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Electroweak double logarithms in inclusive observables for a generic initial state

M. Ciafaloni·P. Ciafaloni·D. Comelli
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Abstract

High energy observables are characterized by large electroweak radiative corrections of infrared origin; double logarithms are present even for inclusive cross sections, thus violating the Bloch Nordsieck theorem. This effect, related to the initial states carrying nonabelian isospin charges, is here investigated for {\sl any} inclusive cross section in the SU(2)$\otimes$U(1) symmetric limit, that is appropriate for energies much higher than the weak scale. We develop a general formalism allowing to calculate the all order double log resummed cross sections once the hard (tree level) ones are known. The relevant cases of fermion-fermion, fermion-boson and boson-boson scattering are discussed.

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M. Ciafaloni, P. Ciafaloni, D. Comelli. 2000-07-11. Electroweak double logarithms in inclusive observables for a generic initial state. https://doi.org/10.1016/s0370-2693(01)00127-7

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