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Computation of form factors in massless QCD with finite master integrals

Abstract:
We present the bare one-, two-, and three-loop form factors in massless quantum chromodynamics as linear combinations of finite master integrals. Using symbolic integration, we compute their ε expansions and thereby reproduce all known results with an independent method. Remarkably, in our finite basis, only integrals with a less-than-maximal number of propagators contribute to the cusp anomalous dimensions. We report on indications of this phenomenon at four loops, including the result for a finite, irreducible, twelve-propagator form factor integral. Together with this article, we provide our automated software setup for the computation of finite master integrals.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1103/PhysRevD.93.125014

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author


Publisher:
American Physical Society
Journal:
Physical Review D More from this journal
Volume:
93
Issue:
12
Pages:
125014
Publication date:
2016-06-10
DOI:
EISSN:
2470-0029
ISSN:
2470-0010


Keywords:
Pubs id:
pubs:572761
UUID:
uuid:b80de71c-4e6f-4230-aaff-e943c537d68c
Local pid:
pubs:572761
Source identifiers:
572761
Deposit date:
2016-06-30

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