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Analytic four-loop anomalous dimensions in massless QCD from form factors

Abstract:
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.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1103/PhysRevLett.124.162001

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Sub department:
Mathematical Institute
Role:
Author
ORCID:
0000-0002-9897-5812


Publisher:
American Physical Society
Journal:
Physical Review Letters More from this journal
Volume:
124
Issue:
16
Article number:
162001
Publication date:
2020-04-24
Acceptance date:
2020-04-01
DOI:
EISSN:
1079-7114
ISSN:
0031-9007


Language:
English
Keywords:
Pubs id:
1087677
Local pid:
pubs:1087677
Deposit date:
2020-05-19

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