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Phys. Rev. D 59, 013009 (1998) [8 pages]

Unstable Higgs particle and the equivalence theorem

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R. S. Willey*
Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260

See Also: Erratum

Received 21 May 1998; revised 25 August 1998; published 4 December 1998

We consider the subtleties involved in the application of the equivalence theorem to the decay of an unstable Higgs particle. This is formally justified from consideration of unitarity and resonant elastic scattering of the stable decay products. By explicit perturbative calculation we find that the imaginary parts of the one-loop amplitudes for that decay are in agreement with the equivalence theorem only when one includes the imaginary parts generated by evaluating the tree-level amplitudes at the complex on-shell value of the four-momentum squared of the unstable particle (pole mass squared).

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.59.013009
DOI:
10.1103/PhysRevD.59.013009
PACS:
14.80.Bn, 12.15.Lk

*Email address: willey@vms.cis.pitt.edu

See Also

Erratum: R. S. Willey, Erratum: Unstable Higgs particle and the equivalence theorem [Phys. Rev. D 59, 013009 (1999)], Phys. Rev. D 61, 079902 (2000).