We revisit the calculation of nonfactorizable corrections induced by charm-quark loops in exclusive FCNC B-decays. For the sake of clarity, we make use of a field theory with scalar particles: this allows us to focus on the conceptual issues and to avoid technical complications related to particle spins in QCD. We perform a straightforward calculation of the appropriate correlation function and show that it requires the knowledge of the full generic three-particle distribution amplitude with non-aligned arguments, . Moreover, the dependence of this quantity on the variable is essential for a proper account of the terms in the amplitudes of FCNC B-decays.
{ "license": [ { "url": "http://creativecommons.org/licenses/by/3.0/", "license": "CC-BY-3.0" } ], "copyright": [ { "material": "Article", "holder": "The Authors", "statement": "The Authors" } ], "control_number": "43214", "_oai": { "updated": "2019-01-10T14:56:35Z", "id": "oai:repo.scoap3.org:43214", "sets": [ "PLB" ] }, "authors": [ { "affiliations": [ { "country": "Russia", "value": "D. V. Skobeltsyn Institute of Nuclear Physics, M. V. Lomonosov Moscow State University, Moscow, Russia" } ], "surname": "Kozachuk", "given_names": "Anastasiia", "full_name": "Kozachuk, Anastasiia" }, { "surname": "Melikhov", "given_names": "Dmitri", "affiliations": [ { "country": "Russia", "value": "D. V. Skobeltsyn Institute of Nuclear Physics, M. V. Lomonosov Moscow State University, Moscow, Russia" }, { "country": "Austria", "value": "Institute for High Energy Physics, Austrian Academy of Sciences, Vienna, Austria" }, { "country": "Austria", "value": "Faculty of Physics, University of Vienna, Vienna, Austria" } ], "full_name": "Melikhov, Dmitri", "orcid": "0000-0003-4654-6933", "email": "dmitri_melikhov@gmx.de" } ], "_files": [ { "checksum": "md5:7a495e4592a1e9cdbea38c4c1702aee5", "filetype": "xml", "bucket": "e3e66880-2b8c-45a7-8384-44144a4e462f", "version_id": "5f31594f-b2b3-4112-bf1d-96f577d72885", "key": "10.1016/j.physletb.2018.10.026.xml", "size": 96624 }, { "checksum": "md5:d6704ebb9610b7969460532e1f2610e2", "filetype": "pdf", "bucket": "e3e66880-2b8c-45a7-8384-44144a4e462f", "version_id": "6b7c8aa0-c0d5-4cf9-a0a2-8c72520b9cf1", "key": "10.1016/j.physletb.2018.10.026.pdf", "size": 232999 }, { "checksum": "md5:6b12070bec800cef2102f7d1ae026512", "filetype": "pdf/a", "bucket": "e3e66880-2b8c-45a7-8384-44144a4e462f", "version_id": "23bad6b7-518b-449a-82df-2055aa25232e", "key": "10.1016/j.physletb.2018.10.026_a.pdf", "size": 597726 } ], "record_creation_date": "2018-10-19T14:00:24.118163", "titles": [ { "source": "Elsevier", "title": "Revisiting nonfactorizable charm-loop effects in exclusive FCNC -decays" } ], "collections": [ { "primary": "Physics Letters B" } ], "dois": [ { "value": "10.1016/j.physletb.2018.10.026" } ], "publication_info": [ { "page_end": "381", "journal_title": "Physics Letters B", "material": "article", "journal_volume": "786 C", "artid": "34164", "year": 2019, "page_start": "378" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "abstracts": [ { "source": "Elsevier", "value": "We revisit the calculation of nonfactorizable corrections induced by charm-quark loops in exclusive FCNC B-decays. For the sake of clarity, we make use of a field theory with scalar particles: this allows us to focus on the conceptual issues and to avoid technical complications related to particle spins in QCD. We perform a straightforward calculation of the appropriate correlation function and show that it requires the knowledge of the full generic three-particle distribution amplitude with non-aligned arguments, <math><mo>\u2329</mo><mn>0</mn><mo>|</mo><mover><mrow><mi>s</mi></mrow><mrow><mo>\u00af</mo></mrow></mover><mo>(</mo><mi>y</mi><mo>)</mo><msub><mrow><mi>G</mi></mrow><mrow><mi>\u03bc</mi><mi>\u03bd</mi></mrow></msub><mo>(</mo><mi>x</mi><mo>)</mo><mi>b</mi><mo>(</mo><mn>0</mn><mo>)</mo><mo>|</mo><mi>B</mi><mo>(</mo><mi>p</mi><mo>)</mo><mo>\u232a</mo></math>. Moreover, the dependence of this quantity on the variable <math><msup><mrow><mo>(</mo><mi>x</mi><mo>\u2212</mo><mi>y</mi><mo>)</mo></mrow><mrow><mn>2</mn></mrow></msup></math> is essential for a proper account of the <math><msup><mrow><mo>(</mo><msub><mrow><mi>\u039b</mi></mrow><mrow><mi>QCD</mi></mrow></msub><msub><mrow><mi>m</mi></mrow><mrow><mi>b</mi></mrow></msub><mo>/</mo><msubsup><mrow><mi>m</mi></mrow><mrow><mi>c</mi></mrow><mrow><mn>2</mn></mrow></msubsup><mo>)</mo></mrow><mrow><mi>n</mi></mrow></msup></math> terms in the amplitudes of FCNC B-decays." } ], "imprints": [ { "date": "2018-10-20", "publisher": "Elsevier" } ], "acquisition_source": { "date": "2019-01-10T15:19:12.579019", "source": "Elsevier", "method": "Elsevier", "submission_number": "62fe5eb614df11e99ed802163e01809a" } }