Elimination of Threshold Singularities in the Relation Between On-Shell and Pole Widths

Details Elimination of Threshold Singularities in the Relation Between On-Shell and Pole Widths Elimination of Threshold Singularities in the Relation Between On-Shell and Pole Widths

2002-05-27

arxiv.org/abs/hep-ph/0205304v1

Phys.Rev.D66:057902,2002

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages (Latex), 1 figure (Postscript)

Scientific paper

10.1103/PhysRevD.66.057902

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.

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