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Phys."],"published-print":{"date-parts":[[2020,11]]},"abstract":"<jats:title>A<jats:sc>bstract<\/jats:sc>\n                     <\/jats:title><jats:p>We define form factors and scattering amplitudes in Conformal Field Theory as the coefficient of the singularity of the Fourier transform of time-ordered correlation functions, as <jats:italic>p<\/jats:italic><jats:sup>2<\/jats:sup> \u2192 0. In particular, we study a form factor <jats:italic>F<\/jats:italic>(<jats:italic>s, t, u<\/jats:italic>) obtained from a four-point function of identical scalar primary operators. We show that <jats:italic>F<\/jats:italic> is crossing symmetric, analytic and it has a partial wave expansion. We illustrate our findings in the <jats:italic>3d<\/jats:italic> Ising model, perturbative fixed points and holographic CFTs.<\/jats:p>","DOI":"10.1007\/jhep11(2020)139","type":"journal-article","created":{"date-parts":[[2020,11,26]],"date-time":"2020-11-26T02:02:51Z","timestamp":1606356171000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":23,"title":["A scattering amplitude in Conformal Field Theory"],"prefix":"10.1007","volume":"2020","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9220-4681","authenticated-orcid":false,"given":"Marc","family":"Gillioz","sequence":"first","affiliation":[]},{"given":"Marco","family":"Meineri","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0345-4836","authenticated-orcid":false,"given":"Jo\u00e3o","family":"Penedones","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,11,25]]},"reference":[{"key":"14255_CR1","doi-asserted-by":"publisher","first-page":"205","DOI":"10.1007\/BF02731765","volume":"1","author":"H Lehmann","year":"1955","unstructured":"H. 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