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We explore various approaches to expand 3-loop 2-point Feynman integrals with respect to the dimensional regularization parameter. These methods are tailored to the range of the squared momentum. Below a threshold in the squared momentum, we can use lattice integration rules and a linear extrapolation for the integral expansion. An expansion of the integrand and adaptive integration of the individual terms can also be employed. We further rely on the latter techniques for the computations above the threshold.

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Methods for Expansion of 3-Loop 2-Point Feynman Integrals

  • 会议论文

  • 发表日期：

    2026年

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  • E. de Doncker,
  • F. Yuasa,
  • T. Ishikawa,
  • K. Kato

摘要

We explore various approaches to expand 3-loop 2-point Feynman integrals with respect to the dimensional regularization parameter. These methods are tailored to the range of the squared momentum. Below a threshold in the squared momentum, we can use lattice integration rules and a linear extrapolation for the integral expansion. An expansion of the integrand and adaptive integration of the individual terms can also be employed. We further rely on the latter techniques for the computations above the threshold.