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Next-to-Next-to-Leading Logarithms in Four-Fermion Electroweak Processes at High Energy

J. H. Kühn·S. Moch·A. A. Penin·V. A. Smirnov
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Abstract

We sum up the next-to-next-to-leading logarithmic virtual electroweak corrections to the high energy asymptotics of the neutral current four-fermion processes for light fermions to all orders in the coupling constants using the evolution equation approach. From this all order result we derive finite order expressions through next-to-next-to leading order for the total cross section and various asymmetries. We observe an amazing cancellation between the sizable leading, next-to-leading and next-to-next-to-leading logarithmic contributions at TeV energies.

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J. H. Kühn, S. Moch, A. A. Penin, V. A. Smirnov. 2005-04-22. Next-to-Next-to-Leading Logarithms in Four-Fermion Electroweak Processes at High Energy. https://doi.org/10.1016/s0550-3213(01)00454-0

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