Geometrical approach to Feynman integrals and the epsilon-expansion
classification
✦ hep-th
hep-phmath-phmath.MP
keywords
epsilon-expansionintegralsapplicationapproacharbitrarycaseconsideredconstruction
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Application of the geometrically-inspired representations to the epsilon-expansion of the two-point function with different masses is considered. Explicit result for an arbitrary term of the expansion is obtained in terms of log-sine integrals. Construction of the epsilon-expansion in the three-point case is also discussed.
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Cited by 1 Pith paper
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Recurrence Relations and Dispersive Techniques for Precision Multi-Loop Calculations
Connects recurrence techniques and dispersive methods with dimension shifts to reduce multi-point functions to two-point basis, minimizing dispersive integrals for one- and two-loop calculations.
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