Transverse momentum dependence of the angular distribution of the Drell-Yan process

Abstract

We calculate the transverse momentum Q_{\perp} dependence of the helicity structure functions for the hadroproduction of a massive pair of leptons with pair invariant mass Q. These structure functions determine the angular distribution of the leptons in the pair rest frame. Unphysical behavior in the region Q_{\perp} --> 0 is seen in the results of calculations done at fixed-order in QCD perturbation theory. We use current conservation to demonstrate that the unphysical inverse-power and \ln(Q/Q_{\perp}) logarithmic divergences in three of the four independent helicity structure functions share the same origin as the divergent terms in fixed-order calculations of the angular-integrated cross section. We show that the resummation of these divergences to all orders in the strong coupling strength α_s can be reduced to the solved problem of the resummation of the divergences in the angular-integrated cross section, resulting in well-behaved predictions in the small Q_{\perp} region. Among other results, we show the resummed part of the helicity structure functions preserves the Lam-Tung relation between the longitudinal and double spin-flip structure functions as a function of Q_{\perp} to all orders in α_s.

arXiv comment18 pages, 4 figures; typos corrected, references updated, a few clarifications recommended by the referee. Paper accepted for publication in Physical Review D

References in corpus (18)

• QCD Factorization for Semi-Inclusive Deep-Inelastic Scattering at Low Transverse Momentum
• Tevatron Run-1 Z Boson Data and Collins-Soper-Sterman Resummation Formalism
• QCD Factorization for Spin-Dependent Cross Sections in DIS and Drell-Yan Processes at Low Transverse Momentum
• Role of the nonperturbative input in QCD resummed Drell-Yan $Q_T$-distributions
• Measurement of Angular Distributions of Drell-Yan Dimuons in p + d Interaction at 800 GeV/c
• QCD prediction for heavy boson transverse momentum distributions
• New Fits for the Non-Perturbative Parameters in the CSS Resummation Formalism
• Vector boson production in hadronic collisions
• Semi-Inclusive Hadron Production at HERA: the Effect of QCD Gluon Resummation
• Semi-Inclusive Deeply Inelastic Scattering at Small q_T
• Drell-Yan Lepton Angular Distribution at Small Transverse Momentum
• Angular Distributions of Drell-Yan Lepton Pairs at the Tevatron: Order ${\alpha }_s^2$ Corrections and Monte Carlo Studies
• Effects of QCD Resummation on Distributions of Leptons from the Decay of Electroweak Vector Bosons
• Phenomenology of multiple parton radiation in semi-inclusive deep-inelastic scattering
• Massive Lepton Pairs as a Prompt Photon Surrogate
• QCD Factorized Drell-Yan Cross Section at Large Transverse Momentum
• Azimuthal asymmetries at HERA: theoretical aspects
• Drell-Yan Massive Lepton-Pair's Angular Distributions at Large $Q_T$

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