Logarithmic contributions to the polarized O(αs3) asymptotic massive Wilson coefficients and operator matrix elements in deeply inelastic scattering

被引：14

作者：

Blumlein, J. ^{[1
]}

De Freitas, A. ^{[1
]}

Saragnese, M. ^{[1
]}

Schneider, C. ^{[3
]}

Schoenwald, K. ^{[1
,2
]}

机构：

[1] DESY, Platanenallee 6, D-15738 Zeuthen, Germany

[2] Karlsruher Inst Technol KIT, Inst Theoret Teilchenphys, Campus Sud, D-76128 Karlsruhe, Germany

[3] Johannes Kepler Univ Linz, Res Inst Symbol Computat RISC, Altenberger Str 69, A-4040 Linz, Austria

来源：

PHYSICAL REVIEW D | 2021年 / 104卷 / 03期

基金：

欧盟地平线“2020”; 奥地利科学基金会;

关键词：

HEAVY FLAVOR CONTRIBUTIONS; STRUCTURE-FUNCTION F-2(X; QCD BETA-FUNCTION; HARMONIC SUMS; ANALYTIC CONTINUATION; MELLIN TRANSFORMS; NUMBER SCHEME; TARGET-MASS; QUARK MASS; CHARM ELECTROPRODUCTION;

D O I：

10.1103/PhysRevD.104.034030

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We compute the logarithmic contributions to the polarized massive Wilson coefficients for deep-inelastic scattering in the asymptotic region Q(2) >> m(2) to three-loop order in the fixed-flavor number scheme and present the corresponding expressions for the polarized massive operator matrix elements needed in the variable flavor number scheme. The calculation is performed in the Larin scheme. For the massive operator matrix elements A(qq,Q)((3),PS) and A(qq,Q)((3),S) the complete results are presented. The expressions are given in Mellin-N space and in momentum fraction z space.

引用

页数：73

共 15 条

[1] The logarithmic contributions to the O(αs3) asymptotic massive Wilson coefficients and operator matrix elements in deeply inelastic scattering
Behring, A.
Bierenbaum, I.
Bluemlein, J.
De Freitas, A.
Klein, S.
Wissbrock, F.
EUROPEAN PHYSICAL JOURNAL C, 2014, 74 (09): : 1 - 54
[2] First O(αs3) heavy flavor contributions to deeply inelastic scattering
Bierenbaum, I.
Bluemlein, J.
Klein, S.
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2008, 183 : 162 - 167
[3] The logarithmic contributions to the O(αs3)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$O(\alpha _s^3)$$\end{document} asymptotic massive Wilson coefficients and operator matrix elements in deeply inelastic scattering
A. Behring
I. Bierenbaum
J. Blümlein
A. De Freitas
S. Klein
F. Wißbrock
The European Physical Journal C, 2014, 74 (9):
[4] Three loop massive operator matrix elements and asymptotic Wilson coefficients with two different masses
Ablinger, J.
Bluemlein, J.
De Freitas, A.
Hasselhuhn, A.
Schneider, C.
Wissbrock, F.
NUCLEAR PHYSICS B, 2017, 921 : 585 - 688
[5] The O(αs3nfTF2CA,F) contributions to the gluonic massive operator matrix elements
Bluemlein, Johannes
Hasselhuhn, Alexander
Klein, Sebastian
Schneider, Carsten
NUCLEAR PHYSICS B, 2013, 866 (02) : 196 - 211
[6] The O (αs3) massive operator matrix elements of O(n f) for the structure function F2(x, Q2) and transversity
Ablinger, J.
Bluemlein, J.
Klein, S.
Schneider, C.
Wissbrock, F.
NUCLEAR PHYSICS B, 2011, 844 (01) : 26 - 54
[7] Benchmark of deep-inelastic-scattering structure functions at O (αs3)
Bertone, Valerio
Karlberg, Alexander
EUROPEAN PHYSICAL JOURNAL C, 2024, 84 (08):
[8] Heavy flavour production in deep-inelastic scattering -: Two-loop massive operator matrix elements and beyond
Bierenbaum, I.
Bluemlein, J.
Klein, S.
ACTA PHYSICA POLONICA B, 2007, 38 (11): : 3543 - 3550
[9] Two-loop operator matrix elements calculated up to finite terms for polarized deep inelastic lepton-hadron scattering
Matiounine, Y
Smith, J
van Neerven, WL
PHYSICAL REVIEW D, 1998, 58 (07):
[10] The first-order factorizable contributions to the three-loop massive operator matrix elements A(3)Qg and ΔA(3)Qg
Ablinger, J.
Behring, A.
Bluemlein, J.
De Freitas, A.
von Manteuffel, A.
Schneider, C.
Schoenwald, K.
NUCLEAR PHYSICS B, 2024, 999

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