Master Integrals for Fermionic Contributions to Massless Three-Loop Form Factors

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dc.creatorHeinrich, G.
dc.creatorHuber, T.
dc.creatorMaitre, D.
dc.date2007-11-22
dc.date2008-03-27
dc.date.accessioned2026-07-07T11:54:21Z
dc.date.available2026-07-07T11:54:21Z
dc.descriptionIn 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 N_F^2, 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 epsilon, 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 epsilon 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 zeta-function have to be included.
dc.description12 pages, 1 figure. References added and updated. Appendix on evaluation of Mellin-Barnes integrals added. Version to appear in PLB
dc.identifierhttps://arxiv.org/abs/0711.3590
dc.identifierhttp://arxiv.org/abs/0711.3590
dc.identifierPhys.Lett.B662:344-352,2008
dc.identifierdoi:10.1016/j.physletb.2008.03.028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204869
dc.subjectHigh Energy Physics - Phenomenology
dc.titleMaster Integrals for Fermionic Contributions to Massless Three-Loop Form Factors
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