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Abstract <p>In this article we obtained the four-loop β-function in <i>N</i> = 1 SQED with <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({{N}_{{\text{f}}}}\)</EquationSource> <!--PhysPNLt2570170Shirokova-m1--> </InlineEquation> flavours regularized by higher derivatives using a special method of calculating vacuum supergraphs. To obtain contributions to the β-function from vacuum graphs we used a C++ computer program. Final result was compared with the anomalous dimension in previous order calculated earlier.</p>

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The Beta Function of N = 1 SQED and the NSVZ Relation at the Four-Loop Level

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • V. Yu. Shirokova,
  • I. E. Shirokov

摘要

Abstract

In this article we obtained the four-loop β-function in N = 1 SQED with \({{N}_{{\text{f}}}}\) flavours regularized by higher derivatives using a special method of calculating vacuum supergraphs. To obtain contributions to the β-function from vacuum graphs we used a C++ computer program. Final result was compared with the anomalous dimension in previous order calculated earlier.