Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 2, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP02(2018)108
Keywords
Higgs Physics; Perturbative QCD; Resummation
Categories
Funding
- European Research Council Starting Grant [PDF4BSM]
- European Research Council grant [614577]
- Maria Sklodowska-Curie Individual Fellowship of the European Commission's Horizon Programme [659147]
- Erwin Schrodinger Institute of Vienna
- European Research Council (ERC) [614577] Funding Source: European Research Council (ERC)
- Marie Curie Actions (MSCA) [659147] Funding Source: Marie Curie Actions (MSCA)
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We present an approach to the momentum-space resummation of global, recursively infrared and collinear safe observables that can vanish away from the Sudakov region. We focus on the hadro-production of a generic colour singlet, and we consider the class of observables that depend only upon the total transverse momentum of the radiation, prime examples being the transverse momentum of the singlet, and phi* in Drell-Yan pair production. We derive a resummation formula valid up to next-to-next-to-next-to leading-logarithmic accuracy for the considered class of observables. We use this result to compute state-of-the-art predictions for the Higgs-boson transverse-momentum spectrum at the LHC at next-to-next-to-next-to-leading-logarithmic accuracy matched to fixed next-to-next-to-leading order. Our resummation formula reduces exactly to the customary resummation performed in impact-parameter space in the known cases, and it also predicts the correct power-behaved scaling of the cross section in the limit of small value of the observable. We show how this formalism is efficiently implemented by means of Monte Carlo techniques in a fully exclusive generator that allows one to apply arbitrary cuts on the Born variables for any colour singlet, as well as to automatically match the resummed results to fixed-order calculations.
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