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Title: Matching factorization theorems with an inverse-error weighting

We propose a new fast method to match factorization theorems applicable in different kinematical regions, such as the transverse-momentum-dependent and the collinear factorization theorems in Quantum Chromodynamics. At variance with well-known approaches relying on their simple addition and subsequent subtraction of double-counted contributions, ours simply builds on their weighting using the theory uncertainties deduced from the factorization theorems themselves. This allows us to estimate the unknown complete matched cross section from an inverse-error-weighted average. The method is simple and provides an evaluation of the theoretical uncertainty of the matched cross section associated with the uncertainties from the power corrections to the factorization theorems (additional uncertainties, such as the nonperturbative ones, should be added for a proper comparison with experimental data). Its usage is illustrated with several basic examples, such as Z boson, W boson, H 0 boson and Drell–Yan lepton-pair production in hadronic collisions, and compared to the state-of-the-art Collins–Soper–Sterman subtraction scheme. In conclusion, it is also not limited to the transverse-momentum spectrum, and can straightforwardly be extended to match any (un)polarized cross section differential in other variables, including multi-differential measurements.
Authors:
 [1] ;  [2] ; ORCiD logo [3] ;  [4] ; ORCiD logo [5]
  1. Istituto Nazionale di Fisica Nucleare (INFN), Pavia (Italy)
  2. Johannes Gutenberg Univ., Mainz (Germany). PRISMA Cluster of Excellence & Mainz Inst. for Theoretical Physics
  3. Inst. of Nuclear Physics of Orsay (IPNO), Orsay (France)
  4. Univ. di Cagliari, Cagliari (Italy). Dipartimento di Fisica
  5. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States). Theory Center
Publication Date:
Report Number(s):
JLAB-THY-18-2611; DOE/OR/-23177-4304; arXiv:1801.01480
Journal ID: ISSN 0370-2693; PII: S0370269318302715
Grant/Contract Number:
647981; AC05-06OR23177; 320389
Type:
Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 781; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Research Org:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); European Union (EU); Centre National de la Recherche Scientifique (CNRS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
OSTI Identifier:
1431379
Alternate Identifier(s):
OSTI ID: 1432676