In this addendum to Ref. [1] we show that the mismatch between the $$\rho $$ – $$\omega $$ mixing parameter $$\epsilon _{\rho \omega }$$ as extracted from $$\eta '\rightarrow \pi ^+\pi ^-\gamma $$ and $$e^+e^-\rightarrow \pi ^+\pi ^-$$ can be resolved by including higher orders in the expansion in $$e^2$$ in the description of the $$\eta '\rightarrow \pi ^+\pi ^-\gamma $$ decay. We repeat the analysis in this extended framework and update the numerical results accordingly.
{
"_oai": {
"updated": "2023-02-28T21:31:22Z",
"id": "oai:repo.scoap3.org:74625",
"sets": [
"EPJC"
]
},
"authors": [
{
"affiliations": [
{
"country": "Switzerland",
"value": "Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, Bern, 3012, Switzerland",
"organization": "University of Bern"
}
],
"surname": "Holz",
"email": "holz@itp.unibe.ch",
"full_name": "Holz, Simon",
"given_names": "Simon"
},
{
"affiliations": [
{
"country": "Germany",
"value": "Forschungszentrum J\u00fclich, Institute for Advanced Simulation, Institut f\u00fcr Kernphysik, and J\u00fclich Center for Hadron Physics, J\u00fclich, 52425, Germany",
"organization": "Institut f\u00fcr Kernphysik, and J\u00fclich Center for Hadron Physics"
}
],
"surname": "Hanhart",
"given_names": "Christoph",
"full_name": "Hanhart, Christoph"
},
{
"affiliations": [
{
"country": "Switzerland",
"value": "Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, Bern, 3012, Switzerland",
"organization": "University of Bern"
}
],
"surname": "Hoferichter",
"given_names": "Martin",
"full_name": "Hoferichter, Martin"
},
{
"affiliations": [
{
"country": "Germany",
"value": "Helmholtz-Institut f\u00fcr Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universit\u00e4t Bonn, Bonn, 53115, Germany",
"organization": "Universit\u00e4t Bonn"
}
],
"surname": "Kubis",
"given_names": "Bastian",
"full_name": "Kubis, Bastian"
}
],
"titles": [
{
"source": "Springer",
"title": "Addendum: A dispersive analysis of $$\\varvec{\\eta '\\rightarrow \\pi ^+\\pi ^-\\gamma }$$ <math> <mrow> <msup> <mi>\u03b7</mi> <mo>\u2032</mo> </msup> <mo>\u2192</mo> <msup> <mi>\u03c0</mi> <mo>+</mo> </msup> <msup> <mi>\u03c0</mi> <mo>-</mo> </msup> <mi>\u03b3</mi> </mrow> </math> and $$\\varvec{\\eta '\\rightarrow \\ell ^+\\ell ^-\\gamma }$$ <math> <mrow> <msup> <mi>\u03b7</mi> <mo>\u2032</mo> </msup> <mo>\u2192</mo> <msup> <mi>\u2113</mi> <mo>+</mo> </msup> <msup> <mi>\u2113</mi> <mo>-</mo> </msup> <mi>\u03b3</mi> </mrow> </math>"
}
],
"dois": [
{
"value": "10.1140/epjc/s10052-022-11094-2"
}
],
"publication_info": [
{
"page_end": "3",
"journal_title": "European Physical Journal C",
"material": "article",
"journal_volume": "82",
"artid": "s10052-022-11094-2",
"year": 2022,
"page_start": "1",
"journal_issue": "12"
}
],
"$schema": "http://repo.scoap3.org/schemas/hep.json",
"acquisition_source": {
"date": "2023-02-28T21:30:54.593430",
"source": "Springer",
"method": "Springer",
"submission_number": "0e041186b7af11eda920065bd8dc6b20"
},
"page_nr": [
3
],
"license": [
{
"url": "https://creativecommons.org/licenses//by/4.0",
"license": "CC-BY-4.0"
}
],
"copyright": [
{
"holder": "The Author(s)",
"year": "2022"
}
],
"control_number": "74625",
"record_creation_date": "2022-12-21T15:30:21.305756",
"_files": [
{
"checksum": "md5:a3c94a05a60ad9e7a3e0ddd9569f2cbc",
"filetype": "xml",
"bucket": "acdda926-b428-4a3d-8a79-f5be077582b8",
"version_id": "b7f12d4a-e0ab-4787-93f5-e3d2ca2809ce",
"key": "10.1140/epjc/s10052-022-11094-2.xml",
"size": 21523
},
{
"checksum": "md5:240908c425bdec6d1afdd3ce3946924b",
"filetype": "pdf/a",
"bucket": "acdda926-b428-4a3d-8a79-f5be077582b8",
"version_id": "6ab15028-4635-4964-a541-173625ef553e",
"key": "10.1140/epjc/s10052-022-11094-2_a.pdf",
"size": 573631
}
],
"collections": [
{
"primary": "European Physical Journal C"
}
],
"abstracts": [
{
"source": "Springer",
"value": "In this addendum to Ref. [1] we show that the mismatch between the $$\\rho $$ <math> <mi>\u03c1</mi> </math> \u2013 $$\\omega $$ <math> <mi>\u03c9</mi> </math> mixing parameter $$\\epsilon _{\\rho \\omega }$$ <math> <msub> <mi>\u03f5</mi> <mrow> <mi>\u03c1</mi> <mi>\u03c9</mi> </mrow> </msub> </math> as extracted from $$\\eta '\\rightarrow \\pi ^+\\pi ^-\\gamma $$ <math> <mrow> <msup> <mi>\u03b7</mi> <mo>\u2032</mo> </msup> <mo>\u2192</mo> <msup> <mi>\u03c0</mi> <mo>+</mo> </msup> <msup> <mi>\u03c0</mi> <mo>-</mo> </msup> <mi>\u03b3</mi> </mrow> </math> and $$e^+e^-\\rightarrow \\pi ^+\\pi ^-$$ <math> <mrow> <msup> <mi>e</mi> <mo>+</mo> </msup> <msup> <mi>e</mi> <mo>-</mo> </msup> <mo>\u2192</mo> <msup> <mi>\u03c0</mi> <mo>+</mo> </msup> <msup> <mi>\u03c0</mi> <mo>-</mo> </msup> </mrow> </math> can be resolved by including higher orders in the expansion in $$e^2$$ <math> <msup> <mi>e</mi> <mn>2</mn> </msup> </math> in the description of the $$\\eta '\\rightarrow \\pi ^+\\pi ^-\\gamma $$ <math> <mrow> <msup> <mi>\u03b7</mi> <mo>\u2032</mo> </msup> <mo>\u2192</mo> <msup> <mi>\u03c0</mi> <mo>+</mo> </msup> <msup> <mi>\u03c0</mi> <mo>-</mo> </msup> <mi>\u03b3</mi> </mrow> </math> decay. We repeat the analysis in this extended framework and update the numerical results accordingly."
}
],
"imprints": [
{
"date": "2022-12-21",
"publisher": "Springer"
}
]
}