The 3-Loop Non-Singlet Heavy Flavor Contributions and Anomalous Dimensions for the Structure Function F2(x,Q2)F_2(x,Q^2) and Transversity

Jun 18, 2014
91 pages
Published in:
  • Nucl.Phys.B 886 (2014) 733-823
  • Published: Sep, 2014
e-Print:
Report number:
  • DESY-13--210,
  • DO--TH-13-11,
  • MITP-14-028,
  • SFB-CPP-14-26,
  • LPN-14-074

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Abstract: (Elsevier)
We calculate the massive flavor non-singlet Wilson coefficient for the heavy flavor contributions to the structure function F2(x,Q2) in the asymptotic region Q2≫m2 and the associated operator matrix element Aqq,Q(3),NS(N) to 3-loop order in Quantum Chromodynamics at general values of the Mellin variable N . This matrix element is associated with the vector current and axial vector current for the even and the odd moments N , respectively. We also calculate the corresponding operator matrix elements for transversity, compute the contributions to the 3-loop anomalous dimensions to O(NF) and compare to results in the literature. The 3-loop matching of the flavor non-singlet distribution in the variable flavor number scheme is derived. All results can be expressed in terms of nested harmonic sums in N space and harmonic polylogarithms in x -space. Numerical results are presented for the non-singlet charm quark contribution to F2(x,Q2) .
Note:
  • 82 pages, 3 style files, 33 Figures
  • current: axial-vector
  • current: vector
  • flavor
  • anomalous dimension
  • structure function
  • transversity
  • heavy quark
  • quantum chromodynamics
  • numerical calculations
  • quark