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The Five-loop Beta Function for a General Gauge Group (2017)
Journal Article
Luthe, T., Maier, A., Marquard, P., & Schröder, Y. (2017). The Five-loop Beta Function for a General Gauge Group. Acta Physica Polonica B, 48(12), 2331-2340. https://doi.org/10.5506/aphyspolb.48.2331

We present results for the gluon field anomalous dimension in perturbative QCD and derive the corresponding Beta function at five-loop order. All given results are valid for a general gauge group.

The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge (2017)
Journal Article
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, 2017(10), Article 166. https://doi.org/10.1007/jhep10%282017%29166

We focus on a non-abelian gauge field coupled to a single (but general) representation of a family of Nf fermions. By using the same machinery that had allowed us to evaluate the sub-leading large-Nf term of the five-loop Beta function earlier, we he... Read More about The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge.

Electroweak oblique parameters as a probe of the trilinear Higgs boson self-interaction (2017)
Journal Article
Kribs, G. D., Maier, A., Rzehak, H., Spannowsky, M., & Waite, P. (2017). Electroweak oblique parameters as a probe of the trilinear Higgs boson self-interaction. Physical Review D, 95(9), Article 093004. https://doi.org/10.1103/physrevd.95.093004

We calculate the two-loop contributions from a modified trilinear Higgs self-interaction, κλλSMvh3, to the electroweak oblique parameters S and T. Using the current bounds on S and T from electroweak measurements, we find the 95% C.L. constraint on t... Read More about Electroweak oblique parameters as a probe of the trilinear Higgs boson self-interaction.

Complete renormalization of QCD at five loops (2017)
Journal Article
Luthe, T., Maier, A., Marquard, P., & Schröder, Y. (2017). Complete renormalization of QCD at five loops. Journal of High Energy Physics, 2017(3), Article 20. https://doi.org/10.1007/jhep03%282017%29020

We present new analytical five-loop Feynman-gauge results for the anomalous dimensions of ghost field and -vertex, generalizing the known values for SU(3) to a general gauge group. Together with previously published results on the quark mass and -fie... Read More about Complete renormalization of QCD at five loops.

Five-loop quark mass and field anomalous dimensions for a general gauge group (2017)
Journal Article
Luthe, T., Maier, A., Marquard, P., & Schröder, Y. (2017). Five-loop quark mass and field anomalous dimensions for a general gauge group. Journal of High Energy Physics, 2017(1), Article 81. https://doi.org/10.1007/jhep01%282017%29081

We present analytical five-loop results for the quark mass and quark field anomalous dimensions, for a general gauge group and in the MS scheme. We confirm the values known for the gauge group SU(3) from an independent calculation, and find full agre... Read More about Five-loop quark mass and field anomalous dimensions for a general gauge group.