Test of the Goldstone-boson approximation with fermions
- Department of Physics, University of Wisconsin-Madison, 1150 University Avenue, Madison, Wisconsin 53706 (United States)
- Physik Department T30, Technische Universitaet Muenchen, James-Franck Strasse, 85747 Garching b. Muenchen (Germany)
The calculation of the leading electroweak corrections to physical transition matrix elements in powers of M{sub H}{sup 2}/v{sup 2} can be greatly simplified in the limit M{sub H}{sup 2}{gt}M{sub W}{sup 2}, M{sub Z}{sup 2} by the use of the Goldstone-boson approximation. In this approximation, the vector bosons W{sup {plus_minus}} and Z are replaced by the associated scalar Goldstone bosons w{sup {plus_minus}}, z which appear in the symmetry-breaking sector of the standard model in the limit of vanishing gauge couplings. The approximation remains valid in the presence of the Yukawa interactions between the fermions and the Higgs and Goldstone bosons provided the renormalization conditions are formulated so as to be consistent with the standard model. As a concrete test of the approximation scheme, we calculate the dominant radiative corrections to fermionic Higgs-boson decays at one loop including the virtual effects of a heavy top quark. We apply the result to the decays H{r_arrow}t{bar t} and H{r_arrow}b{bar b}, and find that the results including fermions are quite accurate numerically for Higgs-boson masses M{sub H}{gt}400(350) GeV, respectively, even for m{sub t}=175 GeV. We discuss the associated renormalization problem to all orders in an appendix to the paper. {copyright} {ital 1997} {ital The American Physical Society}
- OSTI ID:
- 450555
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 3 Vol. 55; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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