Journal
PHYSICS LETTERS B
Volume 662, Issue 4, Pages 344-352Publisher
ELSEVIER
DOI: 10.1016/j.physletb.2008.03.028
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Funding
- Science and Technology Facilities Council [PP/D00621X/2, ST/G000905/1, ST/G000522/1] Funding Source: researchfish
- STFC [PP/D00621X/2, ST/G000905/1, ST/G000522/1] Funding Source: UKRI
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In this Letter we continue the calculation of master integrals for massless three-loop form factors by giving analytical results for those integrals which are relevant for the fermionic contributions proportional to N2F, N-F.N, and N-F/N. Working in dimensional regularisation, we express one of the integrals in a closed form which is exact to all orders in c, containing Gamma-functions and hypergeometric functions of unit argument. In all other cases we derive multiple Mellin-Barnes representations from which the coefficients of the Laurent expansion in E are extracted in an analytical form. To obtain the finite part of the three-loop quark and gluon form factors, all coefficients through transcendentality six in the Riemann-function have to be included. (C) 2008 Elsevier B.V. All rights reserved.
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