On Gauge Invariance of Breit-Wigner Propagators

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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16 p., TeX, (final version)

Scientific paper

10.1007/BF01650437

We present an approach to bosonic ($Z^0, W^{\pm}$) as well as fermionic (top-quark) Breit-Wigner propagators which is consistent with gauge invariance arguments. In particular, for the $Z^0$-boson propagator we extend previous analyses and show that the part proportional to $k_{\mu} k_{\nu}/M^2$ must be modified near the resonance. We derive a mass shift which agrees with results obtained elsewhere by different methods. The modified form of a resonant heavy fermion propagator is also given.

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