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The data were taken in 2022 with the COMPASS spectrometer using the 160\u00a0GeV muon beam at CERN, statistically balancing the existing data on transversely polarized proton targets. The first results from about two-thirds of the new data have total uncertainties smaller by up to a factor of three compared to the previous deuteron measurements. Using all the COMPASS proton and deuteron results, both the transversity and the Sivers distribution functions of the\n                    <c:math xmlns:c=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <c:mi>u<\/c:mi>\n                    <\/c:math>\n                    and\n                    <e:math xmlns:e=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <e:mi>d<\/e:mi>\n                    <\/e:math>\n                    quark, as well as the tensor charge in the measured\n                    <g:math xmlns:g=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <g:mi>x<\/g:mi>\n                    <\/g:math>\n                    range are extracted. In particular, the accuracy of the\n                    <i:math xmlns:i=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <i:mi>d<\/i:mi>\n                    <\/i:math>\n                    quark results is significantly improved.\n                  <\/jats:p>\n                  <jats:sec>\n                    <jats:title\/>\n                    <jats:supplementary-material>\n                      <jats:permissions>\n                        <jats:copyright-statement>Published by the American Physical Society<\/jats:copyright-statement>\n                        <jats:copyright-year>2024<\/jats:copyright-year>\n                      <\/jats:permissions>\n                    <\/jats:supplementary-material>\n                  <\/jats:sec>","DOI":"10.1103\/physrevlett.133.101903","type":"journal-article","created":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T11:28:05Z","timestamp":1725535685000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":6,"title":["High-Statistics Measurement of Collins and Sivers Asymmetries for Transversely Polarized Deuterons"],"prefix":"10.1103","volume":"133","author":[{"ORCID":"https:\/\/orcid.org\/0009-0007-0196-8178","authenticated-orcid":true,"given":"G.\u2009D.","family":"Alexeev","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/01ggx4157","id-type":"ROR","asserted-by":"publisher"}],"name":"CERN"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7306-8255","authenticated-orcid":true,"given":"M.\u2009G.","family":"Alexeev","sequence":"additional","affiliation":[{"name":"University of Torino"},{"id":[{"id":"https:\/\/ror.org\/01vj6ck58","id-type":"ROR","asserted-by":"publisher"}],"name":"Torino Section of INFN"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6297-9857","authenticated-orcid":true,"given":"C.","family":"Alice","sequence":"additional","affiliation":[{"name":"University of Torino"},{"id":[{"id":"https:\/\/ror.org\/01vj6ck58","id-type":"ROR","asserted-by":"publisher"}],"name":"Torino Section of INFN"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3095-8610","authenticated-orcid":true,"given":"A.","family":"Amoroso","sequence":"additional","affiliation":[{"name":"University of Torino"},{"id":[{"id":"https:\/\/ror.org\/01vj6ck58","id-type":"ROR","asserted-by":"publisher"}],"name":"Torino Section of INFN"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9957-9910","authenticated-orcid":true,"given":"V.","family":"Andrieux","sequence":"additional","affiliation":[{"name":"University of Illinois at Urbana-Champaign"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0003-3595-9561","authenticated-orcid":true,"given":"V.","family":"Anosov","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/01ggx4157","id-type":"ROR","asserted-by":"publisher"}],"name":"CERN"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4325-3329","authenticated-orcid":true,"given":"S.","family":"Asatryan","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/00ad27c73","id-type":"ROR","asserted-by":"publisher"}],"name":"A.I. 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