### Abstract

We study the one-loop effective action for 6D, N=(1,0) supersymmetric Yang–Mills (SYM) theory with hypermultiplets and 6D, N=(1,1) SYM theory as a subclass of the former, using the off-shell formulation of these theories in 6D, N=(1,0) harmonic superspace. We develop the corresponding supergraph technique and apply it to compute the one-loop divergences in the background field method ensuring the manifest gauge invariance. We calculate the two-point Green functions of the gauge superfield and the hypermultiplet, as well as the three-point gauge-hypermultipet Green function. Using these Green functions and exploiting gauge invariance of the theory, we find the full set of the off-shell one-loop divergent contributions, including the logarithmic and power ones. Our results precisely match with those obtained earlier in [1,2] within the proper time superfield method.

Original language | English |
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Pages (from-to) | 127-158 |

Number of pages | 32 |

Journal | Nuclear Physics B |

Volume | 921 |

DOIs | |

Publication status | Published - 1 Aug 2017 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

*921*, 127-158. https://doi.org/10.1016/j.nuclphysb.2017.05.010