Resummation of High Order Corrections in Higgs Boson Plus Jet Production at the LHC

Abstract

We study the effect of multiple parton radiation to Higgs boson plus jet production at the LHC, by applying the transverse momentum dependent (TMD) factorization formalism to resum large logarithmic contributions to all orders in the expansion of the strong interaction coupling. We show that the appropriate resummation scale should be the jet transverse momentum, rather than the partonic center of mass energy which has been normally used in the TMD resummation formalism. Furthermore, the transverse momentum distribution of the Higgs boson, particularly near the lower cut-off applied on the jet transverse momentum, can only be reliably predicted by the resummation calculation which is free of the so-called Sudakov-shoulder singularity problem, present in fixed-order calculations.

7 pages, 4 figures

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• Associated production of a dilepton and a ${\rm Y}(J/\psi )$ at the LHC as a probe of gluon transverse momentum dependent distributions
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• Lepton-jet Correlation in Deep Inelastic Scattering
• Mapping the Kinematical Regimes of Semi-Inclusive Deep Inelastic Scattering
• Large Transverse Momentum in Semi-Inclusive Deeply Inelastic Scattering Beyond Lowest Order
• Resummation of High Order Corrections in $Z$ Boson Plus Jet Production at the LHC
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• Transverse Momentum Resummation for $t$-channel single top quark production at the LHC
• Transverse-momentum resummation for boson plus jet production at hadron colliders
• Collinear functions for QCD resummations
• Transverse Momentum Resummation for $s$-channel single top quark production at the LHC
• Efficient Fourier Transforms for Transverse Momentum Dependent Distributions
• Probing Jet Medium Interactions via $Z$($H$)+jet Momentum Imbalances
• Soft Gluon Resummation in Higgs Boson Plus Two Jet Production at the LHC
• NNLO QCD Corrections for Higgs-plus-jet Production in the Four-lepton Decay Mode