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

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Abstract
Using the harmonic superspace approach, we perform a comprehensive study of the structure of divergences in the higher-derivative 6 D , 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 6 D , 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 4 D , N = 1 superfield gauge theories. This points to the potential possibility to derive the Novikov-Shifman-Vainshtein-Zakharov-like exact β function in the considered theory. Published by the American Physical Society 2025

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