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In previous work arXiv:1009.4135 we have shown that the soft breaking of theBRST symmetry arising within the Gribov-Zwanziger framework can be convertedinto a linear breaking, while preserving the nilpotency of the BRST operator.Due to its compatibility with the Quantum Action Principle, the linearly brokenBRST symmetry directly translates into a set of Slavnov-Taylor identities. Weshow that these identities guarantee the multiplicative renormalizability ofboth Gribov-Zwanziger and Refined Gribov-Zwanziger theories to all orders. Theknown property that only two renormalization factors are needed is recovered.The non-renormalization theorem of the gluon-ghost-antighost vertex as well asthe renormalization factor of the Gribov parameter are derived within thelinearly broken formulation.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Renormalizability of the linearly broken formulation of the BRST  symmetry in presence of the Gribov horizon in Landau gauge Euclidean  Yang-Mills theories