Improved fits to the xF3 CCFR data at the next-to-next-to-leading order and beyond

Jun, 2001
42 pages
Published in:
  • Phys.Part.Nucl. 34 (2003) 20-46,
  • Fiz.Elem.Chast.Atom.Yadra 34 (2003) 43-88,
  • Phys.Part.Nucl. 38 (2007) 6, 827-827 (erratum)
e-Print:
Report number:
  • CERN-TH-2001-058

Citations per year

20012007201320192024051015
Abstract:
Using the results for the NNLO QCD corrections to anomalous dimensions of odd xF3xF_3 Mellin moments and N3^3LO corrections to their coefficient functions we improve our previous analysis of the CCFR'97 data for xF3xF_3. The possibility of extracting from the fits of 1/Q21/Q^2-corrections is analysed using three independent models,including infrared renormalon one. Theoretical quetion of applicability of the renormalon-type inspired large-β0\beta_0 approximation for estimating corrections to the coefficient functions of odd xF3xF_3 and even non-singlet F2F_2 moments are considered. The comparison with [1/1] Pad\'e estimates is given. The obtained NLO and NNLO values of αs(MZ)\alpha_s(M_Z) are supporting the results of our less definite previous analysis and are in agreement with the world average value αs(MZ)0.118\alpha_s(M_Z)\approx 0.118. We also present first N3^3LO extraction of αs(MZ)\alpha_s(M_Z). The interplay between higher-order perturbative QCD corrections and 1/Q21/Q^2-terms is demonstrated. The results of our studies are compared with those obtained recently using the NNLO model of the kernel of DGLAP equation and with the results of the NNLO fits to CCFR'97 xF3xF_3 data, performed by the Bernstein polynomial technique.
  • neutrino nucleon: deep inelastic scattering
  • nucleon: structure function
  • quantum chromodynamics: correction
  • perturbation theory: higher-order
  • effect: higher-twist
  • renormalization group
  • correction: nonperturbative
  • strong interaction: coupling constant
  • numerical calculations
  • interpretation of experiments: Batavia TEVATRON PS