The 3-Loop Non-Singlet Heavy Flavor Contributions and Anomalous Dimensions for the Structure Function and Transversity
Jun 18, 2014
91 pages
Published in:
- Nucl.Phys.B 886 (2014) 733-823
- Published: Sep, 2014
e-Print:
- 1406.4654 [hep-ph]
Report number:
- DESY-13--210,
- DO--TH-13-11,
- MITP-14-028,
- SFB-CPP-14-26,
- LPN-14-074
View in:
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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
References(138)
Figures(33)
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