2019/01/31 by Gillian Lustermans, Johannes K. L. Michel, Frank J. Tackmann +1 · 1 citation
Physics and Astronomy · #Effective field theory #High-Energy Particle Collisions Research #Invariant (physics) #Logarithm #Observable #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Resummation #hep-ph
paper · pdf · doi:10.1007/jhep03(2019)124
43 pages + 10 pages in appendices, 20 figures; v2: journal version; references added, panel with fixed-order result added to figure 15; v3: fixed a typo (incorrect sign) in eq. (B.19)
openalex created_date 2019/01/25 · openalex publication_date 2019/03/01 · arxiv created 2020/10/06 · arxiv updated 2020/10/08 · openalex updated_date 2026/08/05
A bstract We consider Drell-Yan production pp → Z/γ ∗ → ℓ + ℓ − with the simultaneous measurement of the Z -boson transverse momentum q T and 0-jettiness T0 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>T</mml:mi> <mml:mn>0</mml:mn> </mml:msub> </mml:math> . Since both observables resolve the initial-state QCD radiation, the double-differential cross section in q T and T0 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>T</mml:mi> <mml:mn>0</mml:mn> </mml:msub> </mml:math> contains Sudakov double logarithms of both q T /Q and T0/Q <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>T</mml:mi> <mml:mn>0</mml:mn> </mml:msub> <mml:mo>/</mml:mo> <mml:mi>Q</mml:mi> </mml:math> , where Q ∼ m Z is the dilepton invariant mass. We simultaneously resum the logarithms in q T and T0 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>T</mml:mi> <mml:mn>0</mml:mn> </mml:msub> </mml:math> to next-to-next-to-leading logarithmic order (NNLL) matched to next-to-leading fixed order (NLO). Our results provide the first genuinely two-dimensional analytic Sudakov resummation for initial-state radiation. Integrating the resummed double-differential spectrum with an appropriate scale choice over either T0 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>T</mml:mi> <mml:mn>0</mml:mn> </mml:msub> </mml:math> or q T recovers the corresponding single-differential resummation for the remaining variable. We discuss in detail the required effective field theory setups and their combination using two-dimensional resummation profile scales. We also introduce a new method to perform the q T resummation where the underlying resummation is carried out in impact-parameter space, but is consistently turned off depending on the momentum-space target value for q T . Our methods apply at any order and for any color-singlet production process, such that our results can be systematically extended when the relevant perturbative ingredients become available.