Two-loop electroweak Sudakov logarithms for massive fermion scattering

Details Two-loop electroweak Sudakov logarithms for massive fermion scattering Two-loop electroweak Sudakov logarithms for massive fermion scattering

2008-01-17

arxiv.org/abs/0801.2647v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

To appear in the proceedings of 8th International Symposium on Radiative Corrections (RADCOR 2007): Application of Quantum Fie

Scientific paper

We study the asymptotic behaviour of two-loop electroweak corrections at energies Q >> M_W, where logarithms of the type ln(Q/M_W) become dominant. The calculation of the leading and next-to-leading logarithmic terms for massless and massive fermion-scattering processes is summarized. The derivations are performed diagrammatically within the spontaneously broken electroweak theory. We find that the soft and collinear singularities resulting from photons can be factorized into a QED-like term and that, up to logarithms of the Z-W mass ratio, the effects of symmetry breaking cancel. This result supports resummation prescriptions that are based on a symmetric SU(2)xU(1) theory matched with QED at the electroweak scale.

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