The massless three-loop Wilson coefficients for the deep-inelastic structure functions F2, FL, xF3 and g1

被引：29
作者：
Bluemlein, J. [1 ]
Marquard, P. [1 ]
Schneider, C. [2 ]
Schoenwald, K. [3 ]
机构：
[1] DESY, DESY, Platanenallee 6, D-15738 Zeuthen, Germany
[2] Johannes Kepler Univ Linz, Res Inst Symbol Computat, Altenberger Str 69, A-4040 Linz, Austria
[3] Karlsruher Inst Technol, Inst Theoret Teilchenphys, D-76128 Karlsruhe, Germany
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2022年 / 2022卷 / 11期
基金：
奥地利科学基金会; 欧盟地平线“2020”;
关键词：
Deep Inelastic Scattering or Small-x Physics; Higher-Order Perturbative Calculations; Renormalization Group; The Strong Coupling; POLARIZED STRUCTURE FUNCTIONS; HEAVY FLAVOR CONTRIBUTIONS; ORDINARY DIFFERENCE-EQUATIONS; SINGLET STRUCTURE FUNCTIONS; OPERATOR MATRIX-ELEMENTS; QCD BETA-FUNCTION; TO-LEADING ORDER; BJORKEN SUM-RULE; SPLITTING FUNCTIONS; HARMONIC SUMS;
D O I：
10.1007/JHEP11(2022)156
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
We calculate the massless unpolarized Wilson coefficients for deeply inelastic scattering for the structure functions F-2(x, Q(2)), F-L(x, Q(2)), xF(3)(x, Q(2)) in the (MS) over bar scheme and the polarized Wilson coefficients of the structure function g(1)(x, Q(2)) in the Larin scheme up to three-loop order in QCD in a fully automated way based on the method of arbitrary high Mellin moments. We work in the Larin scheme in the case of contributing axial-vector couplings or polarized nucleons. For the unpolarized structure functions we compare to results given in the literature. The polarized three-loop Wilson coefficients are calculated for the first time. As a by-product we also obtain the quarkonic three-loop anomalous dimensions from the O(1/epsilon) terms of the unrenormalized forward Compton amplitude. Expansions for small and large values of the Bjorken variable x are provided.
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页数：84
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