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Phys."],"published-print":{"date-parts":[[2021,1]]},"abstract":"Abstract<\/jats:sc>\n <\/jats:title>Inspired by the recent development in determining the property of the observed Higgs boson, we explore the CP<\/jats:italic>-violating (CPV) $$ -{c}_{\\mathrm{CPV}}{hW}^{+\\mu \\nu}{\\tilde{W}}_{\\mu \\nu}^{-}\/\\upsilon $$<\/jats:tex-math>\n \u2212<\/mml:mo>\n \n c<\/mml:mi>\n CPV<\/mml:mi>\n <\/mml:msub>\n \n hW<\/mml:mi>\n \n +<\/mml:mo>\n \u03bc\u03bd<\/mml:mi>\n <\/mml:mrow>\n <\/mml:msup>\n \n \n W<\/mml:mi>\n \u02dc<\/mml:mo>\n <\/mml:mover>\n \u03bc\u03bd<\/mml:mi>\n \u2212<\/mml:mo>\n <\/mml:msubsup>\n \/<\/mml:mo>\n \u03c5<\/mml:mi>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula> coupling in the Standard Model (SM) and beyond, where W<\/jats:italic>\u00b1\u03bc\u03bd<\/jats:italic><\/jats:sup> and $$ {\\tilde{W}}^{\\pm \\mu \\nu} $$<\/jats:tex-math>\n \n \n W<\/mml:mi>\n \u02dc<\/mml:mo>\n <\/mml:mover>\n \n \u00b1<\/mml:mo>\n \u03bc\u03bd<\/mml:mi>\n <\/mml:mrow>\n <\/mml:msup>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula> denote the W<\/jats:italic>-boson field strength and its dual. To begin with, we show that the leading-order SM contribution to this CPV vertex appears at two-loop level. By summing over the quark flavor indices in the two loop integrals analytically, we can estimate the order of the corresponding Wilson coefficient to be $$ {c}_{\\mathrm{CPV}}^{\\mathrm{SM}}\\sim \\mathcal{O}\\left({10}^{-23}\\right) $$<\/jats:tex-math>\n \n c<\/mml:mi>\n CPV<\/mml:mi>\n SM<\/mml:mi>\n <\/mml:msubsup>\n \u223c<\/mml:mo>\n O<\/mml:mi>\n \n \n 10<\/mml:mn>\n \n \u2212<\/mml:mo>\n 23<\/mml:mn>\n <\/mml:mrow>\n <\/mml:msup>\n <\/mml:mfenced>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula>, which is obviously too small to be probed at the LHC and planned future colliders. Then we investigate this CPV hW<\/jats:italic>+<\/jats:sup>W<\/jats:italic>\u2212<\/jats:italic><\/jats:sup> interaction in two Beyond the Standard Model benchmark models: the left-right model and the complex 2-Higgs doublet model (C2HDM). Unlike what happens for the SM, the dominant contributions in both models arise at the one-loop level, and the corresponding Wilson coefficient can be as large as of $$ \\mathcal{O} $$<\/jats:tex-math>\n O<\/mml:mi>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula>(10\u2212<\/jats:italic>9<\/jats:sup>) in the former model and of $$ \\mathcal{O} $$<\/jats:tex-math>\n O<\/mml:mi>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula>(10\u2212<\/jats:italic>3<\/jats:sup>) for the latter. In light of such a large CPV effect in the hW<\/jats:italic>+<\/jats:sup>W<\/jats:italic>\u2212<\/jats:italic><\/jats:sup> coupling, we also give the formulae for the leading one-loop contribution to the related CPV hZZ<\/jats:italic> effective operator in the complex 2-Higgs doublet model. The order of magnitude of the Wilson coefficients in the C2HDM may be within reach of the high-luminosity LHC or planned future colliders.<\/jats:p>","DOI":"10.1007\/jhep01(2021)168","type":"journal-article","created":{"date-parts":[[2021,1,27]],"date-time":"2021-01-27T09:03:02Z","timestamp":1611738182000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["CP violating hW+W\u2212 coupling in the Standard Model and beyond"],"prefix":"10.1007","volume":"2021","author":[{"given":"Da","family":"Huang","sequence":"first","affiliation":[]},{"given":"Ant\u00f3nio P.","family":"Morais","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7948-0355","authenticated-orcid":false,"given":"Rui","family":"Santos","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,1,26]]},"reference":[{"key":"14687_CR1","unstructured":"ATLAS collaboration, Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC, Phys. 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