Cusp and Collinear Anomalous Dimensions in Four-Loop QCD from Form Factors

被引：119

作者：

von Manteuffel, Andreas ^{[1
]}

Panzer, Erik ^{[2
]}

Schabinger, Robert M. ^{[1
]}

机构：

[1] Michigan State Univ, Dept Phys & Astron, E Lansing, MI 48824 USA

[2] Univ Oxford, All Souls Coll, Oxford OX1 4AL, England

来源：

PHYSICAL REVIEW LETTERS | 2020年 / 124卷 / 16期

基金：

美国国家科学基金会;

关键词：

3-LOOP SPLITTING FUNCTIONS; LEADING ORDER; RENORMALIZATION-GROUP; PARTON DENSITIES; BETA-FUNCTION; JET CALCULUS; INTEGRATION; QUARK; ASYMPTOTICS; EQUATIONS;

D O I：

10.1103/PhysRevLett.124.162001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We calculate the complete quark and gluon cusp anomalous dimensions in four-loop massless QCD analytically from first principles. In addition, we determine the complete matter dependence of the quark and gluon collinear anomalous dimensions. Our approach is to Laurent expand four-loop quark and gluon form factors in the parameter of dimensional regularization. We employ finite field and syzygy techniques to reduce the relevant Feynman integrals to a basis of finite integrals, and subsequently evaluate the basis integrals directly from their standard parametric representations.

引用

页数：7

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