# The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge

Luthe T, Maier A, Marquard P, Schröder Y (2017)
Journal of High Energy Physics (10): 166.

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Journal Article | Original Article | Published | English

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We focus on a non-abelian gauge field coupled to a single (but general) representation of a family of N-f fermions. By using the same machinery that had allowed us to evaluate the sub-leading large-N-f term of the five-loop Beta function earlier, we here report on a confirmation of the all-N-f result that has in the meantime been published by another group. Furthermore, in order to push forward the 5-loop renormalization program regarding gauge parameter dependence, we present the linear terms of the complete set of anomalous dimensions, in an expansion in the covariant gauge parameter around the Feynman gauge.
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Open Access publishing charge funded by SCOAP$^3$ – Sponsoring Consortium for Open Access Publishing in Particle Physics and Bielefeld University.
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Luthe T, Maier A, Marquard P, Schröder Y. The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge. Journal of High Energy Physics. 2017;(10): 166.
Luthe, T., Maier, A., Marquard, P., & Schröder, Y. (2017). The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge. Journal of High Energy Physics(10), 166. doi:10.1007/JHEP10(2017)166
Luthe, T., Maier, A., Marquard, P., and Schröder, Y. (2017). The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge. Journal of High Energy Physics:166.
Luthe, T., et al., 2017. The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge. Journal of High Energy Physics, (10): 166.
T. Luthe, et al., “The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge”, Journal of High Energy Physics, 2017, : 166.
Luthe, T., Maier, A., Marquard, P., Schröder, Y.: The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge. Journal of High Energy Physics. : 166 (2017).
Luthe, Thomas, Maier, Andreas, Marquard, Peter, and Schröder, York. “The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge”. Journal of High Energy Physics 10 (2017): 166.
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