Variable-flavor number scheme for next-to-next-to-leading order

2006/01/31 by R. S. Thorne · 1 citation
Mathematics · Physics and Astronomy · #Coupling (piping) #Flavor #High-Energy Particle Collisions Research #Mathematical analysis #Mathematics #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Parton #Physics #Quantum Chromodynamics and Particle Interactions #Quark #Scheme (mathematics) #Variable (mathematics) #hep-ph

paper · pdf · doi:10.1103/physrevd.73.054019

published as Phys.Rev.D73:054019,2006 · 17 pages, 5 figures included as .ps files, uses axodraw. One additional explanatory sentence after eq. (25). Correction of typos and updated references. To be published in Phys. Rev. D

arxiv created 2006/03/16 · openalex publication_date 2006/03/24 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/08

Abstract

At NNLO it is particularly important to have a Variable-flavor Number Scheme (VFNS) to deal with heavy quarks because there are major problems with both the zero-mass variable-flavor number scheme and the fixed-flavor number scheme. I illustrate these problems and present a general formulation of a Variable-flavor Number Scheme (VFNS) for heavy quarks that is explicitly implemented up to NNLO in the strong coupling constant \ensuremathα_S, and may be used in NNLO global fits for parton distributions. The procedure combines elements of the ACOT(\ensuremathχ) scheme and the Thorne-Roberts scheme. Despite the fact that at NNLO the parton distributions are discontinuous as one changes the number of active quark flavors, all physical quantities are continuous at flavor transitions and the comparison with data is successful.

Citations

• O(αs2) contributions to charm production in charged-current deep-inelastic lepton-hadron scattering
• Improved approximations for the three-loop splitting functions in QCD
• CTEQ6 parton distributions with heavy quark mass effects
• The strange sea density and charm production in deep inelastic charged current processes
• Heavy-quark correlations in deep-inelastic electroproduction
• Leptoproduction of heavy quarks. II. A unified QCD formulation of charged and neutral current processes from fixed-target to collider energies
• Measurement of D meson production and F2 in deep-inelastic scattering at HERA
• NNLO evolution of deep-inelastic structure functions: the non-singlet case

Cited by

• Uncertainties on α S in global PDF analyses and implications for predicted hadronic cross sections