Electroweak double logarithms in inclusive observables for a generic initial state

Details Electroweak double logarithms in inclusive observables for a generic initial state Electroweak double logarithms in inclusive observables for a generic initial state

2000-07-11

arxiv.org/abs/hep-ph/0007096v1

Phys.Lett. B501 (2001) 216-222

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, 2 figures

Scientific paper

10.1016/S0370-2693(01)00127-7

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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