Finite Width Effects and Gauge Invariance in Radiative $W$ Production and Decay

Details Finite Width Effects and Gauge Invariance in Radiative $W$ Production and Decay Finite Width Effects and Gauge Invariance in Radiative $W$ Production and Decay

1995-03-15

arxiv.org/abs/hep-ph/9503344v1

Phys.Rev.Lett. 75 (1995) 1002-1005

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, Revtex, 3 figures submitted separately as uuencoded tarred postscript files, the complete paper is available at ft

Scientific paper

10.1103/PhysRevLett.75.1002

The naive implementation of finite width effects in processes involving unstable particles can violate gauge invariance. For the example of radiative $W$ production and decay, $q\bar q' \to \ell\nu\gamma$, at tree level, it is demonstrated how gauge invariance is restored by including the imaginary part of triangle graphs in addition to resumming the imaginary contributions to the $W$ vacuum polarization. Monte Carlo results are presented for the Fermilab Tevatron.

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