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Caola, Fabrizio; Chakraborty, Amlan; Gambuti, Giulio; von Manteuffel, Andreas; Tancredi, Lorenzo (, Journal of High Energy Physics)
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Caola, Fabrizio; Chakraborty, Amlan; Gambuti, Giulio; von Manteuffel, Andreas; Tancredi, Lorenzo (, Physical Review Letters)
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Caola, Fabrizio; Chakraborty, Amlan; Gambuti, Giulio; von Manteuffel, Andreas; Tancredi, Lorenzo (, Journal of High Energy Physics)A bstract We compute the three-loop corrections to the helicity amplitudes for q $$ \overline{q} $$ q ¯ → Q $$ \overline{Q} $$ Q ¯ scattering in massless QCD. In the Lorentz decomposition of the scattering amplitude we avoid evanescent Lorentz structures and map the corresponding form factors directly to the physical helicity amplitudes. We reduce the amplitudes to master integrals and express them in terms of harmonic polylogarithms. The renormalised amplitudes exhibit infrared divergences of dipole and quadrupole type, as predicted by previous work on the infrared structure of multileg scattering amplitudes. We derive the finite remainders and present explicit results for all relevant partonic channels, both for equal and different quark flavours.more » « less
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