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The search considers the<jats:italic>Z<\/jats:italic>boson decaying into electrons or muons and the<jats:italic>H<\/jats:italic>boson into a pair of<jats:italic>b<\/jats:italic>-quarks or<jats:italic>W<\/jats:italic>bosons. The mass range considered is 230\u2013800\u00a0<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\text {GeV}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mtext>GeV<\/mml:mtext><\/mml:math><\/jats:alternatives><\/jats:inline-formula>for the<jats:italic>A<\/jats:italic>boson and 130\u2013700\u00a0<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\text {GeV}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mtext>GeV<\/mml:mtext><\/mml:math><\/jats:alternatives><\/jats:inline-formula>for the<jats:italic>H<\/jats:italic>boson. The data are in good agreement with the background predicted by the Standard Model, and therefore 95% confidence-level upper limits for<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\sigma \\times B(A\\rightarrow ZH)\\times B(H\\rightarrow bb \\; \\text {or} \\; H \\rightarrow WW)$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mrow><mml:mi>\u03c3<\/mml:mi><mml:mo>\u00d7<\/mml:mo><mml:mi>B<\/mml:mi><mml:mo>(<\/mml:mo><mml:mi>A<\/mml:mi><mml:mo>\u2192<\/mml:mo><mml:mi>Z<\/mml:mi><mml:mi>H<\/mml:mi><mml:mo>)<\/mml:mo><mml:mo>\u00d7<\/mml:mo><mml:mi>B<\/mml:mi><mml:mo>(<\/mml:mo><mml:mi>H<\/mml:mi><mml:mo>\u2192<\/mml:mo><mml:mi>b<\/mml:mi><mml:mi>b<\/mml:mi><mml:mspace\/><mml:mtext>or<\/mml:mtext><mml:mspace\/><mml:mi>H<\/mml:mi><mml:mo>\u2192<\/mml:mo><mml:mi>W<\/mml:mi><mml:mi>W<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>are set. The upper limits are in the range 0.0062\u20130.380\u00a0pb for the<jats:inline-formula><jats:alternatives><jats:tex-math>$$H\\rightarrow bb$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mrow><mml:mi>H<\/mml:mi><mml:mo>\u2192<\/mml:mo><mml:mi>b<\/mml:mi><mml:mi>b<\/mml:mi><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>channel and in the range 0.023\u20138.9\u00a0pb for the<jats:inline-formula><jats:alternatives><jats:tex-math>$$H\\rightarrow WW$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mrow><mml:mi>H<\/mml:mi><mml:mo>\u2192<\/mml:mo><mml:mi>W<\/mml:mi><mml:mi>W<\/mml:mi><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>channel. An interpretation of the results in the context of two-Higgs-doublet models is also given.<\/jats:p>","DOI":"10.1140\/epjc\/s10052-021-09117-5","type":"journal-article","created":{"date-parts":[[2021,5,7]],"date-time":"2021-05-07T06:05:32Z","timestamp":1620367532000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":41,"title":["Search for a heavy Higgs boson decaying into a Z boson and another heavy Higgs boson in the $$\\ell \\ell bb$$ and $$\\ell \\ell WW$$ final states in pp collisions at $$\\sqrt{s}=13$$\u00a0$$\\text {TeV}$$ with the ATLAS detector"],"prefix":"10.1140","volume":"81","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6665-4934","authenticated-orcid":false,"given":"G.","family":"Aad","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5888-2734","authenticated-orcid":false,"given":"B.","family":"Abbott","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7248-3203","authenticated-orcid":false,"given":"D. 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