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<p>Recently, a new approach for high loop integrals has been proposed in [1], where the whole parameter integration has been divided into two parts: a one-loop-like integration and the remaining parameter integration. In this paper, we systematically study the one-loop-like integrals. We establish the IBP relations for the integral family and show how to complete the reduction. We find the canonical master integrals and write down the corresponding canonical differential equations.</p>

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The canonical differential equations of the one-loop-like integrals

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年6月26日

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  • Jiaqi Chen,
  • Bo Feng,
  • Liang Zhang

摘要

Recently, a new approach for high loop integrals has been proposed in [1], where the whole parameter integration has been divided into two parts: a one-loop-like integration and the remaining parameter integration. In this paper, we systematically study the one-loop-like integrals. We establish the IBP relations for the integral family and show how to complete the reduction. We find the canonical master integrals and write down the corresponding canonical differential equations.