We continue our work on the light-front formulation of quarkonium γ ∗ γ transition form factors, extending the formalism to J PC = 2++ tensor meson states. We present an analysis of γ ∗ γ → χ c2 transition amplitude and the pertinent helicity form factors. Our relativistic formalism is based on the light-front quark-antiquark wave function of the quarkonium. We calculate the two-photon decay width as well as three independent γ ∗ γ transition form factors for J z = 0, 1, 2 as a function of photon virtuality Q 2. We compare our results for the two-photon decay width to the recently measured ones by the Belle and BES III collaborations. Even when including relativistic corrections, a very small Γ(λ = 0)/Γ(λ = 2) ~ 10 −3 ratio is found which is beyond present experimental precision. We also present the form factors as a function of photon virtuality and compare them to the sparse experimental data on the so-called off-shell width. The formalism presented here can be used for other 2++ mesons, excited charmonia or bottomonia or even light $$ q\overline{q} $$ -mesons.
{ "_oai": { "updated": "2024-06-24T18:30:24Z", "id": "oai:repo.scoap3.org:86536", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "Poland", "value": "Institute of Nuclear Physics, Polish Academy of Sciences, ul. Radzikowskiego 152, Krak\u00f3w, PL-31-342, Poland", "organization": "Polish Academy of Sciences" } ], "surname": "Babiarz", "email": "izabela.babiarz@ifj.edu.pl", "full_name": "Babiarz, Izabela", "given_names": "Izabela" }, { "affiliations": [ { "country": "Sweden", "value": "Department of Physics, Lund University, Lund, SE-223 62, Sweden", "organization": "Lund University" } ], "surname": "Pasechnik", "email": "roman.pasechnik@fysik.lu.se", "full_name": "Pasechnik, Roman", "given_names": "Roman" }, { "affiliations": [ { "country": "Poland", "value": "Institute of Nuclear Physics, Polish Academy of Sciences, ul. Radzikowskiego 152, Krak\u00f3w, PL-31-342, Poland", "organization": "Polish Academy of Sciences" } ], "surname": "Sch\u00e4fer", "email": "wolfgang.schafer@ifj.edu.pl", "full_name": "Sch\u00e4fer, Wolfgang", "given_names": "Wolfgang" }, { "affiliations": [ { "country": "Poland", "value": "Institute of Nuclear Physics, Polish Academy of Sciences, ul. Radzikowskiego 152, Krak\u00f3w, PL-31-342, Poland", "organization": "Polish Academy of Sciences" }, { "country": "Poland", "value": "College of Mathematics and Natural Sciences, University of Rzesz\u00f3w, ul. Pigonia 1, Rzesz\u00f3w, PL-35-310, Poland", "organization": "University of Rzesz\u00f3w" } ], "surname": "Szczurek", "email": "antoni.szczurek@ifj.edu.pl", "full_name": "Szczurek, Antoni", "given_names": "Antoni" } ], "titles": [ { "source": "Springer", "title": "\u03c7 c2 tensor meson transition form factors in the light front approach" } ], "dois": [ { "value": "10.1007/JHEP06(2024)159" } ], "publication_info": [ { "page_end": "21", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2024", "artid": "JHEP06(2024)159", "year": 2024, "page_start": "1", "journal_issue": "6" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2024-06-24T18:30:19.762806", "source": "Springer", "method": "Springer", "submission_number": "c3d77646325711ef9fecbe60ec5a7b90" }, "page_nr": [ 21 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2024" } ], "control_number": "86536", "record_creation_date": "2024-06-24T18:30:19.762840", "_files": [ { "checksum": "md5:bf91757ddf485632d36e970a1bf6070b", "filetype": "xml", "bucket": "88137cf0-722c-473f-8382-65db5cb73412", "version_id": "bdbec68a-025c-4230-b219-746396901eb0", "key": "10.1007/JHEP06(2024)159.xml", "size": 15061 }, { "checksum": "md5:32e0f8e229bdf104c62c9c7ffa6779e9", "filetype": "pdf/a", "bucket": "88137cf0-722c-473f-8382-65db5cb73412", "version_id": "db27deb6-64dd-406f-a19e-6d4632e59698", "key": "10.1007/JHEP06(2024)159_a.pdf", "size": 707164 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-ph" ], "value": "2402.13910" } ], "abstracts": [ { "source": "Springer", "value": "We continue our work on the light-front formulation of quarkonium \u03b3 \u2217 \u03b3 transition form factors, extending the formalism to J PC = 2++ tensor meson states. We present an analysis of \u03b3 \u2217 \u03b3 \u2192 \u03c7 c2 transition amplitude and the pertinent helicity form factors. Our relativistic formalism is based on the light-front quark-antiquark wave function of the quarkonium. We calculate the two-photon decay width as well as three independent \u03b3 \u2217 \u03b3 transition form factors for J z = 0, 1, 2 as a function of photon virtuality Q 2. We compare our results for the two-photon decay width to the recently measured ones by the Belle and BES III collaborations. Even when including relativistic corrections, a very small \u0393(\u03bb = 0)/\u0393(\u03bb = 2) ~ 10 \u22123 ratio is found which is beyond present experimental precision. We also present the form factors as a function of photon virtuality and compare them to the sparse experimental data on the so-called off-shell width. The formalism presented here can be used for other 2++ mesons, excited charmonia or bottomonia or even light <math> <mi>q</mi> <mover> <mi>q</mi> <mo>\u00af</mo> </mover> </math> $$ q\\overline{q} $$ -mesons." } ], "imprints": [ { "date": "2024-06-24", "publisher": "Springer" } ] }