Transverse Momentum Distributions from Effective Field Theory with Numerical Results

Abstract

We derive a factorization theorem for the differential distributions of electroweak gauge bosons in Drell-Yan processes, valid at low transverse momentum, using the Soft-Collinear Effective Theory (SCET). We present the next-to-leading logarithmic (NLL) transverse momentum distribution for the Z-boson and find good agreement with Tevatron data collected by the CDF and D0 collaborations. We also give predictions for the Higgs boson differential distributions at NLL based on a factorization theorem derived in earlier work. We derive formulae for all quantities needed to study low transverse momentum production of color-neutral particles within the effective theory. This effective field theory approach is free of Landau poles and can be formulated entirely in momentum space. Consequently, our results are free of the Landau-pole prescriptions necessary in the standard approach.

37 pages, 5 figures; refs added, typos fixed; discussion extended in some places

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• TMD Evolution: Matching SIDIS to Drell-Yan and W/Z Boson Production
• The Quark Beam Function at Two Loops
• Dominant mixed QCD-electroweak $\mathcal{O}({\alpha }_s\alpha )$ corrections to Drell-Yan processes in the resonance region
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• Nonperturbative contributions to a resummed leptonic angular distribution in inclusive neutral vector boson production
• Forward Jets and Energy Flow in Hadronic Collisions
• Joint Two-Dimensional Resummation in $q_T$ and $0$-Jettiness at NNLL
• Transverse Momentum Distributions in the Non-Perturbative Region
• Mixed NNLO QCD x electroweak corrections of O(N_f α_s α) to single-W/Z production at the LHC
• An Exclusive Soft Function for Drell-Yan at Next-to-Next-to-Leading Order
• The Fully-Differential Quark Beam Function at NNLO
• Final state interactions in single- and multi-particle inclusive cross sections for hadronic collisions
• The Fully-Differential Gluon Beam Function at NNLO
• A fast and accurate method for perturbative resummation of transverse momentum-dependent observables
• Collinear functions for QCD resummations
• Higgs as a gluon trigger
• Transverse Energy Flow with Forward and Central Jets at the LHC
• On electroweak corrections to neutral current Drell-Yan with the POWHEG BOX
• Nonperturbative contributions to a resummed leptonic angular distribution in inclusive $Z/{\gamma }^{\ast }$ boson production
• Hadronic production of $W$ and $Z$ bosons at large transverse momentum
• Phenomenology of electro-weak bosons at hadron colliders with novel variables
• Transverse Momentum Distributions from Effective Field Theory