Two-loop {ital O}({ital G}{sub {ital F}}{sup 2}{ital M}{sub {ital H}}{sup 4}) corrections to the fermionic decay rates of the Higgs boson
- Department of Physics, University of Wisconsin, 1150 University Avenue, Madison, Wisconsin 53706 (United States)
- Max-Planck-Institut fuer Physik, Werner-Heisenberg-Institut, Foehringer Ring 6, 80805 Muenchen (Germany)
- Physik Department T30, Technische Universitaet Muenchen, James-Franck-Strasse, 85747 Garching b. Muenchen (Germany)
We calculate the dominant {ital O}({ital G}{sub {ital F}}{sup 2}{ital M}{sub {ital H}}{sup 4}) two-loop electroweak corrections to the fermionic decay widths of a heavy Higgs boson in the standard model. Use of the Goldstone-boson equivalence theorem reduces the problem to one involving only the physical Higgs boson {ital H} and the Goldstone bosons {ital w}{sup {plus_minus}} and {ital z} of the unbroken theory. The two-loop corrections are opposite in sign to the one-loop electroweak corrections, exceed the one-loop corrections in magnitude for {ital M}{sub {ital H}}{gt}1114 GeV, and increase in relative magnitude as {ital M}{sub {ital H}}{sup 2} for larger values of {ital M}{sub {ital H}}. We conclude that the perturbation expansion in powers of {ital G}{sub {ital F}}{ital M}{sub {ital H}}{sup 2} breaks down for {ital M}{sub {ital H}}{approx}1100 GeV. We discuss briefly the QCD and the complete one-loop electroweak corrections to {ital H}{r_arrow}{ital b{bar b}},{ital t{bar t}}, and comment on the validity of the equivalence theorem. Finally, we note how a very heavy Higgs boson could be described in a phenomenological manner.
- Research Organization:
- University of Wisconsin
- DOE Contract Number:
- AC02-76ER00881
- OSTI ID:
- 44766
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 9 Vol. 51; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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