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The transverse momentum (pT) distribution of Higgs bosons at hadron colliders enables a detailed probe of its production dynamics and is a key ingredient to precision studies of Higgs boson properties, but receives very large QCD corrections. We obtain a precision prediction for the pT spectrum by matching second-order (NNLO) QCD corrections at large pT with resummation of third-order logarithmic (N3LL) corrections at small pT. We achieve significantly improved results for pT<35 GeV with perturbative uncertainties ≲±6%, and thus a convergent perturbative series for all values of pT.
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Chen et al. (2018) studied this question.
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