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

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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latex, 20 pages; coupling constant in the fermionic contribution to the electroweak corrections corrected

Scientific paper

10.1016/S0550-3213(01)00454-0

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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