Comment on double-logarithmic corrections to decays of electroweak bosons

Details Comment on double-logarithmic corrections to decays of electroweak bosons Comment on double-logarithmic corrections to decays of electroweak bosons

2009-10-30

arxiv.org/abs/0910.5877v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 4 figures

Scientific paper

We present a short comment on resummation of double-logarithmic (DL) contributions to decays of W and Z -bosons into charged fermion pairs. We show that resummation of DL corrections to the Z -boson decay leads to standard Sudakov form factor with the negative exponent independently of the boson is on-shell or off-shell. In contrast, the Sudakov exponent for the W - decay is negative (positive) when the W-boson is on-shell (off-shell). In this connection we consider applicability of the Dispersion Relations to the case when the imaginary parts contain infrared-divergent contributions.

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