle Regular Article - Theoretical Physics
Hoferichter, M.
Kubis, B.
Leupold, S.
Niecknig, F.
Schneider, S. P.
Dispersive analysis of the pion transition form factor
title Dispersive analysis of the pion transition form factor
title_full Dispersive analysis of the pion transition form factor
title_fullStr Dispersive analysis of the pion transition form factor
title_full_unstemmed Dispersive analysis of the pion transition form factor
title_short Dispersive analysis of the pion transition form factor
title_sort dispersive analysis of the pion transition form factor
topic Regular Article - Theoretical Physics
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4446060/
https://www.ncbi.nlm.nih.gov/pubmed/26041972
http://dx.doi.org/10.1140/epjc/s10052-014-3180-0
work_keys_str_mv AT hoferichterm dispersiveanalysisofthepiontransitionformfactor
AT kubisb dispersiveanalysisofthepiontransitionformfactor
AT leupolds dispersiveanalysisofthepiontransitionformfactor
AT niecknigf dispersiveanalysisofthepiontransitionformfactor
AT schneidersp dispersiveanalysisofthepiontransitionformfactor