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R*-operation and five-loop calculations · Around

2018

R*-operation and five-loop calculations

Ruijl, B., Herzog, F., Ueda, T. et al.

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We sketch how the R*-operation can be used to compute the pole terms of Feynman diagrams.

We identify computational difficulties when performing five-loop calculations, and provide four solutions that drastically reduce the number of terms that are generated.
Using these methods, we have computed the beta function for Yang-Mills theory with fermions, the R-ratio in electron-positron annihilation, and Higgs decays to quarks and gluons at five-loop accuracy.
The results for the beta function and Higgs decay width to gluons in the heavy-top limit are briefly discussed.

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1980
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B.D. McKay,
1981
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Original
2009
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M. Tentyukov and J.A.M. Vermaseren,
2010
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P.A. Baikov, K.G. Chetyrkin, J.H. Kühn and J. Rittinger,
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2012
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