Four-loop decoupling relations for the strong coupling

Schroeder Y, Steinhauser M (2006)
Journal of High Energy Physics 2006(01): 051.

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We compute the matching relation for the strong coupling constant within the framework of QCD up to four-loop order. This allows a consistent five-loop running (once the beta function is available to this order) taking into account threshold effects. As a side product we obtain the effective coupling of a Higgs boson to gluons with five-loop accuracy.
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Schroeder Y, Steinhauser M. Four-loop decoupling relations for the strong coupling. Journal of High Energy Physics. 2006;2006(01):051.
Schroeder, Y., & Steinhauser, M. (2006). Four-loop decoupling relations for the strong coupling. Journal of High Energy Physics, 2006(01), 051. doi:10.1088/1126-6708/2006/01/051
Schroeder, Y., and Steinhauser, M. (2006). Four-loop decoupling relations for the strong coupling. Journal of High Energy Physics 2006, 051.
Schroeder, Y., & Steinhauser, M., 2006. Four-loop decoupling relations for the strong coupling. Journal of High Energy Physics, 2006(01), p 051.
Y. Schroeder and M. Steinhauser, “Four-loop decoupling relations for the strong coupling”, Journal of High Energy Physics, vol. 2006, 2006, pp. 051.
Schroeder, Y., Steinhauser, M.: Four-loop decoupling relations for the strong coupling. Journal of High Energy Physics. 2006, 051 (2006).
Schroeder, York, and Steinhauser, M. “Four-loop decoupling relations for the strong coupling”. Journal of High Energy Physics 2006.01 (2006): 051.
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