Elimination of Threshold Singularities in the Relation Between On-Shell and Pole Widths
High Energy Physics - Phenomenology
2011-07-19 v1
Abstract
In a previous communication by two of us, Phys. Rev. Lett. 81, 1373 (1998), the gauge-dependent deviations of the on-shell mass and total decay width from their gauge-independent pole counterparts were investigated at leading order for the Higgs boson of the Standard Model. In the case of the widths, the deviation was found to diverge at unphysical thresholds, m_H = 2 root{xi_V} m_V (V = W,Z), in the R_xi gauge. In this Brief Report, we demonstrate that these unphysical threshold singularities are properly eliminated if a recently proposed definition of wave-function renormalization for unstable particles is invoked.
Cite
@article{arxiv.hep-ph/0205304,
title = {Elimination of Threshold Singularities in the Relation Between On-Shell and Pole Widths},
author = {Bernd A. Kniehl and Caesar P. Palisoc and Alberto Sirlin},
journal= {arXiv preprint arXiv:hep-ph/0205304},
year = {2011}
}
Comments
8 pages (Latex), 1 figure (Postscript)