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Collinear expansion for color singlet cross sections

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arxiv 2006.03055 v2 pith:C4AYO7UX submitted 2020-06-04 hep-ph nucl-th

classification hep-phnucl-th
keywords crosscollinearexpansiondemonstratennloproductionsectionsections
verification ladder T0 review T1 audit T2 compute T3 formal
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We demonstrate how to efficiently expand cross sections for color-singlet production at hadron colliders around the kinematic limit of all final state radiation being collinear to one of the incoming hadrons. This expansion is systematically improvable and applicable to a large class of physical observables. We demonstrate the viability of this technique by obtaining the first two terms in the collinear expansion of the rapidity distribution of the gluon fusion Higgs boson production cross section at next-to-next-to leading order (NNLO) in QCD perturbation theory. Furthermore, we illustrate how this technique is used to extract universal building blocks of scattering cross section like the N-jettiness and transverse momentum beam function at NNLO.

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