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Structure of divergences in the higher-derivative supersymmetric 6D gauge theory

I. L. Buchbinder1,2,3,*, A. S. Budekhina1,†, E. A. Ivanov1,4,‡, and K. V. Stepanyantz5,§

  • *Contact author: buchbinder@theor.jinr.ru
  • †Contact author: budekhina@theor.jinr.ru
  • ‡Contact author: eivanov@theor.jinr.ru
  • §Contact author: stepan@m9com.ru
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Phys. Rev. D 111, 125014 – Published 18 June, 2025

DOI: https://doi.org/10.1103/jvm7-nlpy

Abstract

Using the harmonic superspace approach, we perform a comprehensive study of the structure of divergences in the higher-derivative 6D, N=(1,0) supersymmetric Yang-Mills theory coupled to the hypermultiplet in the adjoint representation. The effective action is constructed in the framework of the superfield background field method with the help of the N=(1,0) supersymmetric higher-derivative regularization scheme which preserves all symmetries of the theory. The one-loop divergences are calculated in a manifestly gauge invariant and 6D, N=(1,0) supersymmetric form, hopefully admitting a generalization to higher loops. The β function in the one-loop approximation is found and analyzed. In particular, it is shown that the one-loop β function for an arbitrary regulator function is specified by integrals of double total derivatives in momentum space, like it happens in 4D, N=1 superfield gauge theories. This points to the potential possibility to derive the all-loop Novikov-Shifman-Vainshtein-Zakharov-like exact β function in the considered theory.

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Phys. Rev. D 111, 125014– Published 18 June, 2025
  • Received 30 March 2025
  • Accepted 21 May 2025
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