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C"],"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    Processes with\n                    <jats:inline-formula>\n                      <jats:alternatives>\n                        <jats:tex-math>$$\\tau $$<\/jats:tex-math>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                          <mml:mi>\u03c4<\/mml:mi>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    -leptons in the final state are important for Standard Model measurements and searches for physics beyond the Standard Model. The ATLAS experiment at the Large Hadron Collider observes\n                    <jats:inline-formula>\n                      <jats:alternatives>\n                        <jats:tex-math>$$\\tau $$<\/jats:tex-math>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                          <mml:mi>\u03c4<\/mml:mi>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    -leptons produced in proton\u2013proton collisions only through their decay products. Data analyses involving hadronically decaying\n                    <jats:inline-formula>\n                      <jats:alternatives>\n                        <jats:tex-math>$$\\tau $$<\/jats:tex-math>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                          <mml:mi>\u03c4<\/mml:mi>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    -leptons face challenges due to backgrounds from jets misidentified as\n                    <jats:inline-formula>\n                      <jats:alternatives>\n                        <jats:tex-math>$$\\tau $$<\/jats:tex-math>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                          <mml:mi>\u03c4<\/mml:mi>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    -leptons that are not modelled reliably by Monte Carlo simulations. Data-driven methods such as the fake-factor method allow such misidentified backgrounds to be predicted by measuring transfer factors, known as fake factors, in data from dedicated regions. This paper describes a refined technique for determining the fake factors, the Universal Fake Factor method. It evaluates the fake factors for a signal region by using fake factors from samples enriched in different sources of jets misidentified as\n                    <jats:inline-formula>\n                      <jats:alternatives>\n                        <jats:tex-math>$$\\tau $$<\/jats:tex-math>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                          <mml:mi>\u03c4<\/mml:mi>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    -leptons (light-quark, gluon,\n                    <jats:italic>b<\/jats:italic>\n                    -quark, and pile-up jets). Each fake factor is calculated as a linear combination of fake factors measured in these different enriched samples. For the full Run\u00a02 data set, the systematic uncertainty of the calculated fake factors, evaluated using\n                    <jats:inline-formula>\n                      <jats:alternatives>\n                        <jats:tex-math>$$W(\\mu \\nu )$$<\/jats:tex-math>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                          <mml:mrow>\n                            <mml:mi>W<\/mml:mi>\n                            <mml:mo>(<\/mml:mo>\n                            <mml:mi>\u03bc<\/mml:mi>\n                            <mml:mi>\u03bd<\/mml:mi>\n                            <mml:mo>)<\/mml:mo>\n                          <\/mml:mrow>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    enriched event sample, ranges from 15 to 35% depending on the\n                    <jats:inline-formula>\n                      <jats:alternatives>\n                        <jats:tex-math>$$\\tau $$<\/jats:tex-math>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                          <mml:mi>\u03c4<\/mml:mi>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    -lepton\u2019s transverse momentum and charged-particle decay multiplicity.\n                  <\/jats:p>","DOI":"10.1140\/epjc\/s10052-025-14916-1","type":"journal-article","created":{"date-parts":[[2025,12,19]],"date-time":"2025-12-19T12:34:32Z","timestamp":1766147672000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Estimation of backgrounds from jets misidentified as $$\\tau $$-leptons using the Universal Fake Factor method with the ATLAS detector"],"prefix":"10.1140","volume":"85","author":[{"name":"ATLAS Collaboration","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6665-4934","authenticated-orcid":false,"given":"G.","family":"Aad","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/00fw8bp86","id-type":"ROR","asserted-by":"publisher"}],"name":"CPPM, Aix-Marseille Universit\u00e9, CNRS\/IN2P3"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7616-1554","authenticated-orcid":false,"given":"E.","family":"Aakvaag","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/03zga2b32","id-type":"ROR","asserted-by":"publisher"}],"name":"University of Bergen"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5888-2734","authenticated-orcid":false,"given":"B.","family":"Abbott","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/02aqsxs83","id-type":"ROR","asserted-by":"publisher"}],"name":"University of Oklahoma"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0287-5869","authenticated-orcid":false,"given":"S.","family":"Abdelhameed","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/00e5k0821","id-type":"ROR","asserted-by":"publisher"}],"name":"New York University Abu Dhabi"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1002-1652","authenticated-orcid":false,"given":"K.","family":"Abeling","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/01y9bpm73","id-type":"ROR","asserted-by":"publisher"}],"name":"Georg-August-Universit\u00e4t G\u00f6ttingen"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5763-2760","authenticated-orcid":false,"given":"N. 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