Journal
PHYSICS LETTERS B
Volume 678, Issue 4, Pages 359-366Publisher
ELSEVIER
DOI: 10.1016/j.physletb.2009.06.038
Keywords
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Funding
- Russian Foundation for Basic Research [08-02-01451]
- EGIDE [12516NC]
- STFC [ST/G000905/1, PP/D00621X/2] Funding Source: UKRI
- Science and Technology Facilities Council [PP/D00621X/2, ST/G000905/1] Funding Source: researchfish
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We complete the calculation of master integrals for massless three-loop form factors by computing the previously-unknown three diagrams with nine propagators in dimensional regularisation. Each of the integrals yields a six-fold Mellin-Barnes representation which we use to compute the coefficients of the Laurent expansion in epsilon. Using Riemann zeta functions Of Lip to weight six, we give fully analytic results for one integral; for a second, analytic results for all but the finite term; for the third, analytic results for all but the last two coefficients in the Laurent expansion. The remaining coefficients are given numerically to sufficiently high accuracy for phenomenological applications. (C) 2009 Elsevier B.V. All rights reserved.
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