The 3-loop non-singlet heavy flavor contributions and anomalous dimensions for the structure function ${F}_{2}\left(x,{Q}^{2}\right)$ and transversity

Ablinger, J.; Behring, A.; Wißbrock, F.; Schneider, C.; Blümlein, J.; De Freitas, A.; Hasselhuhn, A.; Round, M.; von Manteuffel, A.

doi:10.1016/j.nuclphysb.2014.07.010

Journal Article

PUBDB-2014-04119

The 3-loop non-singlet heavy flavor contributions and anomalous dimensions for the structure function ${F}_{2}\left(x,{Q}^{2}\right)$ and transversity

Ablinger, J. ; Behring, A.DESY* ; Blümlein, J. (Corresponding Author)DESY* ; De Freitas, A.Extern* ; Hasselhuhn, A. ; von Manteuffel, A. ; Round, M.DESY* ; Schneider, C. ; Wißbrock, F.Extern*

2014
North-Holland Publ. Co. Amsterdam

Nuclear physics <Amsterdam> / B 886, 733 - 823 (2014) [10.1016/j.nuclphysb.2014.07.010]

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Please use a persistent id in citations: doi:10.1016/j.nuclphysb.2014.07.010 doi:10.3204/PUBDB-2014-04119

Abstract: We calculate the massive flavor non-singlet Wilson coefficient for the heavy flavor contributions to the structure function F2(x,Q2)F2(x,Q2) in the asymptotic region Q2≫m2Q2≫m2 and the associated operator matrix element View the MathML sourceAqq,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)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)F2(x,Q2).

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